On physically grounded boundary conditions for the compressible MHD system
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913842164924416 |
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| author | Brezina, Jan Feireisl, Eduard |
| author_facet | Brezina, Jan Feireisl, Eduard |
| contents | We consider a general compressible MHD system, where the magnetic field propagates in a heterogeneous medium. Using suitable penalization in terms of the transport coefficients we perform several singular limits. As a result we obtain:
1. A rigorous justification of physically grounded boundary conditions for the compressible MHD system on a bounded domain.
2. Existence of weak solutions for arbitrary finite energy initial data in the situation the Maxwell induction equation holds also outside the fluid domain.
3. A suitable theoretical platform for numerical experiments on domains with geometrically complicated boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11179 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On physically grounded boundary conditions for the compressible MHD system Brezina, Jan Feireisl, Eduard Analysis of PDEs We consider a general compressible MHD system, where the magnetic field propagates in a heterogeneous medium. Using suitable penalization in terms of the transport coefficients we perform several singular limits. As a result we obtain: 1. A rigorous justification of physically grounded boundary conditions for the compressible MHD system on a bounded domain. 2. Existence of weak solutions for arbitrary finite energy initial data in the situation the Maxwell induction equation holds also outside the fluid domain. 3. A suitable theoretical platform for numerical experiments on domains with geometrically complicated boundaries. |
| title | On physically grounded boundary conditions for the compressible MHD system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.11179 |