Organizing Committee
Abstract

Most of the scientific interest in incompressible fluid dynamics is, in one way or another, associated with the dynamics of small scales. In particular, the generation and amplification of small-scale motions is at the heart of the analysis of instabilities, of the problem of finite-time singularities, of fluid-structure interaction and of the study of both onset and fully developed turbulence. This topic has a long history and remains very active today. As the mathematical toolbox increases and with the improvement of high-speed computing, it has seen considerable progress in recent years. In this workshop we will focus on exploring this point-of-view while showcasing recent results and encouraging new collaborations.

Surface quasi-geostrophic turbulence, from I. M. Held, R. T. Pierrehumbert, S. T. Garner, and K. L. Swanson, “Surface quasi-geostrophic dynamics,” J. Fluid Mech., 282 (1995), pp. 1-20.

Confirmed Speakers & Participants

Workshop Schedule

Monday, February 13, 2017
TimeEventLocationMaterials
8:30 - 8:55Registration121 South Main Street, Providence, RI, United States 11th Floor  
8:55 - 9:00Welcome - Brendan Hassett, ICERM Director11th Floor Lecture Hall 
9:00 - 9:45The vanishing viscosity limit in porous media - Anna Mazzucato, Pennsylvania State University11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Analysis of Boundary Layers- the Good, the Bad, and the Ugly - Toan Nguyen, Pennsylvania State University11th Floor Lecture Hall
11:30 - 12:15Multiscale Coherent States in canonical shear flows and Rayleigh-Bénard convection - Fabian Waleffe, University of Wisconsin-Madison11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Of Kato and Prandtl - Jim Kelliher, University of California Riverside11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Stability of the Couette flow in dimension 3 - Pierre Germain, NYU11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, February 14, 2017
TimeEventLocationMaterials
9:00 - 9:45Enhanced damping and instability index theorem for 2D Euler equation - Zhiwu Lin, Georgia Institute of Technology11th FLoor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Uniformly rotating smooth solutions for active scalars - Javier Gomez Serrano, Princeton University11th Floor Lecture Hall
11:30 - 12:15Mixing and un-mixing by incompressible flows - Yao Yao, Georgia Tech11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Growth and singularity in 2D fluids - Andrej Zlatos, University of California, San Diego11th Floor Lecture Hall
3:30 - 5:00Poster Session / Coffee Tea Break11th Floor Collaborative Space 
Wednesday, February 15, 2017
TimeEventLocationMaterials
9:00 - 9:45Self-similar vortex spirals - Volker Elling, University of Michigan11th FLoor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Separation for the stationary Prandtl equation - Anne-Laure Dalibard, Pierre-and-Marie-Curie University11th Floor Lecture Hall
11:30 - 12:15Steady water waves with localized vorticity - Chongchun Zeng, Georgia Institute of Technology11th Floor Lecture Hall
12:30 - 12:40Group Photo11th Floor Lecture Hall 
12:40 - 2:30Break for Lunch / Free Time  
2:30 - 3:15On the Muskat problem - Robert Strain, University of Pennsylvania11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Singularity Formation in Fluid Models - Tarek Elgindi, Princeton University11th Floor Lecture Hall
Thursday, February 16, 2017
TimeEventLocationMaterials
9:00 - 9:45Derivation 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 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15On the range of scales in the route to turbulence - Dwight Barkley, University of Warwick11th Floor Lecture Hall
11:30 - 12:15Global well-posedness of the primitive equations of oceanic and atmospheric dynamics - Jinkai Li, The Chinese University of Hong Kong11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Microdroplet instablity for a least-action principle for incompressible droplets - Jian-Guo Liu, Duke University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Vanishing viscosity limit for incompressible flows with symmetry. - Milton Lopes Filho, Instituto de Matemática - UFRJ11th Floor Lecture Hall
Friday, February 17, 2017
TimeEventLocationMaterials
9:00 - 9:45Onsager conjecture and beyond - Tristan Buckmaster, Courant Institute of Mathematical Sciences at NYU11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15On the Navier–Stokes equations beyond perturbative regimes - Julien Guillod, Princeton University11th Floor Lecture Hall
11:30 - 12:15On the self-similar blow-up scenario for the Euler equations - Anne Bronzi, UNICAMP11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Recent advances in boundary layer at vanishing viscosity limit. - Claude Bardos, Laboratoire Jacques Louis Lions Denis Diderot University Branch11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 

Associated Semester Workshops

Singularities and Waves In Incompressible Fluids
Computational Aspects of Water Waves
Water Waves

Lecture Videos

Recent advances in boundary layer at vanishing viscosity limit

Claude Bardos
Laboratoire Jacques Louis Lions Denis Diderot University Branch
February 17, 2017

Onsager conjecture and beyond

Tristan Buckmaster
Courant Institute of Mathematical Sciences at NYU
February 17, 2017

Vanishing viscosity limit for incompressible flows with symmetry

Milton Lopes Filho
Instituto de Matemática - UFRJ
February 16, 2017

On the Muskat problem

Robert Strain
University of Pennsylvania
February 15, 2017

Steady water waves with localized vorticity

Chongchun Zeng
Georgia Institute of Technology
February 15, 2017

Separation for the stationary Prandtl equation

Anne-Laure Dalibard
Pierre-and-Marie-Curie University
February 15, 2017

Growth and singularity in 2D fluids

Andrej Zlatos
University of California, San Diego
February 14, 2017

Uniformly rotating smooth solutions for active scalars

Javier Gomez Serrano
Princeton University
February 14, 2017