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arXiv · 1510.09001

Compressible fluids driven by stochastic forcing: The relative energy inequality and applications

Dominic Breit·Eduard Feireisl·Martina Hofmanova
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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.

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Dominic Breit, Eduard Feireisl, Martina Hofmanova. 2015-10-30. Compressible fluids driven by stochastic forcing: The relative energy inequality and applications. https://arxiv.org/abs/1510.09001

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