Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
We consider viscous free-boundary magnetohydrodynamics (MHD) under vacuum in $\mathbb{R}^3$, especially when the vacuum magnetic field is identically zero. It is a central problem in mathematics to perform the vanishing viscosity limit to get a solution of a hyperbolic inviscid system. However, boundary layer behavior happens near the free boundary, …