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

Hiroki Hoshino, Shuichi Kawashima

研究成果: Article査読

5 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)897-904
ページ数8
ジャーナルMathematical Models and Methods in Applied Sciences
8
5
DOI
出版ステータスPublished - 08-1998

All Science Journal Classification (ASJC) codes

  • モデリングとシミュレーション
  • 応用数学

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