数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 1166-1175.

• 论文 • 上一篇    下一篇

半空间MHD方程组弱解的L2衰减

刘颖, 李佳   

  1. 1.装甲兵工程学院基础部 北京 100072; |2.北京市101中学 北京 100091
  • 收稿日期:2009-03-26 修回日期:2010-04-15 出版日期:2010-07-25 发布日期:2010-07-25

L2 Decay for Weak Solutions of the MHD Equations in Half Space

 LIU Ying, LI Jia   

  1. 1.Fundamental Department of the Academy of Armored Force Engineering, |Beijing 100072;
    2.Beijing 101 Middle School, Beijing 100091
  • Received:2009-03-26 Revised:2010-04-15 Online:2010-07-25 Published:2010-07-25

摘要:

该文利用Stokes算子的谱表示及能量估计的方法研究半空间MHD方程组初边值问题弱解的L2衰减.

关键词: MHD方程, 弱解, 衰减率

Abstract:

In this paper, the authors mainly study the decay rate for the weak solutions of the initial value and boundary value problem for the incompressible MHD equations in half spaces. The main tool is the spectral representation and the energy estimation.

Key words: MHD equations,  , Weak solutions, L2 decay rate

中图分类号: 

  • 35Q35