Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium
Danielle Hilhorst, ,Laboratoire de Mathématiques, CNRS et Université de Paris-Sud, 91405 Orsay, Hideki Murakawa · Networks and Heterogeneous Media · 2014
In this paper we consider a three-component reaction-diffusion system with a fast precipitation and dissolution reaction term. We investigate its singular limit as the reaction rate tends to infinity. The limit problem is described by a combination of a Stefan problem and a linear heat equation. The rate of convergence with respect to the reaction rate is established in a specific case.