| 三维磁流体方程组弱解的正则准则 |
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| 引用本文： | 李凤萍. 三维磁流体方程组弱解的正则准则[J]. 高校应用数学学报(A辑), 2019, 34(1): 114-120 |
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| 作者姓名： | 李凤萍 |
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| 作者单位： | 河南理工大学 数学与信息科学学院 河南焦作 454000 |
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| 摘 要： | 利用能量法和插值不等式讨论三维不可压磁流体方程组弱解的正则性,得到只用速度场u的梯度的一些分量刻画的正则准则.
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| 关 键 词： | 磁流体方程组 弱解 正则准则 |
Regularity criteria of the weak solutions for the 3D Magnetohydrodynamic equations |
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| LI Feng-ping. Regularity criteria of the weak solutions for the 3D Magnetohydrodynamic equations[J]. Applied Mathematics A Journal of Chinese Universities, 2019, 34(1): 114-120 |
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| Authors: | LI Feng-ping |
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| Affiliation: | (School of Mathematics and Informatics, Henan Polytechnic University,Jiaozuo 454000, China) |
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| Abstract: | In this paper, the regularity criteria for the weak solutions to the magnetohydrody- namic equations are studied in R^3 by means of energy method and interpolation inequality. Some regularity criteria are obtained which are characterized by some components of ▽u. |
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| Keywords: | magnetohydrodynamic equations weak solution regularity criterion |
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