Well-posedness of the plasma–vacuum interface problem
Well-posedness of the plasma–vacuum interface problem
We consider the free-boundary problem for the plasma–vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compressible MHD equations, while in the vacuum region we consider the pre-Maxwell dynamics for the magnetic field. At the free interface, driven by the plasma …