Global Existence and Asymptotic Behavior for a Reaction–Diffusion System with Unbounded Coefficients

Mohamed Majdoub*, Nasser Eddine Tatar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a reaction–diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of reaction–diffusion equations with unbounded time-dependent coefficients and different polynomial reaction terms. An exponential decay of the globally bounded solutions is proved. The key tool of the proofs are properties of analytic semigroups and some inequalities.

Original languageEnglish
Article number189
JournalMediterranean Journal of Mathematics
Volume20
Issue number4
DOIs
StatePublished - Aug 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

  • Analytic semi-group
  • exponential decay
  • fractional operator
  • reaction–diffusion system
  • sectorial operator

ASJC Scopus subject areas

  • General Mathematics

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