Reaction-Transport Systems Mesoscopic Foundations, Fronts, and Spatial Instabilities /

• Main Authors: Horsthemke, Werner. (Author), Fedotov, Sergei. (Author), Mendez, Vicenc. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Springer Series in Synergetics,
• Subjects: Physics.; Chemistry, Physical organic.; Chemical engineering.; Ecology.; Genetics > Mathematics.; Statistical Physics, Dynamical Systems and Complexity.; Physical Chemistry.; Theoretical Ecology/Statistics.; Genetics and Population Dynamics.; Industrial Chemistry/Chemical Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-11443-4

This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous...

Table of Contents:

• Reaction Kinetics
• Reactions and Transport: Diffusion; Inertia, and Subdiffusion
• Random Walks and Mesoscopic Reaction-Transport Equations
• Reaction-Diffusion Fronts
• Reaction-Transport Fronts Propagating into Unstable States
• Reaction-Diffusion Fronts in Complex Structures
• Ecological Applications
• Biomedical Applications
• Persistence and Extinction of Populations in Finite Domains
• Turing Instabilities in Homogeneous Systems
• Turing Instabilities in Reaction-Diffusion Systems With Temporally or Spatially Varying Parameters
• Chemical and Biological Applications of Turing Systems
• Pattern Formation in Spatially Discrete Systems
• Kronecker Product
• References
• Index.