| 带有部分耗散和磁扩散的二维不可压MHD方程组解的正则性条件 |
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| 引用本文： | 王术,白晋雄.带有部分耗散和磁扩散的二维不可压MHD方程组解的正则性条件[J].北京工业大学学报,2013,39(1):143-148,152. |
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| 作者姓名： | 王术 白晋雄 |
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| 作者单位： | 北京工业大学应用数理学院,北京,100124 |
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| 基金项目： | 国家“973”计划资助项目(2011CB808002);北京市教育委员会基金资助项目(006000546312506);北京工业大学京华人才基金资助项目(006000543112500) |
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| 摘 要： | 研究了带有部分耗散和磁扩散的二维不可压磁流体力学方程组解的正则性问题,给出带有混合部分耗散和磁扩散(速度场和磁场只有同一个方向上的二阶偏导数)的二维不可压Magnetohydrodynamics(MHD)方程组的一个整体正则性条件.证明了只要磁场在一个方向的偏导数满足一定条件,那么带有混合部分耗散和磁扩散的二维不可压MHD方程组的唯一局部经典解为整体经典解.
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| 关 键 词： | 正则性 2D不可压Magnetohydrodynamic(MHD)方程组 无黏性极限 |
Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion |
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| WANG Shu,BAI Jin-xiong.Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion[J].Journal of Beijing Polytechnic University,2013,39(1):143-148,152. |
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| Authors: | WANG Shu BAI Jin-xiong |
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| Affiliation: | (College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | The regularity for the 2D incompressible MHD equations with partial dissipation and magnetic diffusion was studied.A regularity criteria was given for the 2D incompressible MHD equations with partial dissipation and magnetic diffusion(The velocity field and the magnetic field had the partial derivative of two-order type only in the same one direction).It is proved that the uniqueness local classical solution of the 2D incompressible MHD equations with partial dissipation and magnetic diffusion will be global if the partial derivative of magnetic in one direction satisfies one regularity criteria. |
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| Keywords: | regularity criteria 2D incompressible MHD equations zero viscosity limit |
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