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arXiv · 2505.23539

Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure

Kuntal Bhandari·Bingkang Huang·Šárka Nečasová
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Abstract

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.

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Kuntal Bhandari, Bingkang Huang, Šárka Nečasová. 2025-05-29. Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure. https://arxiv.org/abs/2505.23539

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