Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations

被引：13

作者：

Du, Yi ^{[1
]}

Liu, Yan ^{[1
,2
]}

Yao, Zhengan ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

[2] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510271, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 02期

关键词：

magnetohydrodynamics; Navier-Stokes equations; NAVIER-STOKES EQUATIONS; 3D MHD EQUATIONS; WEAK SOLUTIONS; REGULARITY CRITERIA; HYDRODYNAMICS; BOUNDS;

D O I：

10.1063/1.3075570

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we establish some improved regularity conditions for the three-dimensional (3D) magnetohydrodynamics equations. We proved the logarithmically improved Caflisch-Klapper-Steele's criteria ["Remarks on sigularities, dimension and energy dissipation for ideal hydrodynamics and MHD," Commun. Math. Phys. 184, 443 (1997)] as well as the logarithmically improved He-Xin's ["On the regularity of weak solutions to the magnetohydrodynamic equations," J. Differ. Equ. 23, 235 (2005)] and Wu's ["Bounds and new approach for the 3D MHD equations," J. Nonlinear Sci. 12, 395 (2002)] results for 3D ideal MHD equations.

引用

页数：8

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