Energy-balance for the incompressible Euler equations with stochastic forcing
Analysis of PDEs
2020-10-30 v1 Probability
Abstract
We establish energy-balance for weak solutions of the stochastically forced incompressible Euler equations, enjoying H\"older regularity , . It is well known as the Onsager's conjecture for the deterministic incompressible Euler equations, which describes the energy conservation of weak solutions having H\"older regularity , . Additionally, we obtain energy-balance for the inhomogeneous incompressible Euler system driven by a cylindrical Wiener process.
Keywords
Cite
@article{arxiv.2010.15569,
title = {Energy-balance for the incompressible Euler equations with stochastic forcing},
author = {Shyam Sundar Ghoshal and Animesh Jana and Barun Sarkar},
journal= {arXiv preprint arXiv:2010.15569},
year = {2020}
}