| 磁场微极流方程组弱解的正则性准则 |
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| 引用本文： | 张辉. 磁场微极流方程组弱解的正则性准则[J]. 数学杂志, 2016, 36(2): 303-309 |
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| 作者姓名： | 张辉 |
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| 作者单位： | 安庆师范学院数学与计算科学学院, 安徽 安庆 246011 |
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| 基金项目： | 安庆师范学院博士科研启动基金资助(K05000130009) |
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| 摘 要： | 本文研究了三维空间中磁场微极流方程组弱解的正则性准则问题.利用能量估计的方法证明了如果速度场以及磁场满足一定的条件,则弱解在(0,T]是唯一的强解.
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| 关 键 词： | 磁场微极流方程组 弱解 正则性准则 |
| 收稿时间： | 2013-10-22 |
| 修稿时间： | 2014-04-01 |
REGULARITY CRITERION FOR WEAK SOLUTIONS TO THE 3D MAGNETO-MICROPOLAR FLUID EQUATIONS |
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| ZHANG Hui. REGULARITY CRITERION FOR WEAK SOLUTIONS TO THE 3D MAGNETO-MICROPOLAR FLUID EQUATIONS[J]. Journal of Mathematics, 2016, 36(2): 303-309 |
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| Authors: | ZHANG Hui |
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| Affiliation: | School of Mathematical and Computation Science, Anqing Normal University, Anqing 246011, China |
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| Abstract: | In this paper, we study the regularity criterion to magneto-micropolar equations in R3. By energy estimate, we obtain a regularity criterion in terms of direction of the velocity. It is proved that if the velocity field and magnetic field satisfy some conditions, then the weak solution is actually the unique strong solution on (0,T]. |
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| Keywords: | magneto-micropolar fluid equations weak solutions regularity criterion |
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