Compressible fluids driven by stochastic forcing: The relative energy inequality and applications
Analysis of PDEs
2015-11-02 v1
Abstract
We show the relative energy inequality for the compressible Navier-Stokes system driven by a stochastic forcing. As a corollary, we prove the weak-strong uniqueness property (pathwise and in law) and convergence of weak solutions in the inviscid-incompressible limit. In particular, we establish a Yamada-Watanabe type result in the context of the compressible Navier-Stokes system, that is, pathwise weak--strong uniqueness implies weak--strong uniqueness in law.
Keywords
Cite
@article{arxiv.1510.09001,
title = {Compressible fluids driven by stochastic forcing: The relative energy inequality and applications},
author = {Dominic Breit and Eduard Feireisl and Martina Hofmanova},
journal= {arXiv preprint arXiv:1510.09001},
year = {2015}
}