American Institute of Mathematical Sciences

September  2009, 2(3): 631-643. doi: 10.3934/dcdss.2009.2.631

Interface conditions for a singular reaction-diffusion system

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

Received  September 2008 Revised  November 2008 Published  June 2009

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.
Citation: Thomas I. Seidman. Interface conditions for a singular reaction-diffusion system. Discrete & Continuous Dynamical Systems - S, 2009, 2 (3) : 631-643. doi: 10.3934/dcdss.2009.2.631
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