Dissipative Euler Flows and Onsager's Conjecture
Analysis of PDEs
2012-05-17 v1
Abstract
For any \theta<1/10 we construct periodic weak solutions of the incompressible Euler equations which dissipate the total kinetic energy and are H\"older-continuous with exponent \theta. A famous conjecture of Onsager states the existence of such dissipative solutions with any H\"older exponent \theta<1/3. Our theorem is the first result in this direction.
Cite
@article{arxiv.1205.3626,
title = {Dissipative Euler Flows and Onsager's Conjecture},
author = {Camillo De Lellis and László Székelyhidi},
journal= {arXiv preprint arXiv:1205.3626},
year = {2012}
}
Comments
40 pages