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arXiv · 1802.07186

Stochastic compressible Euler equations and inviscid limits

Dominic Breit·Prince Romeo Mensah
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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.

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Dominic Breit, Prince Romeo Mensah. 2018-02-20. Stochastic compressible Euler equations and inviscid limits. https://arxiv.org/abs/1802.07186

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