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

Hiroki Hoshino, Shuichi Kawashima

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume8
Issue number5
DOIs
Publication statusPublished - 1998 Jan 1
Externally publishedYes

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Reaction-diffusion System
Ordinary differential equations
Global Solution
Chemical reactions
Polynomials
Zero
System of Ordinary Differential Equations
Chemical Reaction
Non-negative
Infinity
Tend
Converge
Polynomial
Approximation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Exponentially decaying component of a global solution to a reaction-diffusion system. / Hoshino, Hiroki; Kawashima, Shuichi.

In: Mathematical Models and Methods in Applied Sciences, Vol. 8, No. 5, 01.01.1998, p. 897-904.

Research output: Contribution to journalArticle

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