Uniqueness and energy balance for isentropic Euler equation with stochastic forcing

Authors

Shyam Sundar Ghoshal, Tata Institute of Fundamental Research, Mumbai
Animesh Jana, Tata Institute of Fundamental Research, Mumbai
Barun Sarkar, Tata Institute of Fundamental Research, Mumbai

Article Type

Research Article

Publication Title

Nonlinear Analysis: Real World Applications

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 Hölder regularity Cα,α>1∕2 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 Hölder regularity Cα,α>1∕3. Both the results have been obtained in a more general setting by considering regularity in Besov space.

DOI

10.1016/j.nonrwa.2021.103328

Publication Date

10-1-2021

Comments

Open Access, Green

Recommended Citation

Ghoshal, Shyam Sundar; Jana, Animesh; and Sarkar, Barun, "Uniqueness and energy balance for isentropic Euler equation with stochastic forcing" (2021). Journal Articles. 1781.
https://digitalcommons.isical.ac.in/journal-articles/1781