Organizing Committee
Abstract

Incompressible fluids are an abundant source of mathematical and practical problems. The question of global-in-time regularity versus finite-time singularity formation for incompressible fluids, governed by the Navier-Stokes or Euler equations, has been one of the most challenging outstanding problems in applied PDE. There have also been new developments in the study of the onset of turbulence due to linear and nonlinear instabilities in incompressible fluids. Interfacial and surface water waves are physical phenomena that, in addition to the challenges outlined above, involve the evolution of free boundaries. These problems embody many of the mathematical challenges found in studies of nonlinear PDEs.

Progress on these topics is possible because of advances in analysis, numerical computations and physical experiments. In addition, ocean field observations provide a reality test to all conclusions and invite new problems to be addressed. In this program, we provide a venue for interaction among researchers engaged in all of these problem-solving techniques to focus on topics arising in incompressible fluids.

Topics of particular interest include: singularity formation, stability and bifurcation; the modeling and analysis of simplified phenomenological models for the description of coherent structures; and time-dependent and steady free boundary problems including water waves, vortex sheets, capillary problems with contact lines and viscous waves with boundary layers.

Image for "Singularities and Waves In Incompressible Fluids"
Image courtesy of Dr. Véronique Sarano. All further use is prohibited without the express permission of Dr. Sarano.

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Monday, January 30, 2017
TimeEventLocationMaterials
2:30 - 3:30pm ESTICERM Welcome and Brief Introductions11th Floor Lecture Hall 
3:30 - 4:30pm ESTInformal Afternoon Tea11th Floor Collaborative Space 
Tuesday, January 31, 2017
TimeEventLocationMaterials
10:00 - 12:00pm ESTGraduate Student and Postdoc Talks11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Wednesday, February 1, 2017
TimeEventLocationMaterials
10:00 - 12:00pm ESTOverview of Program- Introductory Talks - Speaker- TBA11th Floor Lecture Hall 
2:15 - 4:15pm ESTInterfaces in Fluids - Helena Nussenzveig Lopes, Instituto de MatemáticaRoom #1014, 10th Floor Classroom  
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, February 2, 2017
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, February 3, 2017
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10:00 - 12:00pm ESTPostdoc Talks11th Floor Lecture Hall 
2:15 - 4:15pm ESTInterfaces in Fluids - Helena Nussenzveig Lopes, Instituto de MatemáticaRoom #1014, 10th Floor Classroom  
4:00 - 4:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, February 6, 2017
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2:30 - 3:30pm ESTMeasuring waves using pressure - Katie Oliveras, Seattle University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 7, 2017
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12:00 - 1:00pm ESTGrad Student/Postdoc Meeting with Directorate11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, February 8, 2017
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9:00 - 10:00am ESTProfessional Development - Grant Proposals11th Floor Lecture Hall
2:30 - 3:30pm ESTVanishing viscosity - Jim Kelliher, University of California, Riverside11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, February 9, 2017
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10:00 - 11:00am ESTGraduate Student/Postdoc Seminar Series11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, February 10, 2017
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3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, February 13, 2017
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8:30 - 8:55am ESTRegistration121 South Main Street, Providence, RI, United States 11th Floor  
8:55 - 9:00am ESTWelcome - Brendan Hassett, ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTThe vanishing viscosity limit in porous media - Anna Mazzucato, Pennsylvania State University11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTAnalysis of Boundary Layers- the Good, the Bad, and the Ugly - Toan Nguyen, Pennsylvania State University11th Floor Lecture Hall
11:30 - 12:15pm ESTMultiscale Coherent States in canonical shear flows and Rayleigh-Bénard convection - Fabian Waleffe, University of Wisconsin-Madison11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTOf Kato and Prandtl - Jim Kelliher, University of California Riverside11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTStability of the Couette flow in dimension 3 - Pierre Germain, NYU11th Floor Lecture Hall
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, February 14, 2017
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9:00 - 9:45am ESTEnhanced damping and instability index theorem for 2D Euler equation - Zhiwu Lin, Georgia Institute of Technology11th FLoor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTUniformly rotating smooth solutions for active scalars - Javier Gomez Serrano, Princeton University11th Floor Lecture Hall
11:30 - 12:15pm ESTMixing and un-mixing by incompressible flows - Yao Yao, Georgia Tech11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTGrowth and singularity in 2D fluids - Andrej Zlatos, University of California, San Diego11th Floor Lecture Hall
3:30 - 5:00pm ESTPoster Session / Coffee Tea Break11th Floor Collaborative Space 
Wednesday, February 15, 2017
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9:00 - 9:45am ESTSelf-similar vortex spirals - Volker Elling, University of Michigan11th FLoor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTSeparation for the stationary Prandtl equation - Anne-Laure Dalibard, Pierre-and-Marie-Curie University11th Floor Lecture Hall
11:30 - 12:15pm ESTSteady water waves with localized vorticity - Chongchun Zeng, Georgia Institute of Technology11th Floor Lecture Hall
12:30 - 12:40pm ESTGroup Photo11th Floor Lecture Hall 
12:40 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTOn the Muskat problem - Robert Strain, University of Pennsylvania11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTSingularity Formation in Fluid Models - Tarek Elgindi, Princeton University11th Floor Lecture Hall
Thursday, February 16, 2017
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9:00 - 9:45am ESTDerivation of the Ornstein-Uhlenbeck process for a massive particle in a rarified gas of particles - Isabelle Gallagher, Université Paris-Diderot11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTOn the range of scales in the route to turbulence - Dwight Barkley, University of Warwick11th Floor Lecture Hall
11:30 - 12:15pm ESTGlobal well-posedness of the primitive equations of oceanic and atmospheric dynamics - Jinkai Li, The Chinese University of Hong Kong11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTMicrodroplet instability for a least-action principle for incompressible droplets - Jian-Guo Liu, Duke University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTVanishing viscosity limit for incompressible flows with symmetry. - Milton Lopes Filho, Instituto de Matemática - UFRJ11th Floor Lecture Hall
Friday, February 17, 2017
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9:00 - 9:45am ESTOnsager conjecture and beyond - Tristan Buckmaster, Courant Institute of Mathematical Sciences at NYU11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTOn the Navier–Stokes equations beyond perturbative regimes - Julien Guillod, Princeton University11th Floor Lecture Hall
11:30 - 12:15pm ESTOn the self-similar blow-up scenario for the Euler equations - Anne Bronzi, UNICAMP11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTRecent advances in boundary layer at vanishing viscosity limit. - Claude Bardos, Laboratoire Jacques Louis Lions Denis Diderot University Branch11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, February 20, 2017
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2:30 - 3:30pm ESTLangmuir turbulence under tropical cyclones - Tetsu Hara, University of Rhode Island11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 21, 2017
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, February 22, 2017
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Ethics in Research I11th Floor Lecture Hall
2:30 - 3:30pm ESTOn asymptotic stability of solitary waves for model water wave equations - Bob Pego, Carnegie Mellon University11th Floor Lecture Hall 
3:30 - 4:00pm ESTMentoring and Professional Development Coffee and Tea Break11th Floor Collaborative Space 
Thursday, February 23, 2017
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10:00 - 11:00am ESTGraduate Student/Postdoc Seminar Series - Xuecheng Wang, Princeton University10th Floor Classroom 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, February 24, 2017
TimeEventLocationMaterials
1:00 - 2:00pm ESTHow do oceanographers observe the ocean? - Baylor Fox-Kemper, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, February 27, 2017
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 28, 2017
TimeEventLocationMaterials
2:30 - 3:30pm ESTFull-dispersion shallow water models - Vera Hur, University of Illinois at Urbana-Champaign11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 1, 2017
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Ethics in Research II11th Floor Lecture Hall 
2:30 - 3:30pm ESTConvergence of a boundary integral method for 3D interfacial flow with surface tension - David Ambrose, Drexel University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 2, 2017
TimeEventLocationMaterials
10:00 - 11:00am ESTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, March 3, 2017
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 6, 2017
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 7, 2017
TimeEventLocationMaterials
2:30 - 3:30pm ESTStability and instability of the periodic solutions of the focusing Nonlinear Schrodinger equation - Bernard Deconinck, University of Washington11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 8, 2017
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Papers and Journals11th Floor Lecture Hall
2:30 - 3:30pm ESTTraveling-standing water waves and their stability - Jon Wilkening, University of California - Berkeley11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 9, 2017
TimeEventLocationMaterials
10:00 - 11:00am ESTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, March 10, 2017
TimeEventLocationMaterials
1:00 - 2:00pm ESTHow do oceanographers model the ocean? - Baylor Fox-Kemper, Brown University11th Floor Lecture Hall 
2:30 - 3:30pm ESTTsunami - Harvey Segur, University of Colorado, Boulder11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 13, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTHydrodynamic models and boundary confinement effects - Roberto Camassa, University of North Carolina11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 15, 2017
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 16, 2017
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
1:30 - 3:30pm EDTConformal mapping and Hamiltonian methods for solving the Euler equations - Pavel Lushnikov, University of New MexicoRoom #1014, 10th Floor Classroom  
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, March 17, 2017
TimeEventLocationMaterials
10:00 - 12:00pm EDTConformal mapping and Hamiltonian methods for solving the Euler equations - Pavel Lushnikov, University of New MexicoRoom #1014, 10th Floor Classroom  
2:30 - 3:30pm EDTPlanar Limits of 3D Helical Flows - Anna Mazzucato, Penn State11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 20, 2017
TimeEventLocationMaterials
8:30 - 9:25am EDTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
9:25 - 9:30am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:30 - 10:15am EDTSpreading driven by Marangoni stresses from a point source of surfactant - Shreyas Mandre, Brown University11th Floor Lecture Hall
11:00 - 11:45am EDTThe coalescence, recoil, and breakup of conical drops- exploring how geometry sets the self-similar dynamics around topological singularities. - James Bird, Boston University11th Floor Lecture Hall
12:00 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTTunneling with a Hydrodynamic Pilot-Wave Model - Andre Nachbin, IMPA11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTStability shifting and mixing solutions for the Muskat problem - Diego Cordoba, ICMat-CSIC11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, March 21, 2017
TimeEventLocationMaterials
9:15 - 10:00am EDTFinite-time rupture in thin films driven by nonconservative effects - Thomas Witelski, Duke University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee Break11th Floor Collaborative Space 
10:30 - 11:15am EDTDroplets and bubbles with phase transitions - Detlef Lohse, University of Twente11th Floor Lecture Hall
11:30 - 12:15pm EDTImpacts of Hydrophobic Spheres and Bouncing Droplets- A kinematic matching model. - Carlos Galeano-Rios, University of Bath11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTThe moving contact line singularity - an experimentalists view - Kenny Breuer, Brown University11th Floor Lecture Hall
3:30 - 5:00pm EDTPoster Session / Coffee Tea Break11th Floor Collaborative Space 
Wednesday, March 22, 2017
TimeEventLocationMaterials
9:15 - 10:00am EDTMotion of thin droplets over surfaces - Dirk Peschka, Weierstrass Institute for Applied Analysis and Stochastics11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee Break11th Floor Collaborative Space 
10:30 - 11:15am EDTThe life of vortex knots and the conservation of helicity - William Irvine, University of Chicago11th Floor Lecture Hall
11:30 - 12:15pm EDTGeometric singularities - Jens Eggers, University of Bristol11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTDynamics of singularities and wavebreaking in 2D hydrodynamics with free surface - Pavel Lushnikov, University of New Mexico11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTAccurate computation of boundary integrals for nearly touching interfaces - Michael Siegel, New Jersey Institute of Technology11th Floor Lecture Hall
Thursday, March 23, 2017
TimeEventLocationMaterials
9:30 - 10:15am EDTHighly accurate integral equation based methods for surfactant laden drops in two and three dimensions - Anna-Karin Tornberg, KTH Royal Institute of Technology11th Floor Lecture Hall
10:30 - 11:00am EDTCoffee Break11th Floor Collaborative Space 
11:00 - 11:45am EDTHydrodynamic quantum analogs - John Bush, MIT11th Floor Lecture Hall
12:00 - 12:10pm EDTGroup Photo11th Floor Lecture Hall 
12:10 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTThe air-cushioning under an impacting highly viscous drop - Sigurdur Thoroddsen, King Abdullah University of Science and Technology (KAUST)11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTDrop impacts- sheets and interactions - Lydia Bourouiba, MIT11th Floor Lecture Hall
Friday, March 24, 2017
TimeEventLocationMaterials
9:15 - 10:00am EDTThe “Saturn-rings” instability- rim streaming from the equator of a drop in a uniform electric field - Petia Vlahovska, Brown University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee Break11th Floor Collaborative Space 
10:30 - 11:15am EDTParticle Laden Flow from Theory to Experiment - Andrea Bertozzi, UCLA11th Floor Lecture Hall
11:30 - 12:15pm EDTAsymptotic decay and rupture in thin viscous liquid sheets- past and new - Georgy Kitavtsev, University of Bristol11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 27, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTAnalysis of viscous surface wave problems - Ian Tice, Carnegie Mellon University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 28, 2017
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 29, 2017
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 30, 2017
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, March 31, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTSemester Program Lecture - Milton Lopes Filho, Universidade Federal do Rio de Janeiro10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, April 3, 2017
TimeEventLocationMaterials
12:00 - 1:00pm EDTOn the stability of Prandtl sublayer - Emmanuel Grenier, ENS Lyon  
2:30 - 3:30pm EDTSemester Program Lecture - Frédéric Rousset, Département de Mathématiques d’Orsay11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTLarge amplitude Faraday waves - Didier Clamond, University of Nice - Sophia Antipolis11th Floor Lecture Hall 
Tuesday, April 4, 2017
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 5, 2017
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Job applications in academia11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTThe Mathematics of Liquid Crystals- Held in Room 108, 170 Hope Street - Sir John Ball, University of OxfordRoom 108, 170 Hope Street  
Thursday, April 6, 2017
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:30 - 5:30pm EDTThe Mathematics of Liquid Crystals- Held in Room 108, 170 Hope Street - Sir John Ball, University of OxfordRoom 108, 170 Hope Street  
Friday, April 7, 2017
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3:00 - 4:00pm EDT A Stable Manifold Theorem for a class of degenerate evolution equations and decay of kinetic shock layers- Held in Room 108, 170 Hope Street - Kevin Zumbrun, Indiana Room 108, 170 Hope Street  
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, April 10, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTThe Navier-Stokes, Euler and Related Geophysical Models: Existence, Uniqueness and Finite-Time Singularity (Part I) - Edriss Titi, Texas A&M University and The Weizmann Institute11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTOn the Cauchy problem for vortex rings - Vladimir Sverak, University of Minnesota11th Floor Lecture Hall 
Tuesday, April 11, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTOn 1d equations modeling features of fluid flows. - Vladimir Sverak, University of Minnesota11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 12, 2017
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Hiring Process11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, April 13, 2017
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, April 14, 2017
TimeEventLocationMaterials
9:00 - 11:00am EDTInterfaces in Fluids - Helena Nussenzveig Lopes, Instituto de MatemáticaRoom #1014, 10th Floor Classroom  
2:30 - 3:30pm EDTOn ill-posedness of some singular limits in fluids and plasmas. - Toan Nguyen, Penn State11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, April 17, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTThe Navier-Stokes, Euler and Related Geophysical Models: Existence, Uniqueness and Finite-Time Singularity (Part II) - Edriss Titi, Texas A&M University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 18, 2017
TimeEventLocationMaterials
10:30 - 10:40am EDTPost Doc and Graduate Student Photo11th Floor Collaborative Space 
2:30 - 3:30pm EDTMultiple timescales in the evolution of fluids models. - Margaret Beck, Boston University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 19, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTPressure boundary conditions in incompressible viscous fluid flows - Vishal Vasan, International Centre for Theoretical Sciences11th Floor Lecture Hall 
3:30 - 3:40pm EDTSemester Program Group Photo11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, April 20, 2017
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
6:00 - 8:00pm EDTRose Whelan Society Wine and Cheese Social11th Floor Conference Room 
Friday, April 21, 2017
TimeEventLocationMaterials
9:00 - 9:20am EDTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
9:20 - 10:00am EDTNonlinear instabilities in viscous multilayer flows - Demetrios Papageorgiou, Imperial College London11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:10am EDT Parametric subharmonic instability of internal waves- locally confined beams versus monochromatic wavetrains - Triantaphyllos Akylas, MIT11th Floor Lecture Hall 
11:20 - 12:00pm EDTThe stability of capillary waves on fluid sheets - Mark Blyth, University of East Anglia11th Floor Lecture Hall 
12:00 - 12:10pm EDTSemester Program Organizers Photo11th Floor Conference Room 
12:00 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:40pm EDTExperiments on the inversion of pressure measurements to surface displacement. - Diane Henderson, Pennsylvania State University11th Floor Lecture Hall 
2:40 - 3:20pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:20 - 4:00pm EDTHydroelastic waves and related flows - Emilian Parau, UEA11th Floor Lecture Hall 
4:10 - 4:50pm EDTFlow structure beneath rotational water waves - Paul Milewski, University of Bath11th Floor Lecture Hall 
Monday, April 24, 2017
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:40am EDTNew asymmetric gravity-capillary and flexural waves - Jean-Marc Vanden-Broeck, University College London11th Floor Lecture Hall
9:40 - 10:10am EDTCoffee Break11th Floor Collaborative Space 
10:10 - 10:50am EDTInstabilities in Fluids Under Linear Shear - Katie Oliveras, Seattle University11th Floor Lecture Hall
11:00 - 11:40am EDTStability of traveling water waves with a point vortex - Samuel Walsh, University of Missouri11th Floor Lecture Hall
11:40 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:40pm EDTOn long term regularity of water wave models - Alexandru Ionescu, Princeton University11th Floor Lecture Hall
2:50 - 3:30pm EDTComputing Stokes waves with constant vorticity - Vera Mikyoung Hur, University of Illinois at Urbana-Champaign11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:40pm EDTExperimental investigation of gravity-capillary solitary waves in deep water - Naeem Masnadi, University of Maryland11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception / Poster Session11th Floor Collaborative Space 
Tuesday, April 25, 2017
TimeEventLocationMaterials
9:00 - 9:40am EDTon Zakharov's wave turbulence theory for capillary waves - Toan Nguyen, Penn State11th Floor Lecture Hall 
9:40 - 10:10am EDTCoffee Break11th Floor Collaborative Space 
10:10 - 10:50am EDTIll-posedness of truncated series models of water waves - David Ambrose, Drexel University11th Floor Lecture Hall
11:00 - 11:40am EDTControl and stabilization of water waves - Thomas Alazard, CNRS and ENS Paris-Saclay11th Floor Lecture Hall
11:40 - 11:50am EDTGroup Photo11th Floor Lecture Hall 
11:50 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:40pm EDTShoaling of Solitary Waves - Harry Yeh, Oregon State University11th Floor Lecture Hall
2:50 - 3:30pm EDTInstability of Steep Ocean Waves and Whitecapping - Sergey Dyachenko, University of Illinois11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:40pm EDTOn two dimensional gravity water waves with angled crests - Sijue Wu, University of Michigan, Ann Arbor11th Floor Lecture Hall
Wednesday, April 26, 2017
TimeEventLocationMaterials
9:00 - 9:40am EDTModified Serre-Green-Naghdi equations with improved or without dispersion. - Didier Clamond, University of Nice - Sophia Antipolis11th Floor Lecture Hall
9:40 - 10:10am EDTCoffee Break11th Floor Collaborative Space 
10:10 - 10:50am EDTFrequency Downshift in a Viscous Fluid - John Carter, Seattle University11th Floor Lecture Hall
11:00 - 11:40am EDTBoussinesq systems for water waves - Min Chen, Purdue University11th Floor Lecture Hall
11:40 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:40pm EDTThe nonlinear Schrodinger equation with a potential - Fabio Pusateri, Princeton University11th Floor Lecture Hall
2:50 - 3:30pm EDTSmall-amplitude solitary waves for the full-dispersion Kadomtsev–Petviashvili equation - Mats Ehrnstrom, NTNU Norwegian University of Science and Technology11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:40pm EDTSurface water waves over bathymetry - Catherine Sulem, University of Toronto11th Floor Lecture Hall
6:30 - 8:00pm EDTPublic Lecture: Modeling Sea Ice in a Changing Climate - Ken Golden, University of Utah11th Floor Lecture Hall 
Thursday, April 27, 2017
TimeEventLocationMaterials
9:00 - 9:40am EDTThe shoreline problem for the nonlinear shallow water and Green-Naghdi equations - David Lannes, Université de Bordeaux and CNRS11th Floor Lecture Hall
9:40 - 10:10am EDTCoffee Break11th Floor Collaborative Space 
10:10 - 10:50am EDTComputing Flexural-Gravity Waves - Olga Trichtchenko, ICERM11th Floor Lecture Hall
11:00 - 11:40am EDTThe stability of contact lines in fluids - Ian Tice, Carnegie Mellon University11th Floor Lecture Hall
11:40 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:40pm EDTSteady three-dimensional ideal flows with vorticity - Erik Wahlén, Lund University11th Floor Lecture Hall
2:50 - 3:30pm EDTWind turbulence over surface water waves in strongly forced conditions - Tetsu Hara, University of Rhode Island11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:40pm EDTAsymptotic behavior of solitary waves with localized vorticity in deep water - Ming Chen, University of Pittsburgh11th Floor Lecture Hall
5:00 - 6:30pm EDTPizza Social11th Floor Collaborative Space 
Friday, April 28, 2017
TimeEventLocationMaterials
9:00 - 9:40am EDTTransverse stability of periodic waves in water-wave models - Mariana Haragus, Université Bourgogne Franche-Comté11th Floor Lecture Hall
9:40 - 10:10am EDTCoffee Break11th Floor Collaborative Space 
10:10 - 10:50am EDTWater Waves Affect Ocean Currents, Turbulence, and Climate - Baylor Fox-Kemper, Brown DEEPS & IBES11th Floor Lecture Hall
11:00 - 11:40am EDTNonlinear Modulational Instability of Dispersive PDE Models. - Zhiwu Lin, Georgia Tech11th Floor Lecture Hall
11:40 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:40pm EDTA model for wind-driven water waves as an instability of viscous fluids - Vishal Vasan, International Centre for Theoretical Sciences (ICTS-TIFR)11th Floor Lecture Hall
2:50 - 3:30pm EDTGlobal bifurcation of rotating vortex patches - Miles Wheeler, Courant Institute of Mathematical Sciences11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:40pm EDTThe three-wave PDEs for resonantly interacting triads. - Harvey Segur, University of Colorado, Boulder11th Floor Lecture Hall
Monday, May 1, 2017
TimeEventLocationMaterials
10:00 - 12:00pm EDTInterfaces in Fluids - Helena Nussenzveig Lopes, Instituto de MatemáticaRoom #1014, 10th Floor Classroom  
2:30 - 3:30pm EDTVortex sheets in domains with boundary - Helena Nussenzveig Lopes, Universidade Federal do Rio de Janeiro11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, May 2, 2017
TimeEventLocationMaterials
10:00 - 12:00pm EDTInterfaces in Fluids - Helena Nussenzveig Lopes, Instituto de MatemáticaRoom #1014, 10th Floor Classroom  
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, May 3, 2017
TimeEventLocationMaterials
10:00 - 12:00pm EDTInterfaces in Fluids - Helena Nussenzveig Lopes, Instituto de MatemáticaRoom #1014, 10th Floor Classroom  
2:30 - 3:30pm EDTThe Onsager conjecture in a domain with Boundary - Claude Bardos, University of Paris11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTGlobal existence for the Wave-Klein-Gordon system and applications - Benoit Pausader, Brown University11th Floor Lecture Hall 
Thursday, May 4, 2017
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student/Postdoc Seminar Series10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, May 5, 2017
TimeEventLocationMaterials
2:30 - 3:30pm EDTVortrices in rapidly rotating Boussinesq convection - Gene Wayne, Boston University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 

Associated Semester Workshops

Dynamics of Small Scales in Fluids
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Computational Aspects of Water Waves
Image for "Computational Aspects of Water Waves"
Water Waves
Image for "Water Waves"

Publications

  • Claude Bardos, Edriss S. Titi, Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains, Archive for Rational Mechanics and Analysis 228 (2017) no. 1, 197–207.
  • Noah Stevenson, Ian Tice, Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier--Stokes Equations, SIAM Journal on Mathematical Analysis 53 (2021) no. 6, 6370--6423.
  • Jon Wilkening, Traveling-standing water waves, Fluids 6 (2021) no. 5, 187.
  • Natalia Sannikova, Diego Arcas, Harvey Segur, Tsunami amplitude decay on source aspect ratio investigation, AGU Fall Meeting Abstracts, vol. 2020, 2020, pp. NH014--0028.
  • Bosco Garc{\'\i}a-Archilla, Julia Novo, Edriss S Titi, Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations, SIAM Journal on Numerical Analysis 58 (2020) no. 1, 410--429.
  • Dragos Iftimie, Milton C Lopes Filho, HJ Nussenzveig Lopes, Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains, Communications in Partial Differential Equations 45 (2020) no. 2, 109--145.
  • Elaine Cozzi, James P Kelliher, Well-posedness of the 2D Euler equations when velocity grows at infinity, arXiv preprint arXiv:1709.07422 (2017).
  • Harvey Segur, Soroush Khadem, Wind-Driven Waves on the Air-Water Interface, Fluids 6 (2021), 122.
  • Katie L Oliveras, Salvatore Calatola-Young, A different derivation of conservation laws for water waves, arXiv preprint arXiv:2105.07580 (2021).
  • James Wing Chee Graham, Katie L Oliveras, Olga Trichtchenko, A Novel Method for Generating 3D Hydrodynamic Conservation Laws, arXiv preprint arXiv:2111.15558 (2021).
  • Huy Q Nguyen, Beno{\^\i}t Pausader, A paradifferential approach for well-posedness of the Muskat problem, Archive for Rational Mechanics and Analysis 237 (2020) no. 1, 35--100.
  • KL Oliveras, A Weak Formulation of Water Waves in Surface Variables, arXiv preprint arXiv:2008.00940 (2020).
  • Claude Bardos, Nicolas Besse, About the derivation of the quasilinear approximation in plasma physics, arXiv preprint arXiv:2011.08085 (2020).
  • Qing Li, Baylor Fox-Kemper, Anisotropy of Langmuir turbulence and the Langmuir-enhanced mixed layer entrainment, Physical Review Fluids 5 (2020) no. 1, 013803.
  • Claude W Bardos, Edriss S Titi, C 0, $\alpha$ boundary regularity for the pressure in weak solutions of the 2 d Euler equations, Philosophical Transactions of the Royal Society A 380 (2022) no. 2218, 20210073.
  • Carlos A Galeano-Rios, Radu Cimpeanu, Isabelle A Bauman, Annika MacEwen, Paul A Milewski, Daniel M Harris, Capillary-scale solid rebounds: experiments, modelling and simulations, Journal of Fluid Mechanics 912 (2021).
  • E Grenier, Derivation of the ion equation, Quarterly of applied mathematics 78 (2020) no. 2.
  • Claude Bardos, Nicolas Besse, Diffusion limit of the Vlasov equation in the weak turbulent regime, Journal of Mathematical Physics 62 (2021) no. 10, 101505.
  • Julien Guillod, Mikhail Korobkov, Xiao Ren, Existence and uniqueness for plane stationary Navier-Stokes flows with compactly supported force, arXiv preprint arXiv:2111.11042 (2021).
  • Juhi Jang, Walter A Strauss, Yilun Wu, Existence of Rotating Stars with Variable Entropy, arXiv preprint arXiv:2111.04634 (2021).
  • Matthew Durey, Paul A Milewski, Zhan Wang, Faraday pilot-wave dynamics in a circular corral, Journal of Fluid Mechanics 891 (2020).
  • AI Dyachenko, SA Dyachenko, VE Zakharov, Free Surface in 2D Potential Flow: Singularities, Invariants and Virtual Fluid, arXiv preprint arXiv:2109.13159 (2021).
  • Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond, From hard spheres dynamics to the Stokes--Fourier equations: an L2 analysis of the Boltzmann--Grad limit, Comptes Rendus Mathematique 353 (2015) no. 7, 623--627.
  • Yan Guo, Benoit Pausader, Klaus Widmayer, Global Axisymmetric Euler Flows with Rotation, arXiv preprint arXiv:2109.01029 (2021).
  • Walter A Strauss, Yilun Wu, Global Continuation of a Vlasov Model of Rotating Galaxies, arXiv preprint arXiv:2203.01454 (2022).
  • Dongfen Bian, Xueke Pu, Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection, Journal of Mathematical Fluid Mechanics 22 (2020) no. 1, 1--13.
  • David M Ambrose, Anna L Mazzucato, Global Solutions of the Two-Dimensional Kuramoto--Sivashinsky Equation with a Linearly Growing Mode in Each Direction, Journal of Nonlinear Science 31 (2021) no. 6, 1--26.
  • Hongjie Dong, Francisco Gancedo, Huy Q Nguyen, Global well-posedness for the one-phase Muskat problem, arXiv preprint arXiv:2103.02656 (2021).
  • Dongfen Bian, Yao Xiao, Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows, Discrete \& Continuous Dynamical Systems-B 26 (2021) no. 3, 1243.
  • Jongkeun Choi, Hongjie Dong, Longjuan Xu, Gradient estimates for Stokes and Navier-Stokes systems with piecewise DMO coefficients, arXiv preprint arXiv:2105.05429 (2021).
  • Jon Wilkening, Harmonic stability of standing water waves, arXiv preprint arXiv:1903.05621 (2019).
  • Ryan Creedon, Bernard Deconinck, Olga Trichtchenko, High-frequency instabilities of a Boussinesq--Whitham system: a perturbative approach, Fluids 6 (2021) no. 4, 136.
  • Ryan P Creedon, Bernard Deconinck, Olga Trichtchenko, High-frequency instabilities of Stokes waves, Journal of Fluid Mechanics 937 (2022).
  • Ryan Creedon, Bernard Deconinck, Olga Trichtchenko, High-frequency instabilities of the Kawahara equation: a perturbative approach, SIAM Journal on Applied Dynamical Systems 20 (2021) no. 3, 1571--1595.
  • Konstantinos Papatryfonos, M{\'e}lanie Ruelle, Corentin Bourdiol, Andr{\'e} Nachbin, John WM Bush, Matthieu Labousse, Hydrodynamic superradiance in wave-mediated cooperative tunneling, arXiv preprint arXiv:2110.11949 (2021).
  • Natalia K Sannikova, Harvey Segur, Diego Arcas, Influence of Tsunami Aspect Ratio on Near and Far-Field Tsunami Amplitude, Geosciences 11 (2021) no. 4, 178.
  • Ruben J Tomlin, Radu Cimpeanu, Demetrios T Papageorgiou, Instability and dripping of electrified liquid films flowing down inverted substrates, Physical Review Fluids 5 (2020) no. 1, 013703.
  • Hongjie Dong, Yan Guo, Timur Yastrzhembskiy, Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition, arXiv preprint arXiv:2111.09840 (2021).
  • Qiming Wang, Demetrios T Papageorgiou, Jean-Marc Vanden-Broeck, Korteweg--de Vries solitons on electrified liquid jets, Physical Review E 91 (2015) no. 6, 063012.
  • Andr{\'e} Nachbin, Kuramoto-like synchronization mediated through Faraday surface waves, Fluids 5 (2020) no. 4, 226.
  • Adrian Constantin, Walter Strauss, Eugen V{\u{a}}rv{\u{a}}ruc{\u{a}}, Large-amplitude steady downstream water waves, Communications in Mathematical Physics 387 (2021) no. 1, 237--266.
  • Dongfen Bian, Yan Guo, Ian Tice, Linear instability of Z-pinch in plasma: Inviscid case, Mathematical Models and Methods in Applied Sciences 31 (2021) no. 02, 409--472.
  • Dongfen Bian, Yan Guo, Ian Tice, Linear instability of Z-pinch in plasma: Viscous case, Mathematical Models and Methods in Applied Sciences 30 (2020) no. 14, 2827--2908.
  • Brek Meuris, Saad Qadeer, Panos Stinis, Machine-learning custom-made basis functions for partial differential equations, arXiv preprint arXiv:2111.05307 (2021).
  • Demetrios T Papageorgiou, Saleh Tanveer, Mathematical study of a system of multi-dimensional non-local evolution equations describing surfactant-laden two-fluid shear flows, Proceedings of the Royal Society A 477 (2021) no. 2252, 20210307.
  • Hannah Potgieter, John D Carter, Diane M Henderson, Modeling the Second Harmonic in Surface Water Waves Using Generalizations of NLS, Water Waves (2022), 1--25.
  • Jinbing Chen, Dmitry E Pelinovsky, Jeremy Upsal, Modulational instability of periodic standing waves in the derivative NLS equation, Journal of Nonlinear Science 31 (2021) no. 3, 1--32.
  • Tianwen Luo, Edriss S Titi, Non-uniqueness of weak solutions to hyperviscous Navier--Stokes equations: on sharpness of J.-L. Lions exponent, Calculus of Variations and Partial Differential Equations 59 (2020) no. 3, 1--15.
  • Antoine Remond-Tiedrez, Nonlinear Partial Differential Equations in Fluid Dynamics: Interfaces, Microstructure, and Stability, Ph.D. thesis, Carnegie Mellon University, 2020.
  • David M Ambrose, Roberto Camassa, Jeremy L Marzuola, Richard M McLaughlin, Quentin Robinson, Jon Wilkening, Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography, arXiv preprint arXiv:2108.01786 (2021).
  • Kazuki Koga, Numerical reparametrization of periodic planar curves via curvature interpolation, arXiv preprint arXiv:2110.12432 (2021).
  • Baylor Fox-Kemper, Leah Johnson, Fangli Qiao, Chapter 4 - Ocean near-surface layers, Ocean Mixing, Elsevier, 2022, pp. 65-94.
  • Benoit Pausader, Yan Guo, Klaus Widmayer, On long time existence for small solutions to Euler-Coriolis, 2021 Spring Eastern Virtual Sectional Meeting, AMS, 2021, .
  • Sergey A Dyachenko, On the dynamics of a free surface of an ideal fluid in a bounded domain in the presence of surface tension, Journal of Fluid Mechanics 860 (2019), 408--418.
  • Claude Bardos, Piotr Gwiazda, Agnieszka {\'S}wierczewska-Gwiazda, Edriss S Titi, Emil Wiedemann, On the extension of Onsager’s conjecture for general conservation laws, Journal of Nonlinear Science 29 (2019) no. 2, 501--510.
  • Dongfen Bian, On the nonlinear stability and instability of the Boussinesq system for magnetohydrodynamics convection, Mathematics 8 (2020) no. 7, 1049.
  • Kristoffer Varholm, Erik Wahl{\'e}n, Samuel Walsh, On the stability of solitary water waves with a point vortex, Communications on Pure and Applied Mathematics 73 (2020) no. 12, 2634--2684.
  • Yan Guo, Chunyan Huang, Benoit Pausader, Klaus Widmayer, On the stabilizing effect of rotation in the 3d Euler equations, arXiv preprint arXiv:2010.10460 (2020).
  • Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond, Sergio Simonella, One-sided convergence in the Boltzmann-Grad limit, arXiv preprint arXiv:1612.03722 (2016).
  • Huy Q Nguyen, Walter A Strauss, Proof of modulational instability of Stokes waves in deep water, arXiv preprint arXiv:2007.05018 (2020).
  • Hantaek Bae, James P Kelliher, Propagation of striated regularity of velocity for the Euler equations, arXiv preprint arXiv:1508.01915 24 (2015).
  • Jon Wilkening, Xinyu Zhao, Quasi-periodic travelling gravity--capillary waves, Journal of Fluid Mechanics 915 (2021).
  • Walter A. Strauss, Yilun Wu, Rapidly Rotating Stars, Communications in Mathematical Physics 368 (2019) no. 2, 701--721.
  • Jeremy Upsal, Bernard Deconinck, Real Lax spectrum implies spectral stability, Studies in Applied Mathematics 145 (2020) no. 4, 765--790.
  • Joseph Skitka, JB Marston, Baylor Fox-Kemper, Reduced-order quasilinear model of ocean boundary-layer turbulence, Journal of Physical Oceanography 50 (2020) no. 3, 537--558.
  • Dallas Albritton, Hongjie Dong, Regularity properties of passive scalars with rough divergence-free drifts, arXiv preprint arXiv:2107.12511 (2021).
  • CH Aurther, Rafael Granero-Belinch{\'o}n, Steve Shkoller, Jon Wilkening, Rigorous asymptotic models of water waves, Water Waves 1 (2019) no. 1, 71--130.
  • Eduardo Garc{\'\i}a-Ju{\'a}rez, Javier G{\'o}mez-Serrano, Huy Q Nguyen, Beno{\^\i}t Pausader, Self-similar solutions for the Muskat equation, Advances in Mathematics 399 (2022), 108294.
  • Kazuki Koga, Signal processing approach to mesh refinement in simulations of axisymmetric droplet dynamics, Journal of Computational and Applied Mathematics 383 (2021), 113131.
  • Jon Wilkening, Xinyu Zhao, Spatially quasi-periodic water waves of infinite depth, Journal of Nonlinear Science 31 (2021) no. 3, 1--43.
  • Yan Guo, Ian Tice, Stability of contact lines in fluids: 2D Navier-Stokes flow, arXiv preprint arXiv:2010.15713 (2020).
  • Dongfen Bian, Shouyi Dai, Jingjing Mao, Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation, Applied Mathematics Letters 121 (2021), 107415.
  • Emmanuel Grenier, Toan T. Nguyen, Stability of shear flows near a boundary, 2020.
  • Jeremy Upsal, Stability of solutions of integrable partial differential equations, University of Washington, 2020.
  • Dongfen Bian, Xueke Pu, Stability threshold for 2D shear flows of the Boussinesq system near Couette, arXiv preprint arXiv:2012.02386 (2020).
  • Sergey A Dyachenko, Vera Mikyoung Hur, Stokes waves with constant vorticity: I. Numerical computation, Studies in Applied Mathematics 142 (2019) no. 2, 162--189.
  • Sergey A Dyachenko, Vera Mikyoung Hur, Stokes waves with constant vorticity: folds, gaps and fluid bubbles, Journal of Fluid Mechanics 878 (2019), 502--521.
  • Claude Bardos, Trinh T Nguyen, Toan T Nguyen, Edriss S Titi, The inviscid limit for the $2 d $ Navier-Stokes equations in bounded domains, arXiv preprint arXiv:2111.14782 (2021).
  • Erik Van Sebille, Stefano Aliani, Kara Lavender Law, Nikolai Maximenko, Jos{\'e} M Alsina, Andrei Bagaev, Melanie Bergmann, Bertrand Chapron, Irina Chubarenko, Andr{\'e}s C{\'o}zar, others, The physical oceanography of the transport of floating marine debris, Environmental Research Letters 15 (2020) no. 2, 023003.
  • Saad Qadeer, Ehssan Nazockdast, Boyce E Griffith, The Projection Extension Method: A Spectrally Accurate Technique for Complex Domains, arXiv preprint arXiv:2111.07944 (2021).
  • Saad Qadeer, Boyce E Griffith, The smooth forcing extension method: A high-order technique for solving elliptic equations on complex domains, Journal of Computational Physics 439 (2021), 110390.
  • Hongjie Dong, Yan Guo, Zhimeng Ouyang, The Vlasov-Poisson-Landau system with the specular-reflection boundary condition, arXiv preprint arXiv:2010.05314 (2020).
  • Hongjie Dong, Chulan Zeng, Qi S Zhang, Time analyticity for fractional heat equations, arXiv preprint arXiv:2108.01128 (2021).
  • Hongjie Dong, Xinghong Pan, Time Analyticity for Inhomogeneous Parabolic Equations and the Navier--Stokes Equations in the Half Space, Journal of Mathematical Fluid Mechanics 22 (2020) no. 4, 1--20.
  • Sergey A Dyachenko, Traveling capillary waves on the boundary of a disc, arXiv preprint arXiv:1911.07557 (2019).
  • Susanna Haziot, Vera Hur, Walter Strauss, John Toland, Erik Wahl{\'e}n, Samuel Walsh, Miles Wheeler, Traveling water waves—the ebb and flow of two centuries, Quarterly of Applied Mathematics 80 (2022) no. 2, 317--401.
  • Giovanni Leoni, Ian Tice, Traveling wave solutions to the free boundary incompressible Navier-Stokes equations, arXiv preprint arXiv:1912.10091 (2019).
  • Jeffrey Knowles, Harry Yeh, Fourfold amplification of solitary-wave Mach reflection at a vertical wall, Journal of Fluid Mechanics 861 (2019), 517–523.
  • Olga Trichtchenko, Bernard Deconinck, Richard Koll{\'a}r, Stability of Periodic Traveling Wave Solutions to the Kawahara Equation, SIAM J. Appl. Dyn. Syst. 17 (2018), 2761-2783.
  • Qing Li, Baylor Fox-Kemper, Oyvind Breivik, Adrean Webb, Statistical Models of Global Langmuir Mixing, Ocean Modelling 113 (2017), .
  • Walter A. Strauss, Yilun Wu, Steady States of Rotating Stars and Galaxies, SIAM J. Math. Anal. 49 (2017), 4865-4914.
  • Emmanuel Grenier, Toan T. Nguyen, Sublayer of Prandtl Boundary Layers, Archive for Rational Mechanics and Analysis 229 (2018) no. 3, 1139–1151.
  • Toan T. Nguyen, Trinh T. Nguyen, The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space, Archive for Rational Mechanics and Analysis 230 (2018) no. 3, 1103–1129.
  • Quansen Jiu, Milton C. Lopes Filho, Dongjuan Niu, Helena J. Nussenzveig Lopes, The limit of vanishing viscosity for the incompressible 3D Navier–Stokes equations with helical symmetry, Physica D: Nonlinear Phenomena 376-377 (2018), 238–246.
  • Bernard Deconinck, Jeremy Upsal, The Orbital Stability of Elliptic Solutions of the Focusing Nonlinear Schr\"odinger Equation, SIAM J. Math. Anal. 52 (2020), 1-41.
  • Gung-Min Gie, James P. Kelliher, Milton C. Lopes Filho, Anna L. Mazzucato, Helena J. Nussenzveig Lopes, The vanishing viscosity limit for some symmetric flows, Annales de l'Institut Henri Poincar{\'e} C, Analyse non lin{\'e}aire (2019).
  • Antoine Remond-tiedrez, Ian Tice, The Viscous Surface Wave Problem with Generalized Surface Energies, SIAM J. Math. Anal. 51 (2019), 4894-4952.
  • P. M. Lushnikov, N. Vladimirova, Toward Defeating Diffraction and Randomness for Laser Beam Propagation in Turbulent Atmosphere, JETP Letters 108 (2018) no. 9, 571–576.
  • André Nachbin, Paul Milewski, John Bush, Tunneling with a hydrodynamic pilot-wave model, Physical Review Fluids 2 (2017), 034801.
  • David Andrade Perez, André Nachbin, Two-Dimensional Surface Wave Propagation over Arbitrary Ridge-Like Topographies, SIAM Journal on Applied Mathematics 78 (2018), 2465-2490.
  • Seung Wook So, Walter A. Strauss, Upper bound on the slope of steady water waves with small adverse vorticity, Journal of Differential Equations 264 (2018) no. 6, 4136-4151.
  • Peter Constantin, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Vlad Vicol, Vorticity Measures and the Inviscid Limit, Archive for Rational Mechanics and Analysis 234 (2019) no. 2, 575–593.
  • André Nachbin, Walking droplets correlated at a distance, Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (2018) no. 9, 096110.
  • Yue Pu, Robert L. Pego, Denys Dutykh, Didier Clamond, Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations, Communications in Mathematical Sciences 16 (2018) no. 5, 1361–1378.
  • Olga Trichtchenko, Paul A. Milewski, Emilian I. Părău, Jean-Marc Vanden-Broeck, Stability of Periodic Travelling Flexural-Gravity Waves in Two Dimensions, arXiv 1801.09748 (2018).
  • Qing Li, Baylor Fox-Kemper, Assessing the Effects of Langmuir Turbulence on the Entrainment Buoyancy Flux in the Ocean Surface Boundary Layer, Journal of Physical Oceanography 47 (2017), .
  • Ian Tice, Asymptotic stability of shear-flow solutions to incompressible viscous free boundary problems with and without surface tension, Zeitschrift für angewandte Mathematik und Physik 69 (2018) no. 2.
  • Gung-Min Gie, James Kelliher, A. Mazzucato, Boundary Layers for the Navier–Stokes Equations Linearized Around a Stationary Euler Flow, Journal of Mathematical Fluid Mechanics 20 (2018), 1-22.
  • André Nachbin, Roberto Ribeiro, Capturing the flow beneath water waves, Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences 376 (2018), 20170098.
  • Saad Qadeer, Jon Wilkening, Computing the Dirichlet-Neumann Operator on a Cylinder, SIAM J. Numer. Anal. 57 (2019), 1183-1204.
  • David M. Ambrose, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Confinement of vorticity for the 2D Euler-$\alpha$ equations, Journal of Differential Equations (2018).
  • Animikh Biswas, Ciprian Foias, Cecilia F. Mondaini, Edriss S. Titi, Downscaling data assimilation algorithm with applications to statistical solutions of the Navier–Stokes equations, Annales de l'Institut Henri Poincar{\'e} C, Analyse non lin{\'e}aire (2019).
  • Ian Tice, Lei Wu, Dynamics and Stability of Surface Waves with Bulk-Soluble Surfactants, Acta Applicandae Mathematicae 161 (2017), 35-70.
  • A. I. Dyachenko, S. A. Dyachenko, P. M. Lushnikov, V. E. Zakharov, Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion, Journal of Fluid Mechanics 874 (2019), 891–925.
  • Alexey Cheskidov, Milton Lopes Filho, Helena Nussenzveig Lopes, Roman Shvydkoy, Energy Conservation in Two-dimensional Incompressible Ideal Fluids, Communications in Mathematical Physics 348 (2016), .
  • Pavel M. Lushnikov, Nikolay M. Zubarev, Exact Solutions for Nonlinear Development of a Kelvin-Helmholtz Instability for the Counterflow of Superfluid and Normal Components of Helium II, Physical Review Letters 120 (2018) no. 20.
  • Robin Ming Chen, Samuel Walsh, Miles H. Wheeler, Existence and qualitative theory for stratified solitary water waves, Annales de l’Institut Henri Poincaré C, Analyse non linéaire 35 (2018) no. 2, 517–576.
  • Julien Guillod, Peter Wittwer, Existence and uniqueness of steady weak solutions to the Navier–Stokes equations in ℝ², Proceedings of the American Mathematical Society 146 (2018) no. 10, 4429–4445.
  • Juhi Jang, Walter Strauss, Yilun Wu, Existence of rotating magnetic stars, Physica D: Nonlinear Phenomena 397 (2019), 65-74.
  • Robin Ming Chen, Samuel Walsh, Miles H. Wheeler, Existence, Nonexistence, and Asymptotics of Deep Water Solitary Waves with Localized Vorticity, Archive for Rational Mechanics and Analysis 234 (2019) no. 2, 595–633.
  • Alexei A. Mailybaev, Andr{\'e} Nachbin, Explosive ripple instability due to incipient wave breaking, Journal of Fluid Mechanics 863 (2019), 876 - 892.
  • Roberto Ribeiro, Paul Milewski, André Nachbin, Flow structure beneath rotational water waves with stagnation points, Journal of Fluid Mechanics 812 (2017), 792-814.
  • Bernard Deconinck, Qi Guo, Eli Shlizerman, Vishal Vasan, Fokas’s Unified Transform Method for linear systems, Quarterly of Applied Mathematics 76 (2017), 1.
  • David M. Ambrose, Anna L. Mazzucato, Global Existence and Analyticity for the 2D Kuramoto–Sivashinsky Equation, Journal of Dynamics and Differential Equations 31 (2017), 1525-1547.
  • Emmanuel Grenier, Toan T. Nguyen, Green Function of Orr-Sommerfeld Equations Away from Critical Layers, SIAM J. Math. Anal. 51 (2019), 1279-1296.
  • Denis A. Silantyev, Pavel M. Lushnikov, Harvey A. Rose, Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations, Physics of Plasmas 24 (2017) no. 4, 042104.
  • Denis A. Silantyev, Pavel M. Lushnikov, Harvey A. Rose, Langmuir wave filamentation in the kinetic regime. II. Weak and strong pumping of nonlinear electron plasma waves as the route to filamentation, Physics of Plasmas 24 (2017) no. 4, 042105.
  • Logan G. Wright, Zachary M. Ziegler, Pavel M. Lushnikov, Zimu Zhu, M. Amin Eftekhar, Demetrios N. Christodoulides, Frank W. Wise, Multimode Nonlinear Fiber Optics: Massively Parallel Numerical Solver, Tutorial, and Outlook, IEEE Journal of Selected Topics in Quantum Electronics 24 (2018) no. 3, 1–16.
  • Pavel M. Lushnikov, Sergey A. Dyachenko, Denis A. Silantyev, New conformal mapping for adaptive resolving of the complex singularities of Stokes wave, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 (2017) no. 2202, 20170198.
  • A. I. Dyachenko, P. M. Lushnikov, V. E. Zakharov, Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface, Journal of Fluid Mechanics 869 (2019), 526–552.
  • Ruben Tomlin, Anna Kalogirou, Demetrios Papageorgiou, Nonlinear dynamics of a dispersive anisotropic Kuramoto--Sivashinsky equation in two space dimensions, Proceedings of The Royal Society A 474 (2018), .
  • Prasun Ray, Jordan Hauge, Demetrios Papageorgiou, Nonlinear interfacial instability in two-fluid viscoelastic Couette flow, Journal of Non-Newtonian Fluid Mechanics 251 (2017), .
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