Martingale solutions for the compressible MHD systems with stochastic external forces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2021
- DOI:
- arXiv:
- arXiv:2108.03844
- Bibcode:
- 2021arXiv210803844H
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematics - Probability