Overview
This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. The first part is concerned with obtaining the complete structure of the large-time solution of scalar reaction diffusion equations, and systems of reaction-diffusion equations. The second part is concerned with the analysis of a class of singular reaction-diffusion equations. In this detailed analysis, use is made of the method of matched asymptotic expansions, dynamical systems theory, and comparison theorems, which provide a powerful combination of techniques for the detailed analysis of this broad class of reaction-diffusion equations. The monograph can be viewed both as a handbook, and as a detailed description of the methodology. Researchers in reaction-diffusion theory, and scientists applying reaction-diffusion theory to such areas as chemical kinetics, biological systems, epidemiology and population dynamics, will find it a popular addition to the literature.
Full Product Details
Author: J.A. Leach ,
D.J. Needham
Publisher: Springer London Ltd
Imprint: Springer London Ltd
Edition: 2004 ed.
Dimensions:
Width: 15.50cm
, Height: 1.70cm
, Length: 23.50cm
Weight: 0.613kg
ISBN: 9781852337674
ISBN 10: 1852337672
Pages: 290
Publication Date: 12 December 2003
Audience:
College/higher education
,
Professional and scholarly
,
Postgraduate, Research & Scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews of the first edition: <p> 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 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)
