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Regularity Criteria of the Solutions to Axisymmetric Magnetohydrodynamic System
  
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KeyWord:Axisymmetric solutions  Regularity criterion  Incompressible magnetohydrodynamics
Author NameAffiliation
Xuemeng Liu Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
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Abstract:
      In this paper, we consider Cauchy problem of the axially symmetric Magnetohydrodynamic (MHD) system. By using energy method, we establish some regularity criteria of the solutions for the axisymmetric solutions of the three dimensional incompressible MHD system.