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

Dongfen Bian; Zhenjie Si

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

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arxiv 2405.09726 v4 pith:UQA3VGVN submitted 2024-05-15 math.AP

Dongfen Bian , Zhenjie Si This is my paper · ORCID

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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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Prandtl--Batchelor and flux-expulsion selection for steady MHD flows in a disk
math.AP 2026-08 accept novelty 8.0 of 10

The authors construct steady MHD disk flows whose inviscid interior is a rigidly rotating core, with the two rotation rates fixed by an explicit MHD-Wood law.

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