Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (5): 855-866.

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Global Regularity of the 3D Axially Symmetric Incompressible MHD Equations with Anisotropic Data

Wu Jihui1,2, Wang Shu1, Lu Lei2   

  1. 1 Beijing University of Technology, Beijing 100124;
    2 Huainan Normal Unversity, Anhui Huainan 232038
  • Received:2014-07-17 Revised:2015-02-04 Online:2015-10-25 Published:2015-10-25

Abstract:

In this paper, we show that the global regularity of two kinds of particular solutions to the three-dimensional incompressible axially symmetric MHD equations:(1) uθ=0,Br=Bz=0,(2) Br=Bz=0 for a family of large anisotropic initial data.

Key words: Incompressible, Anisotropic, Axially symmetric

CLC Number: 

  • O175.29
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