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Fast Reaction Limit of Reaction Diffusion Systems with Nonlinear Diffusion by Crooks, Elaine; Du, Yini is a scholarly article available to read on EtoBox.

What is Fast Reaction Limit of Reaction Diffusion Systems with Nonlinear Diffusion about?

In this paper, we present an approach to characterising 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 uxx in usual reaction-diffusion equation, which represent linear diffusion, by terms of form phi(u)xx, representing nonlinear diffusion. We prove the convergence as k tends to infinity to a limit that is determined by the unique solution of a certain scalar nonlinear diffusion limit problem.

Author

Crooks, Elaine; Du, Yini

Published

2022

Language

EN