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Nonlinear Analysis

Rigidity and flexibility of stationary solutions of the Euler equations

Javier Gomez-Serrano - Brown University and Universitat de Barcelona

Location:  Zoom
Date & time: Wednesday, 02 February 2022 at 9:30AM - 10:30AM

Abstract: In this talk, I will discuss characterizations of stationary solutions of the 2D Euler equations in two different directions under different assumptions: rigidity (is every stationary solution radial?) and flexibility (do there exist non-radial stationary solutions?). The proofs will have a calculus of variations' flavor, a new observation that finite energy, stationary solutions with simply-connected vorticity have compactly supported velocity, and an application of the Nash-Moser iteration procedure. Based on joint work with Jaemin Park, Jia Shi and Yao Yao.

Zoom link :  
Meeting ID: 964 3090 5091   Passcode: 491508

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