Acta mathematica scientia, Series B >
MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS
Received date: 2004-12-30
Revised date: 2005-05-08
Online published: 2006-10-20
The two-dimensional magneto-hydrodynamic (MHD) equations are considered in this article. Viscous approximations are used to obtain the local existence and uniqueness of the classical solution. When the viscous term vanishes, the convergence rates, a main problem in turbulence, are also discussed. Moreover, a blow-up criterion for our classical solution is established in terms of the magnetic fields.
Key words： MHD equations; classical solution; convergence rate; blow-up criterion
Jiu Quansen , Niu Dongjuan . MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS[J]. Acta mathematica scientia, Series B, 2006 , 26(4) : 744 -756 . DOI: 10.1016/S0252-9602(06)60101-X
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