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通过多孔介质的二维磁流体力学方程组的全局正则性

Global Regularity for the Weak Solutions of Weak Solution of MHD Flow of a Viscous Fluid Through a Porous Medium
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摘要 本文的目的是研究以不断吹/吸方式通过孔道流体的二维磁流体动力学方程(MHD)弱解的全局正则性.为此,我们将利用抛物正则化过程和在流动模型中流体的的Darcy定律. This paper is focused on classical solutions and regularity of weak solutions on 2D magnetohydrodynamic (MHD) flow with constant suction passing through the porous channel. For this purpose, we apply the parabolic regularization process and Modified Darcy's law for fluid in flow modeling.
出处 《应用数学学报》 CSCD 北大核心 2015年第1期8-15,共8页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(批准号:11271299) 数学天元基金(批准号:11126027) 陕西省自然科学基金(2012JM1014)资助项目
关键词 弱解 多孔介质 二维磁流体力学方程组 不可压缩 粘弹性流体 classical solution and regularity of weak solution porous medium 2D MHD equations incompressible and viscoelastic fluid
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参考文献11

  • 1Caflisch R, Klapper I, Steele G. Remarks on singularities dimension and energy dissipation for ideal hydrodynamics and MHD. Comm. Math. Phys” 1997, 184: 443-455.
  • 2Cao C, Wu J. Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Adv. Math., 2011, 226: 1803-1822.
  • 3Chae D. Global regularity for the 2D MHD Boussinesq equations with partial viscosity terms. Adv. Math., 2006, 203: 497-513.
  • 4Duvaut G, Lions J L. Inequations en themoelasticite et magnetohydrodynamique. Arch. Ratio.Mech. Anal, 1972, 46: 241-279.
  • 5He C, Xin Z. Global On the Regularity of Weak Solution to the Magnetohydrodynamic Equations. J. Diff. Eqs.,2005,2: 225-254.
  • 6Hmidi T, Keraani S, Rousset F. Global well-posedness for a Euler-Boussinesq system with critical dissipation. arXiv:0903.3747vl [math.AP], 22,March 2009.
  • 7Hmidi T, Keraani S, Rousset F. Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Global well-posedness for a Boussinesq-Navier-Stokes system with ctitical dissipation. arXiv:0903.3747vl [math.AP], 9 April 2009.
  • 8Hou T, Li C. Global well-posedness of the viscous Boussinesq equations. Discrete Contin. Discrete Contin. Dyn. Syst., 2005, 12: 1-12.
  • 9Kenig C E, Ponce G, Vega L. Well-posedness of the initial value problem for the Korteweg-de Vries equation. J. Amer. Math. Soc., 1991, 4: 323-347.
  • 10Wu J. Viscous and inviscid magnetohydrodyanmics equations. J. Anal. Math., 1997, 73: 251-265.

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