PIMS Lecture: Nader Masmoudi

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 sense, 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 system.  Joint work with Jacob Bedrossian.