| 三维广义MHD方程弱解的正则性准则 |
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| 引用本文： | 张辉,孙业成. 三维广义MHD方程弱解的正则性准则[J]. 宁夏大学学报(自然科学版), 2012, 0(4): 339-341 |
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| 作者姓名： | 张辉 孙业成 |
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| 作者单位： | 湘潭大学数学学院,湖南湘潭411105 |
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| 基金项目： | 湖南省研究生科研创新项目（CX20118246） |
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| 摘 要： | 利用能量估计的方法在R3中研究广义MHD方程弱解的正则性，得到了一个只涉及速度场一个方向导数的正则性准则，推广了已有的结果．．
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| 关 键 词： | 广义MHD方程 弱解 正则性准则 |
Regularity Criterion to the Generalized Magneto-hydrodynamic Equations |
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| Zhang Hui,Sun Yecheng. Regularity Criterion to the Generalized Magneto-hydrodynamic Equations[J]. Journal of Ningxia University(Natural Science Edition), 2012, 0(4): 339-341 |
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| Authors: | Zhang Hui Sun Yecheng |
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| Affiliation: | ( School of Mathematical Science, Xiangtan University, Xiangtan 411105, China) |
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| Abstract: | The regularity criterion to the generalized magneto-hydrodynamic equations in R3 is considered. By the energy method, a regularity criterion in terms of the derivative of the velocity field in one direction is obtained. This result extended the result previously. |
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| Keywords: | generalized magneto-hydrodynamics equations weak solutions regularity criterion |
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