TITLE:
Regularity and Asymptotic Behavior of Solutions for 3D Incompressible MHD Equations with Damping
AUTHORS:
Yuanyuan Dan
KEYWORDS:
Global Strong Solutions, Incompressible MHD Equations, Decay, Damping
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.10,
October
10,
2025
ABSTRACT: In this paper, we mainly investigate the Cauchy problem for the 3D incompressible magnetohydrodynamic (MHD) equations with damping terms. Under a certain smallness assumption on the initial data, this paper not only establishes the global existence of strong solutions to the equations when parameters satisfy
1≤α,β<3
, but also obtains the decay estimates of the solutions to the MHD equations.