| 旋度与磁场微极流方程的正则性 |
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| 引用本文： | 张辉,陈鹏飞.旋度与磁场微极流方程的正则性[J].数学学报,2018,61(6):1049-1056. |
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| 作者姓名： | 张辉 陈鹏飞 |
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| 作者单位： | 1. 安庆师范大学数学与计算科学学院 安庆 246133;
2. 华南师范大学数学应用与交叉研究中心 广州 510631 |
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| 基金项目： | 安徽省教育厅资助项目（AQKJ2014B009）；安庆师范大学博士科研启动项目（K050001309） |
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| 摘 要： | 本文研究了速度场的旋度与三维磁场微极流方程组光滑解的整体存在性之间的关系,将Constantin与Fefferman关于Navier-Stokes方程组的成果推广到了一个相当完备的不可压缩流体方程组系统,使得相应的结果在微极流方程组以及MHD方程组中都成立.
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Vorticity and Regularity to the 3D Magneto-micropolar Fluid Equations |
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| Hui ZHANG,Pen Fei CHEN.Vorticity and Regularity to the 3D Magneto-micropolar Fluid Equations[J].Acta Mathematica Sinica,2018,61(6):1049-1056. |
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| Authors: | Hui ZHANG Pen Fei CHEN |
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| Institution: | 1. School of Mathematics and Computational Science, Anqing Normal University, Anqing 246133, P. R. China;
2. South China Research Center for Applied Mathematics and Interdisciplinary Studies, South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | We concern the relations between the voriticity of the velocity field and the global well-posedness of the 3D incompressible magneto-micropolar fluid equations. We improve and extend the result due to Constantin and Fefferman to a quite complete incompressible fluid systems. Moreover, our results have inclusion relation to micropolar fluid and MHD equations. |
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| Keywords: | magneto-micropolar fluid equations weak solution regularity criterion |
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