Seminar Analysis and Mathematical Physics: Luigi De Rosa (EPF Lausanne)

Sharp energy regularity and typical wild solutions of the incompressible Euler equations

I will describe how convex integration techniques can be used to show that wilddissipative solutions of the incompressible Euler equations are typical in the Baire category sense. This also partially solves a conjecture by Philip Isett on the sharpness of the kinetic energy regularity for Hölder continuous solutions of the Euler equations. The talk will be based on a recent work obtained in collaboration with Riccardo Tione.

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