Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664778 | Acta Mathematica Scientia | 2006 | 13 Pages |
Abstract
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)