Compressible Fluids Driven by Stochastic Forcing: The Relative Energy Inequality and Applications

Dominic Breit, Eduard Feireisl, Martina Hofmanová

Research output: Contribution to journalArticle

8 Citations (Scopus)
11 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)443–473
Number of pages31
JournalCommunications in Mathematical Physics
Volume350
Issue number2
Early online date31 Jan 2017
DOIs
Publication statusPublished - Mar 2017

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