Matched Asymptotic Expansions in Reaction-Diffusion Theory (Springer Monographs in Mathematics) （2004. 305 p. w. 52 figs.）

Leach, John A./ Needham, David J.

SPRINGER, BERLIN（2004発売）

• 製本 Hardcover:ハードカバー版／ページ数 305 p.
• 商品コード 9781852337674

Full Description

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.