Matched Asymptotic Expansions in Reaction-Diffusion Theory / Edition 1

by J.A. Leach, D.J. Needham

Overview

This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a detailed description of the methodology. The authors present new methods based on matched asymptotic expansions.

Product Details

ISBN-13:	9781852337674
Publisher:	Springer London
Publication date:	11/11/2003
Series:	Springer Monographs in Mathematics
Edition description:	2004
Pages:	290
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1) Fisher Nonlinearity: Initial Data with Algebraic Decay Rates.- 5 Extension to Systems of Fisher-Kolmogorov Equations. Example: A Simple Model for an Ionic Auatalytic System.- 6 Introduction.- 7 Permanent Form Travelling Waves (PTWs).- 8 The Initial-Boundary Value Problem.- 9 Asymptotic Solution of IBVP as t— 0 for 0— x <—: Initial Data with Exponential or Algebraic Decay Rates—.- 10 Extension to the System of Singular Reaction-Diffusion Equations 221.- C Analysis of Boundary Value Problem (8.76)–(8.78).- D Analysis of Boundary Value Problem (8.90)–(8.92).- References.

Editorial Reviews

From the reviews of the first edition:

"The book contains useful information on the topic, especially precise (and non-standard) asymptotic expansions in different regions collected with the help of the MAE-s into the complete characterization of the solutions to the nonlinear problems in consideration. The book is warmly recommended to specialists in ODE-s, PDE-s, researchers in reaction-diffusion theory, physicists, engineers and to students with basic knowledge on parabolic equations." (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 72, 2006)

From the Publisher