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On weak solutions to the stationary incompressible Euler equations

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We consider weak stationary solutions to the incompressible Euler equations and show that the analogue of the h-principle obtained by De Lellis and Szekelyhidi for time-dependent weak solutions continues to hold. The key difference arises in dimension d = 2, where it turns out that the relaxation is strictly smaller than what one obtains in the time-dependent case. This is joint work with Laszlo Szekelyhidi Jr.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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