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Philos Trans A Math Phys Eng Sci. 2013 Jan 13;371(1982):20120179. doi: 10.1098/rsta.2012.0179.

Fronts in anomalous diffusion-reaction systems.

Author information

1
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA. v-volpert@northwestern.edu

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.

PMID:
23185056
DOI:
10.1098/rsta.2012.0179
[Indexed for MEDLINE]
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