Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Nonlinear inviscid damping in 2D Euler

Nonlinear inviscid damping in 2D Euler

Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation October 14, 2013 - October 18, 2013

October 18, 2013 (11:00AM PDT - 12:00PM PDT)
Speaker(s): Nader Masmoudi (New York University, Courant Institute)
Location: MSRI: Simons Auditorium
Video

Abstract We prove the global asymptotic stability of shear flows close to planar Couette flow in the 2D incompressible Euler equations. Specifically, given an initial perturbation of the Couette flow which is small in a suitable regularity class we show that the velocity converges strongly in L2 to another shear flow which is not far from Couette. This strong convergence is usually referred to as "inviscid damping" and is roughly analogous to Landau damping in the Vlasov Poisson equations. This is a joint work with Jacob Bedrossioan
Supplements
19317?type=thumb Masmoudi 1.78 MB application/pdf Download
Video/Audio Files

v1192

H.264 Video v1192.m4v 321 MB video/mp4 rtsp://videos.msri.org/data/000/018/649/original/v1192.m4v Download
Quicktime v1192.mov 451 MB video/quicktime rtsp://videos.msri.org/data/000/018/650/original/v1192.mov Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.