Interface conditions for a singular reaction-diffusion system

Thomas I. Seidman

doi:10.3934/dcdss.2009.2.631

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2009, Volume 2, Issue 3: 631-643. Doi: 10.3934/dcdss.2009.2.631

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Interface conditions for a singular reaction-diffusion system

Thomas I. Seidman^1,

1.
Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD 21250

Received: August 31, 2008

Revised: October 31, 2008

Published: August 2009

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Abstract

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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Mathematics Subject Classification: Primary: 35B25, 35K60; Secondary: 80A30.

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