Affiliation:
1. Department of Mathematics, Faculty of Science and Engineering, Swansea University, Swansea SA1 8EN, UK
Abstract
In this paper, we present an approach to characterizing fast-reaction limits of systems with nonlinear diffusion, when there are either two reaction–diffusion equations, or one reaction–diffusion equation and one ordinary differential equation, on unbounded domains. Here, we replace the terms of the form [Formula: see text] in usual reaction–diffusion equation, which represent linear diffusion, by terms of form [Formula: see text], representing nonlinear diffusion. We prove the convergence in the fast-reaction limit [Formula: see text] that is determined by the unique solution of a certain scalar nonlinear diffusion problem.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,General Mathematics