2021
DOI: 10.48550/arxiv.2108.12201
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A convergent finite volume scheme for the stochastic barotropic compressible Euler equations

Abhishek Chaudhary,
Ujjwal Koley

Abstract: In this paper, we analyze a semi-discrete finite volume scheme for the three-dimensional barotropic compressible Euler equations driven by a multiplicative Brownian noise. We derive necessary a priori estimates for numerical approximations, and show that the Young measure generated by the numerical approximations converge to a dissipative measure-valued martingale solution to the stochastic compressible Euler system. These solutions are probabilistically weak in the sense that the driving noise and associated … Show more

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