Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Water Waves and Related Fluid Models

Monday, September 28

9:00-9:30           Registration
9:30-10:30        Diego Cordoba, Active scalars: IPM and SQG
10:30-11:00     Coffee
11:00-12:00     Javier Gomez-Serrano, Splash singularities for the incompressible free boundary Navier-Stokes
12:00-13:30     Lunch
13:30-14:30     Peter Constantin, Nonlinear bounds for the fractional Laplacian with Dirichlet boundary conditions, and electroconvection
14:30-15:00     Coffee
15:00-16:00     Daniel CoutandCan a solid body hit the bottom of an inviscid lake?
16:30-17:30     Chongchun Zeng, Wind-driven water waves and unstable manifolds of the Euler equation

Tuesday, September 29

9:30-10:30       Fabio PusateriOn the global regularity of water waves
10:30-11:00    Coffee
11:00-12:00    Benoit PausaderDecay for 3D gravity-capillary water waves
12:00-13:30    Lunch
13:30-14:30    Alex IonescuOn global solutions of water wave models
14:30-15:00    Coffee
15:00-16:00    Steve ShkollerRegularity of the velocity field for Euler vortex patch evolution
16:30-17:30    Nader Masmoudi, Mixing and enhanced dissipation in the inviscid limit of the Navier-Stokes equations near the 2D and 3D                                                Couette flows

Wednesday, 30 September - Clay Research Conference

10:00-11:00     Mike Hopkins, Algebraic and motivic vector bundles
11:00-11:30     Coffee
11:30-12:30     Peter Scholze, Cohomology of algebraic varieties
12:30-13:30     Charles Fefferman, Formation of singularities in fluid interfaces
13:30-14:30     Lunch
14:30-15:30     Andrei Okounkov, Enumerative geometry and representation theory
15:30-16:00     Coffee
16:00-17:00     Maryam MirzakhaniCounting mapping class group orbits on hyperbolic surfaces
17:00-18:00     Presentation of the 2014 Clay Research Award
                                  Presentation of the 2015 Clay Research Award
18:00-19:00     Reception in the Mathematical Institute

Thursday, October 1

9:30-10:30       Jalal Shatah, The large box limit of nonlinear Schrödinger equations in weakly nonlinear regime
10:30-11:00     Coffee
11:00-12:00     Victor Lie, Formation of singularities and long term regularity for certain fluid models
12:00-13:30     Lunch
13:30-14:30     Alex Kiselev, Regularity and blow up in models of fluid mechanics
14:30-15:00     Coffee
15:00-16:00     Thomas Alazard, Control of water waves
17:00-18:00     Étienne Ghys, public lecture Dancing Vortices
18:00                     Presentation of the Clay Award for Dissemination of Mathematical Knowledge

Friday, October 2

9:30-10:30        Gregory SereginOn possible blow up of L3-norm for Navier-Stokes system in half space
10:30-11:00     Coffee
11:00-12:00     David Lannes, Preventing Kelvin-Helmholtz singularities for two fluid interfaces
12:00-13:30     Lunch