MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS

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• 作者：Quansen Jiu ; Dongjuan Niu
• 关键词：MHD equations ; classical solution ; convergence rate ; blow-up criterion
• 刊名：Acta Mathematica Scientia
• 出版年：2006
• 出版时间：October 2006
• 年：2006
• 卷：26
• 期：4
• 页码：744-756
• 全文大小：563 K

文摘

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.