Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (2): 261-.

• Articles • Previous Articles     Next Articles

ASYMPTOTIC BEHAVIOR OF SOLUTION FOR NONLOCAL REACTION-DIFFUSION SYSTEM

 LI Fu-Cai, CHEN Wei-Peng, XIE Chun-Gong   

  1. Department of Mathematics, Nanjing University, Nanjing 210093, China
  • Online:2003-04-07 Published:2003-04-07

Abstract:

This paper deals with reaction-diffusion system with nonlocal source. It is
proved that there exists a unique classical solution and the solution either exists globally
or blows up in finite time. Furthermore, its blow-up set and asymptotic behavior are
obtained provided that the solution blows up in finite time.

Key words: Nonlocal source, global existence, blow-up, blow-up set, asymptotic behavior of solution

CLC Number: 

  • 35K57
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