Special Session 7: 

Well-posedness of the plasma-vacuum interface problem for ideal incompressible MHD

Yongzhong Sun
Nanjing University
Peoples Rep of China
Co-Author(s):    Wei Wang, Zhifei Zhang
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.