Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
复制标题
三维不可压缩磁流体动力学方程的正则准则
DOI：
10.1088/0951-7715/26/1/219
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发表时间：
2012
期刊：
影响因子：
1.7
通讯作者：
Du, Lili
中科院分区：
文献类型：
--
作者：
Lin, Hongxia;Du, Lili
本文给出了三维不可压缩磁流体力学方程组的一些新的整体正则性准则。更精确地说，我们给出了三维不可压MHD方程强解在整个空间中的整体正则性的速度或压力导数的充分条件，以及周期边界条件。此外，还得到了包含速度梯度张量九个分量中的三个分量的正则性判据。主要结果推广了Cao和Wu（2010 Two regularity criteria for the 3D MHD equations J. Diff.方程248 2263-74），并且该分析部分地基于Cao C和Titi E的著作（2008 Regularity criterion for the three-dimensional Navier-Stokes equations印第安纳州Univ.Math.J.57 2643-61; 2011 Gobal regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor Arch. Rational Mech. Anal. 202 919-32）的三维不可压缩Navier-Stokes方程。
In this paper, we give some new global regularity criteria for three-dimensional incompressible magnetohydrodynamics (MHD) equations. More precisely, we provide some sufficient conditions in terms of the derivatives of the velocity or pressure, for the global regularity of strong solutions to 3D incompressible MHD equations in the whole space, as well as for periodic boundary conditions. Moreover, the regularity criterion involving three of the nine components of the velocity gradient tensor is also obtained. The main results generalize the recent work by Cao and Wu (2010 Two regularity criteria for the 3D MHD equations J. Diff. Eqns 248 2263–74) and the analysis in part is based on the works by Cao C and Titi E (2008 Regularity criteria for the three-dimensional Navier–Stokes equations Indiana Univ. Math. J. 57 2643–61; 2011 Gobal regularity criterion for the 3D Navier–Stokes equations involving one entry of the velocity gradient tensor Arch. Rational Mech. Anal. 202 919–32) for 3D incompressible Navier–Stokes equations.
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影响因子：
2.5
作者：
G. Duvaut;J. Lions
通讯作者：
G. Duvaut;J. Lions
影响因子：
2.4
作者：
Caflisch, RE;Klapper, I;Steele, G
通讯作者：
Steele, G
DOI：
10.1090/chel/343
发表时间：
1977-02
期刊：
--
影响因子：
--
作者：
R. Temam
通讯作者：
R. Temam
影响因子：
1.1
作者：
Yong Zhou
通讯作者：
Yong Zhou
影响因子：
1.7
作者：
C. Cao;Jiahong Wu
通讯作者：
C. Cao;Jiahong Wu