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arXiv · 1810.07465

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

Chengchun Hao·Tao Luo
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Abstract

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 for any positive vacuum permeability $\mu_0$, in Sobolev spaces. The analysis is uniform for any $\mu_0>0$.

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Chengchun Hao, Tao Luo. 2018-10-17. Ill-posedness of free boundary problem of the incompressible ideal MHD. https://doi.org/10.1007/s00220-019-03614-1

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