Stochastic compressible Euler equations and inviscid limits
Analysis of PDEs
2019-01-31 v2 Probability
Fluid Dynamics
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.
Cite
@article{arxiv.1802.07186,
title = {Stochastic compressible Euler equations and inviscid limits},
author = {Dominic Breit and Prince Romeo Mensah},
journal= {arXiv preprint arXiv:1802.07186},
year = {2019}
}
Comments
26 pages