Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908398553923584 |
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| author | Bhandari, Kuntal Huang, Bingkang Nečasová, Šárka |
| author_facet | Bhandari, Kuntal Huang, Bingkang Nečasová, Šárka |
| contents | This paper is concerned with an interaction problem between a full compressible, electrically conducting fluid and a thermoelastic shell in a two-dimensional setting. The shell is modelled by linear thermoelasticity equations, and encompasses a time-dependent domain which is filled with a fluid described by full compressible (non-resistive) magnetohydrodynamic equations. The magnetohydrodynamic flow and the shell are fully coupled, resulting in a fluid-structure interaction problem that involves heat exchange. We establish the existence of weak solutions through domain extension, operator splitting, decoupling, penalization of the interface condition, and appropriate limit passages. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure Bhandari, Kuntal Huang, Bingkang Nečasová, Šárka Analysis of PDEs This paper is concerned with an interaction problem between a full compressible, electrically conducting fluid and a thermoelastic shell in a two-dimensional setting. The shell is modelled by linear thermoelasticity equations, and encompasses a time-dependent domain which is filled with a fluid described by full compressible (non-resistive) magnetohydrodynamic equations. The magnetohydrodynamic flow and the shell are fully coupled, resulting in a fluid-structure interaction problem that involves heat exchange. We establish the existence of weak solutions through domain extension, operator splitting, decoupling, penalization of the interface condition, and appropriate limit passages. |
| title | Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.23539 |