Stochastic compressible Euler equations and inviscid limits

Dominic Breit, Prince Romeo Mensah

Research output: Contribution to journalArticle

1 Citation (Scopus)
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Abstract

We prove the existence of a unique local strong solution to the stochastic compressible Euler system with nonlinear multiplicative noise. This solution exists up to a positive stopping time and is strong in both the PDE and probabilistic sense. Based on this existence result, we study the inviscid limit of the stochastic compressible Navier–Stokes system. As the viscosity tends to zero, any sequence of finite energy weak martingale solutions converges to the compressible Euler system. 
Original languageEnglish
Pages (from-to)218-238
Number of pages21
JournalNonlinear Analysis: Theory, Methods and Applications
Volume184
Early online date5 Mar 2019
DOIs
Publication statusPublished - Jul 2019

Keywords

  • Compressible fluids
  • Euler system
  • Inviscid limit
  • Local strong solutions
  • Navier–stokes Navier–Stokes system
  • Stochastic forcing

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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