Article citationsMore>>

He, C. and Xin, Z. (2005) On the Regularity of Weak Solutions to the Magnetohydrodynamic Equations. Journal of Differential Equations, 213, 235-254.
https://doi.org/10.1016/j.jde.2004.07.002

has been cited by the following article:

• 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.