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Klaus Widmayer
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École polytechnique fédérale de Lausanne
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Inviscid Damping and Enhanced Dissipation in 2D Incompressible Flows
Klaus Widmayer, École polytechnique fédérale de Lausanne
Please note that this seminar will take place online via Zoom. You can connect to this seminar via the following link:
https://princeton.zoom.us/j/9148065146
Abstract: We review some recent results on the asymptotic stability of stationary solutions to the two-dimensional Euler and Navier-Stokes equations of incompressible flow. In many cases, nonlinear asymptotic stability of certain stationary solutions follows by way of decay mechanisms in the associated linearized problems -- both in the Euler equations (through so-called inviscid damping) and in the Navier-Stokes equations (via enhanced dissipation).
In contrast, we will see that the dynamics near the so-called Kolmogorov flow are more complex: in particular, while linear stability holds, nonlinear asymptotic stability is false, even for analytic perturbations.
This is joint work with Michele Coti Zelati and Tarek Elgindi.