Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (5): 1369-1382.doi: 10.1016/S0252-9602(16)30075-3

• Articles • Previous Articles     Next Articles

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).

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

CLC Number: 

  • 76A10
Trendmd