Uniqueness and energy balance for isentropic Euler equation with stochastic forcing
Analysis of PDEs
2020-10-30 v1 Probability
Abstract
In this article, we prove uniqueness and energy balance for isentropic Euler system driven by a cylindrical Wiener process. Pathwise uniqueness result is obtained for weak solutions having H\"older regularity in space and satisfying one-sided Lipschitz bound on velocity. We prove Onsager's conjecture for isentropic Euler system with stochastic forcing, that is, energy balance equation for solutions enjoying H\"older regularity . Both the results have been obtained in a more general setting by considering regularity in Besov space.
Keywords
Cite
@article{arxiv.2010.15613,
title = {Uniqueness and energy balance for isentropic Euler equation with stochastic forcing},
author = {Shyam Sundar Ghoshal and Animesh Jana and Barun Sarkar},
journal= {arXiv preprint arXiv:2010.15613},
year = {2020}
}