Chemical kinetics on surfaces: A singular limit of a reaction-diffusion system

G. Fibich, I. Gannot, A. Hammers, S. Schochet

Research output: Contribution to journalArticle

Abstract

We show that chemical kinetics relations can be used to describe processes that involve binding and dissociation reactions that take place on surfaces. From a mathematical perspective, the problem we study is a singular limit of a reaction-diffusion system in which one of the variables concentrates on a lower-dimensional set in the limit, while the other continues to diffuse in a fixed domain.

Original languageEnglish (US)
Pages (from-to)1371-1388
Number of pages18
JournalSIAM Journal on Mathematical Analysis
Volume38
Issue number5
DOIs
StatePublished - 2006

Keywords

  • Binding
  • Chemical kinetics
  • Dissociation
  • Invariant region
  • Singular limit
  • Surface

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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