Organizing Committee
Abstract

The purpose of the topical workshop is to gather leading experts, postdoctoral scholars, and graduate students, to present exciting new developments in the field of mathematical fluid dynamics. The focus of the meeting will be placed on current research on regularity, instabilities, and the onset of turbulence in fluid flow, from a theoretical and from a computational perspective. Despite their long and fruitful history, to date these topics continue to enchant and inspire mathematicians, physicists, and computational scientists: in part due to their ubiquitous applications in areas from aeronautical engineering to medicine, and in part because the basic mathematical questions are still open. Among these are global in time existence of solutions to the equations describing motion of inviscid and viscous fluids in three spatial dimensions, and the conjectured relation between the phenomenological theories of turbulence and the statistical properties of solutions to the underlying partial differential equations of fluid dynamics. These questions have inspired generations of researchers. In particular, the conference will celebrate the work of Susan Friedlander, who has been making important contributions in the field since 1970s.

Image for "Current Developments in Mathematical Fluid Dynamics: Regularity, Instabilities, and Turbulence "
Image courtesy of Rebecca A. Ing. All future use is prohibited without the express permission of Rebecca A. Ing.

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Tuesday, January 24, 2017
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration11th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTHigher-order, unidirectional models for surface water waves - Jerry Bona, University of Illinois at Chicago11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTAsymptotic behavior of 2D incompressible ideal flow around small disks - Helena Nussenzveig Lopes, Federal University of Rio de Janeiro11th Floor Lecture Hall
11:30 - 12:15pm ESTFractional parabolic models arising in flocking dynamics and fluids. - Roman Shvydkoy, UIC11th Floor Lecture Hall
12:30 - 2:00pm ESTBreak for Lunch / Free Time  
2:00 - 2:45pm ESTRecent Progress on Euler Singularity and Related Models - Thomas Hou, Caltech11th Floor Lecture Hall
3:00 - 3:45pm ESTCritically diffusive active scalar equations and the second iterate - Walter Rusin, Oklahoma State University11th Floor Lecture Hall
3:45 - 4:15pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 5:00pm ESTThe dyadic model of the Navier-Stokes equations - Alexey Cheskidov, University of Illinois at Chicago11th Floor Lecture Hall
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Wednesday, January 25, 2017
TimeEventLocationMaterials
9:00 - 9:45am ESTDynamics of expanding gases - Juhi Jang, University of Southern California11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTSteady Prandtl Layer Expansion - Yan Guo, Brown University11th Floor Lecture Hall
11:30 - 12:15pm ESTScattering Effect of the Boltzmann Transport Equation in All Space - Dispersion vs Dissipation - Irene Gamba, University of Texas at Austin11th Floor Lecture Hall
12:30 - 12:40pm ESTGroup Photo11th Floor Lecture Hall 
12:40 - 2:15pm ESTBreak for Lunch / Free Time  
2:15 - 3:00pm ESTLoss of regularity for transport equations with rough velocities - Anna Mazzucato, Penn State University11th Floor Lecture Hall
3:15 - 4:00pm ESTSteady Water Waves of Large Amplitude with Stagnation and Eddies - Walter Strauss, Brown University11th Floor Lecture Hall
4:00 - 5:00pm ESTPoster Session and Coffee/Tea Break11th Floor Collaborative Space 
Thursday, January 26, 2017
TimeEventLocationMaterials
9:00 - 9:45am ESTRecent results on the 3D quasi-geostrophic equation - Alexis Vasseur, The University of Texas at Austin11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTEvolution Equations and Randomized Initial Data - Gigliola Staffilani, Massachusetts Institute of Technology11th Floor Lecture Hall
11:30 - 12:15pm ESTOn the Monge-Ampere equation via prestrained elasticity. - Marta Lewicka, University of Pittsburgh11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTTBD - Edriss Titi, Texas A&M University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTStochastic Models for Turbulent Convection - Nathan Glatt-Holtz, Tulane University11th Floor Lecture Hall
5:00 - 6:00pm ESTParticle Laden Flow from Theory to Experiment - Andrea Bertozzi, UCLA11th Floor Lecture Hall
6:30 - 9:00pm ESTConference BanquetHemenway's Restaurant 
Friday, January 27, 2017
TimeEventLocationMaterials
9:00 - 9:45am ESTOptimal wall-to-wall transport by incompressible flows - Charles Doering, University of Michigan11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTTBD - Philip Isett, MIT11th Floor Lecture Hall 
11:30 - 12:15pm ESTNewton, Euler, Navier and Green - Susan Friedlander, University of Southern California11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 

Lecture Videos

Newton, Euler, Navier and Green

Susan Friedlander
University of Southern California
January 27, 2017