Martingale solutions for the compressible MHD systems with stochastic external forces
Analysis of PDEs
2024-09-19 v1 Probability
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.
Cite
@article{arxiv.2108.03844,
title = {Martingale solutions for the compressible MHD systems with stochastic external forces},
author = {Huaqiao Wang},
journal= {arXiv preprint arXiv:2108.03844},
year = {2024}
}