Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows

Abstract EN

We consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas.

We derive a rigorous quasi-geostrophic equation governed by magnetic field from the stratified flows of the rotational compressible magnetohydrodynamic flows with the well-prepared initial data and the tool of proof is based on the relative entropy.

Furthermore, the convergence rates are obtained.