Cauchy problem for dissipative H\"older solutions to the incompressible Euler equations
Analysis of PDEs
2013-02-06 v1
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 . Using the techniques introduced in \cite{DS12} and \cite{DS12H}, we prove the existence of infinitely many (H\"older) continuous initial vector fields starting from which there exist infinitely many (H\"older) continuous solutions with preassigned total kinetic energy.
Cite
@article{arxiv.1302.0988,
title = {Cauchy problem for dissipative H\"older solutions to the incompressible Euler equations},
author = {Sara Daneri},
journal= {arXiv preprint arXiv:1302.0988},
year = {2013}
}