Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem
Abstract We consider the two-dimensional plasma-vacuum interface problem in ideal compressible magnetohydrodynamics (MHD). This is a hyperbolic-elliptic coupled system with a characteristic free boundary. In the plasma region the 2D planar flow is governed by the hyperbolic equations of ideal compressible MHD, while in the vacuum region the magnetic field …