Fronts in anomalous diffusion-reaction systems.

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

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 2013 Jan 13

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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.

Citation

V A Volpert, Y Nec, A A Nepomnyashchy. Fronts in anomalous diffusion-reaction systems. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 2013 Jan 13;371(1982):20120179