Published Paper
Inserted: 4 dec 2020
Journal: Comm. Math. Phys.
Year: 2014
Abstract:
We consider solutions to the Cauchy problem for the incompressible Euler equations on the 3-dimensional torus which are continuous or H\"older continuous for any exponent $\theta<1/16$. Using the convex integration techniques introduced in \cite{De Lellis-Szekelyhidi 2012}, we prove the existence of infinitely many (Hölder) continuous initial vector fields starting from which there exist infinitely many (H\"older) continuous solutions with preassigned total kinetic energy