Interface conditions for a singular reaction-diffusion system
Thomas I. Seidman · Discrete and Continuous Dynamical Systems - S · 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.