数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1369-1382.doi: 10.1016/S0252-9602(16)30075-3

• 论文 • 上一篇    下一篇

TIME DECAY RATE OF SOLUTIONS TO THE HYPERBOLIC MHD EQUATIONS IN R3

李蓓, 朱红锦, 赵才地   

  1. Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
  • 收稿日期:2015-04-20 修回日期:2016-01-08 出版日期:2016-10-25 发布日期:2016-10-25
  • 通讯作者: Caidi ZHAO,zhaocaidi2013@163.com E-mail:zhaocaidi2013@163.com
  • 作者简介:Bei LI,Lbbeili2015@163.com;Hongjin ZHU,zhuhongjinZHJ@163.com
  • 基金资助:

    Supported by NSFC (11271290) and GSPT of Zhejiang Province (2014R424062).

TIME DECAY RATE OF SOLUTIONS TO THE HYPERBOLIC MHD EQUATIONS IN R3

Bei LI, Hongjin ZHU, Caidi ZHAO   

  1. Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
  • Received:2015-04-20 Revised:2016-01-08 Online:2016-10-25 Published:2016-10-25
  • Contact: Caidi ZHAO,zhaocaidi2013@163.com E-mail:zhaocaidi2013@163.com
  • Supported by:

    Supported by NSFC (11271290) and GSPT of Zhejiang Province (2014R424062).

摘要:

In this paper, we first show the global existence, uniqueness and regularity of weak solutions for the hyperbolic magnetohydrodynamics (MHD) equations in R3. Then we establish that the solutions with initial data belonging to Hm(R3)∩L1(R3) have the following time decay rate:‖▽mu(x, t)‖2+‖▽mb(x, t)‖2+‖▽m+1u(x, t)‖2+‖▽m+1b(x, t)‖2c(1+t)-3/2-m for large t, where m=0, 1.

关键词: hyperbolic MHD equations, weak solution, time decay rate

Abstract:

In this paper, we first show the global existence, uniqueness and regularity of weak solutions for the hyperbolic magnetohydrodynamics (MHD) equations in R3. Then we establish that the solutions with initial data belonging to Hm(R3)∩L1(R3) have the following time decay rate:‖▽mu(x, t)‖2+‖▽mb(x, t)‖2+‖▽m+1u(x, t)‖2+‖▽m+1b(x, t)‖2c(1+t)-3/2-m for large t, where m=0, 1.

Key words: hyperbolic MHD equations, weak solution, time decay rate

中图分类号: 

  • 76A10