Exponentially decaying component of a global solution to a reaction-diffusion system

Hiroki Hoshino*, Shuichi Kawashima

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


A reaction-diffusion system which is related to a simple irreversible chemical reaction between two chemical substances is considered. When a non-negative global solution for the system converges uniformly to zero with polynomial rate as time goes to infinity, large-time approximation of the solution is studied. It is shown that the difference of the solution and its spatial average tends to zero with exponential rate via a global solution for the corresponding system of ordinary differential equations.

Original languageEnglish
Pages (from-to)897-904
Number of pages8
JournalMathematical Models and Methods in Applied Sciences
Issue number5
Publication statusPublished - 1998 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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