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
J.A. Leach
BVP Boundary value problem Fusion Kolmogorov equations Reaction Diffusion Volume addition boundary element method class dynamical systems form kinetics model online theorem
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)