数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2211-2220.doi: 10.1016/S0252-9602(12)60171-4

• 论文 • 上一篇    下一篇

DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN

Mohamed Ahmed Abdallah1|江飞2,3*|谭忠1   

  1. 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
    2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China;
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:2011-06-13 修回日期:2011-12-03 出版日期:2012-11-20 发布日期:2012-11-20
  • 通讯作者: 江飞,jiangfei0591@163.com E-mail:mohamed.ah.abd@hotmail.com; jiangfei0591@163.com; ztan85@163.com
  • 基金资助:

    Supported by the National Natural Science Foundation of China (10976026), and the Fujian Provincial Department of Science and Technology (JK2009045).

DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN

 Mohamed Ahmed Abdallah1, JIANG Fei2,3*, TAN Zhong1   

  1. 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
    2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China;
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2011-06-13 Revised:2011-12-03 Online:2012-11-20 Published:2012-11-20
  • Contact: JIANG Fei,jiangfei0591@163.com E-mail:mohamed.ah.abd@hotmail.com; jiangfei0591@163.com; ztan85@163.com
  • Supported by:

    Supported by the National Natural Science Foundation of China (10976026), and the Fujian Provincial Department of Science and Technology (JK2009045).

摘要:

In this paper, under the hypothesis that ρ is upper bounded, we construct a Lyapunov functional for the multidimensional isentropic compressible magnetohydrody-namic equations and show that the weak solutions decay exponentially to the equilibrium state in L2 norm. Our result verifies that the method of Daoyuan Fang, Ruizhao Zi and Ting Zhang [1] can be adapted to magnetohydrodynamic equations.

关键词: Navier–Stokes equations, weak solution, decay estimates, magnetohydrody-namic

Abstract:

In this paper, under the hypothesis that ρ is upper bounded, we construct a Lyapunov functional for the multidimensional isentropic compressible magnetohydrody-namic equations and show that the weak solutions decay exponentially to the equilibrium state in L2 norm. Our result verifies that the method of Daoyuan Fang, Ruizhao Zi and Ting Zhang [1] can be adapted to magnetohydrodynamic equations.

Key words: Navier–Stokes equations, weak solution, decay estimates, magnetohydrody-namic

中图分类号: 

  • 35Q35