Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping

Abstract

Recently, Li–Fu–Wang (Li et al., 2022) established the optimal temporal decay rates of solutions near the equilibrium state to the 3D compressible magnetohydrodynamic system with nonlinear damping αuβ−1u for β⩾3. In this paper, we further extend Li–Fu–Wang’s result to the case β>1 by finer energy estimates.