Fundamental Serrin Type Regularity Criteria for 3D MHD Fluid Passing Through the Porous Medium
Fundamental Serrin Type Regularity Criteria for 3D MHD Fluid Passing Through the Porous Medium
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DOI：
10.2298/fil1705287z
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发表时间：
2017-03
期刊：
影响因子：
0.8
通讯作者：
Zujin Zhang;D. Zhong;Shujin Gao;Shulin Qiu
中科院分区：
文献类型：
--
作者：
Zujin Zhang;D. Zhong;Shujin Gao;Shulin Qiu
本文研究了三维MHD流体通过多孔介质的Cauchy问题，给出了一些基本的Serrin型正则性准则，包括速度或速度梯度、压力或压力梯度。这是一种扩展和改进[S]。Rahman，$3$D磁流体通过多孔介质的梯度压力正则性准则，{\it J. COMPUT.应用数学}，（2014），88- 99]。
In this paper, we consider the Cauchy problem for the $3$D MHD fluid passing through the porous medium, and provide some fundamental Serrin type regularity criteria involving the velocity or its gradient, the pressure or its gradient. This extends and improves [S. Rahman, Regularity criterion for $3$D MHD fluid passing through the porous medium in terms of gradient pressure, {\it J. Comput. Appl. Math.}, {\bf 270} (2014), 88--99].