Rotational effect on the asymptotic stability of the MHD system

Abstract

In this paper, we consider the large time behavior of solutions of the incompressible rotational magnetohydrodynamics equations. First, we prove the unique existence of a global smooth solution in the Sobolev spaces Hs(R3) for 1/2<s<3/2, when the rotation is sufficiently rapid. Second, we establish the temporal decay estimates for the solution under additional assumptions. It is observed that the rotation affects the decay rate of the velocity field. © 2022 Elsevier Inc.