Mathematical and numerical analysis of a MagnetoHydroDynamic problem in an internal resistive layer

摘要

We study the mathematical and numerical problems for the one-dimensional resistive MagnetoHydroDynamics (MHD) in an internal layer. We investigate the mathematical structure of the solutions for this problem, and give some numerical algorithms to compute the solutions and their numerical results. Using these results, we calculate numerically the growth ratio of an unstable mode as a function of a connection parameter given by an external field, and compare the value with the one given by the analytical expression.