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Learning Seminar on PDE and Applications

Rigidity in stationary Euler equation with free boundary

Yannick Sire, Johns Hopkins University

Location:  Zoom
Date & time: Tuesday, 01 December 2020 at 1:40PM - 3:40PM

Abstract: We investigate a free boundary version of the results of Hamel and Nadirashvili on Liouville theorems for stationary Euler equations in 2 dimensions. I will first introduce stationary Euler with free boundary. Then, I will explain how to reduce the equations to an overdetermined semi-linear problem, for which a Serrin's  type result can be shown.