Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations

We survey some recent results related to free boundary problems of incompressible ideal magnetohydrodynamics equations, and present the main ideas in the proofs of the ill-posedness in 2D when the Taylor sign condition is violated given [1], and the well-posedness of a linearized problem given in [2...

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Bibliographic Details
Main Authors: Chengchun Hao, Tao Luo
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022021?viewType=HTML