Abstract: |
We show the local well-posedness of plasma-vacuum interface problem for \emph{ideal incompressible} magnetohydrodynamics under the stability condition that the magnetic field $\mathbf{h}$ and the vacuum magnetic field $\hat{\mathbf{h}}$ are non-collinear on the free interface(i.e., $|\mathbf{h}\times \hat{\mathbf{h}}|>0$). Such a stability condition was first proposed by Y. Trakhinin for the \emph{compressible} plasma-vacuum interface problem. |
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