数学物理学报 ›› 2010, Vol. 30 ›› Issue (3): 593-602.

• 论文 • 上一篇    下一篇

可压缩磁流体动力方程解的正则性

吴宏伟   

  1. 东南大学数学系 南京 210096
  • 收稿日期:2009-03-07 修回日期:2010-01-25 出版日期:2010-05-25 发布日期:2010-05-25
  • 基金资助:

    江苏省自然科学基金(BK2007101)资助

Regularity Criteria for the Compressible Magneto-hydrodynamic Equations

 WU Hong-Wei   

  1. Department of Mathematics, Southeast University, Nanjing 210096
  • Received:2009-03-07 Revised:2010-01-25 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    江苏省自然科学基金(BK2007101)资助

摘要:

该文研究三维等熵磁流体动力方程和二维带正密度的热传导磁流体动力方程解的正则性. 给出了局部强解爆破的条件.

关键词: 磁流体动力学, 正则性, 乘子空间

Abstract:

We study the magneto-hydrodynamic (MHD) equations of 3D compressible isentropic and 2$D$ heat-conducting flows with positive density respectively. We prove some blow-up criteria for the local strong solutions.

Key words: Magneto-hydrodynamics, Regularity criterion, Multiplier spaces

中图分类号: 

  • 35B40