This is a mathematical monograph in Reaction Diffusion Theory. It presents new methods, which will be of interest to those researching in Reaction Diffusion theory, and to those applying the theory in epidemiology, population dynamics, chemical kinetics and biological systems.

Presents completely new methodologies, based on matched asymptotic expansions Can be used both as a handbook and as a detailed description of the methodologies Includes supplementary material: sn.pub/extras

Klappentext

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.

Inhalt

1. Fisher Nonlinearity: Initial Data with Algebraic Decay Rates.- 5 Extension to Systems of Fisher-Kolmogorov Equations. Example: A Simple Model for an Ionic Autocatalytic 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.