Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure
Analysis of PDEs
2025-06-10 v2
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.
Cite
@article{arxiv.2505.23539,
title = {Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure},
author = {Kuntal Bhandari and Bingkang Huang and Šárka Nečasová},
journal= {arXiv preprint arXiv:2505.23539},
year = {2025}
}