Stability of strong solutions to the full compressible magnetohydrodynamic system with non-conservative boundary conditions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910658226814976 |
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| author | Mizerová, Hana |
| author_facet | Mizerová, Hana |
| contents | We define a dissipative measure-valued (DMV) solution to the system of equations governing the motion of a general compressible, viscous, electrically and heat conducting fluid driven by non-conservative boundary conditions. We show the stability of strong solutions to the full compressible magnetohydrodynamic system in a large class of these DMV solutions. In other words, we prove a DMV-strong uniqueness principle: a DMV solution coincides with the strong solution emanating from the same initial data as long as the latter exists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16001 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of strong solutions to the full compressible magnetohydrodynamic system with non-conservative boundary conditions Mizerová, Hana Analysis of PDEs We define a dissipative measure-valued (DMV) solution to the system of equations governing the motion of a general compressible, viscous, electrically and heat conducting fluid driven by non-conservative boundary conditions. We show the stability of strong solutions to the full compressible magnetohydrodynamic system in a large class of these DMV solutions. In other words, we prove a DMV-strong uniqueness principle: a DMV solution coincides with the strong solution emanating from the same initial data as long as the latter exists. |
| title | Stability of strong solutions to the full compressible magnetohydrodynamic system with non-conservative boundary conditions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.16001 |