Fronts in anomalous diffusion–reaction systems

Author:

Volpert V. A.1,Nec Y.2,Nepomnyashchy A. A.34

Affiliation:

1. Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA

2. Department of Mathematics, University of British Columbia, Vancouver V6T 1Z2, Canada

3. Department of Mathematics, Technion—Israel Institute of Technology, 32000 Haifa

4. Institute of Physics, Humboldt University, 12489 Berlin

Abstract

A review of recent developments in the field of front dynamics in anomalous diffusion–reaction systems is presented. Both fronts between stable phases and those propagating into an unstable phase are considered. A number of models of anomalous diffusion with reaction are discussed, including models with Lévy flights, truncated Lévy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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