Boundary layer expansions of the steady MHD equations in a bounded domain

Dongfen Bian; Zhenjie Si

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arXiv · 2405.09726

Boundary layer expansions of the steady MHD equations in a bounded domain

Dongfen Bian·Zhenjie Si

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Abstract

In this paper, we investigate the validity of boundary layer expansions for the MHD system in a rectangle. We describe the solution up to any order when the tangential magnetic field is much smaller or much larger than the tangential velocity field, thereby extending a previous work of S.J. Ding, Z.L. Lin and F. Xie.

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Dongfen Bian, Zhenjie Si. 2024-05-15. Boundary layer expansions of the steady MHD equations in a bounded domain. https://arxiv.org/abs/2405.09726

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