Chemical Kinetics on Surfaces: A Singular Limit of a Reaction‐Diffusion System | Zendy

Gadi Fibich | Zendy; Israel Gannot | Zendy; A. Hammer | Zendy; Steven Schochet | Zendy

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Chemical Kinetics on Surfaces: A Singular Limit of a Reaction‐Diffusion System

Author(s) -

Gadi Fibich,

Israel Gannot,

A. Hammer,

Steven Schochet

Publication year - 2007

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/050633767

Subject(s) - mathematics , limit (mathematics) , diffusion , reaction–diffusion system , kinetics , mathematical analysis , chemical reaction , chemical kinetics , thermodynamics , statistical physics , chemistry , classical mechanics , physics , biochemistry

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 per- spective, 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.

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