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Dissipative Hölder solutions to the incompressible Euler equations

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If you have a question about this talk, please contact Prof. Clément Mouhot.

We consider solutions to the Cauchy problem for the incompressible Euler equations on the 3-dimensional torus which are Hölder continuous for any exponent smaller than 1/16. Using techniques introduced by De Lellis and Szekelyhidi, we prove the existence of infinitely many Hölder continuous initial vector fields starting from which there exist infinitely many Hölder continuous solutions with preassigned total kinetic energy.

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

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