期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Regularity Criteria for the Three-dimensional MHD Equations

Regularity Criteria for the Three-dimensional MHD Equations
原文传递
导出
摘要 In this paper, we consider regularity criteria for solutions to the 3D MHD equations with incompressible conditions. By using some classical inequalities, we obtain the regularity of strong solutions to the three-dimensional MHD equations under certain sufficient conditions in terms of one component of the velocity field and the magnetic field respectively. In this paper, we consider regularity criteria for solutions to the 3D MHD equations with incompressible conditions. By using some classical inequalities, we obtain the regularity of strong solutions to the three-dimensional MHD equations under certain sufficient conditions in terms of one component of the velocity field and the magnetic field respectively.
作者 Lan LUO Yong-ye ZHAO Qing YANG
机构地区 Institute for Mathematics and Information Sciences School of Mathematics and Computional Science
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2011年第4期581-594,共14页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China (No. 10971174)
关键词 MHD equations strong solution REGULARITY MHD equations, strong solution, regularity
分类号 O53 [理学—等离子体物理] O177.91 [理学—基础数学]
  • 相关文献

参考文献1

二级参考文献10

  • 1Beal, J., Kato, T.,Majda, A. J.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations.Comm. Math. Phys., 94, 61-66 (1984).
  • 2Politano, H.. Pouquet, A., Sulem, P. L.: Current and vorticity dynamics in three-dimensional magnetohydrodynamic turbulence. Phys. Plamas, 2, 2931-2939 (1995).
  • 3Constantim P., Fefferman, C.: Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Indiana University Mathematics J., 42(3), 775-789 (1993).
  • 4Constantin, P., Fefferman, C., Majda, A. J.: Geometric constraints on potentially singular solutions for 3-D Euler equations. Comm. Partial Differential Equations, 21(3&4), 539-571 (1996).
  • 5Caflisch, R. E., Klapper, I., Steele, G.: Remarks on singularities, dimension and energy dissipation for ideal hydrodynamic and MHD. Comm. Math. Phys., 184, 443-455 (1997).
  • 6Wu, J.: Analytic results related to magnetohydrodynamic turbulence. Physica D., 136, 353-372 (2000).
  • 7He, C., Xin, Z. P.: On the regularity of solutions to the magnetohydrodynamic equations. Preprint.
  • 8Constantiu, P.: Geometric statistic in turbuleace. SIAM Review, 36(1), 73-98 (1994).
  • 9Sermange, M., Teman, R.: Some mathematical questions related to the MHD equations. Comm. Pure Appl. Math., 36, 635-664 (1983).
  • 10Wu, J.: Viscous and inviscid magneto-hydrodynamic equations. Journal D'analyse Math., 73, 251-265(1997).

共引文献10

Acta Mathematicae Applicatae Sinica
2011年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部