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arXiv · 2108.03844

Martingale solutions for the compressible MHD systems with stochastic external forces

Huaqiao Wang
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Abstract

In this paper we consider the three-dimensional compressible MHD system with stochastic external forces in a bounded domain. We obtain the existence of martingale solution which is a weak solution for the fluid variables, the Brownian motion on a probability space. The construction of the solution is based on the Galerkin approximation method, stopping time, the compactness method and Jakubowski Skorokhod theorem, etc.

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Huaqiao Wang. 2021-08-09. Martingale solutions for the compressible MHD systems with stochastic external forces. https://arxiv.org/abs/2108.03844

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