Onsager's conjecture on the energy conservation for solutions of Euler equations in bounded domains
Analysis of PDEs
2018-07-16 v2
Abstract
The Onsager's conjecture has two parts: conservation of energy, if the exponent is larger than and the possibility of dissipative Euler solutions, if the exponent is less or equal than . The paper proves half of the conjecture, the conservation part, in bounded domains.
Keywords
Cite
@article{arxiv.1805.03833,
title = {Onsager's conjecture on the energy conservation for solutions of Euler equations in bounded domains},
author = {Quoc-Hung Nguyen and Phuoc-Tai Nguyen},
journal= {arXiv preprint arXiv:1805.03833},
year = {2018}
}
Comments
5 pages, to appear in Journal of Nonlinear Science