Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations

Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations

Year:    2018

Author:    Hui Zhang

Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 343–352

Abstract

We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions decay to zero as time goes to infinity.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v31.n4.5

Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 343–352

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    MHD equations

Author Details

Hui Zhang

  1. Decay estimates of the 3D magneto-micropolar system with applications to L 3 -strong solutions

    Ye, Xiuping

    Lin, Xueyun

    Applicable Analysis, Vol. 103 (2024), Iss. 11 P.1903

    https://doi.org/10.1080/00036811.2023.2271533 [Citations: 0]