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arXiv:1810.07465 [math.AP]AbstractReferencesReviewsResources

Ill-posedness of free boundary problem of the incompressible ideal MHD

Chengchun Hao, Tao Luo

Published 2018-10-17Version 1

In the present paper, we show the ill-posedness of the free boundary problem of the incompressible ideal magnetohydrodynamics (MHD) equations in two spatial dimensions with suitable large vacuum permeability $\mu_0$, in Sobolev spaces. The analysis is uniform for large $\mu_0$.

Comments: 25 pages
Categories: math.AP
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