Interface conditions for a singular reaction-diffusion system | Zendy

Thomas I. Seidman | Zendy

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Interface conditions for a singular reaction-diffusion system

Author(s) -

Thomas I. Seidman

Publication year - 2009

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2009.2.631

Subject(s) - interface (matter) , reaction–diffusion system , diffusion , limit (mathematics) , chemical reaction , chemical physics , computer science , statistical physics , materials science , chemistry , thermodynamics , mathematics , physics , mathematical analysis , biochemistry , gibbs isotherm , adsorption

For a chemical reaction/diffusion system, a very fast reaction $A+B\to C$ implies non-coexistence of $A,B$ with resulting interfaces. We try to understand how these interfaces evolve in time. In particular, we seek a characterizing system of equations and conditions for the sharp interface limit: when this fast reaction is taken as infinitely fast.

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