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Miao, C., Yuan, B. and Zhang, B. (2008) Well-Posedness of the Cauchy Problem for the Fractional Power Dissipative Equations. Nonlinear Analysis: Theory, Methods & Applications, 68, 461-484.
https://doi.org/10.1016/j.na.2006.11.011

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.