Calculus of Variations and Geometric Measure Theory
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Dissipative Hölder solutions to the incompressible Euler equations

Sara Daneri (FAU, Erlangen)

created by magnani on 11 Feb 2013

20 feb 2013 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University

Abstract.

Abstract: We consider solutions to the Cauchy problem for the incompressible Euler equations on the 3-dimensional torus which are continuous or Hölder continuous for any exponent $\theta<\frac{1}{16}$. Using the techniques introduced by De Lellis and Szekelyhidi in 2012, 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.

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