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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2108.03844 |
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| _version_ | 1866913504750993408 |
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| author | Wang, Huaqiao |
| author_facet | Wang, Huaqiao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_03844 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Martingale solutions for the compressible MHD systems with stochastic external forces Wang, Huaqiao Analysis of PDEs Probability 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. |
| title | Martingale solutions for the compressible MHD systems with stochastic external forces |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2108.03844 |