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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: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

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
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