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 (11:00 AM PDT - 12:00 PM PDT)

Speaker(s): Nader Masmoudi (New York University, Courant Institute)
Location: SLMath: Eisenbud Auditorium

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

v1192

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

	Masmoudi 1.78 MB application/pdf	Download

Video/Audio Files

v1192

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

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