Incompressible limit for compressible fluids with stochastic forcing

Dominic Breit, Eduard Feireisl, Martina Hofmanová

Research output: Contribution to journalArticle

13 Citations (Scopus)
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Abstract

We study the asymptotic behavior of the isentropic Navier-Stokes system driven by a multiplicative stochastic forcing in the compressible regime, where the Mach number approaches zero. Our approach is based on the recently developed concept of weak martingale solution to the primitive system, uniform bounds derived from a stochastic analogue of the modulated energy inequality, and careful analysis of acoustic waves. A stochastic incompressible Navier-Stokes system is identified as the limit problem.
Original languageEnglish
Pages (from-to)895–926
Number of pages32
JournalArchive for Rational Mechanics and Analysis
Volume222
Issue number2
Early online date27 May 2016
DOIs
Publication statusPublished - Nov 2016

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