Fronts in anomalous diffusion–reaction systems | Zendy

Vitaly Volpert | Zendy; Yaec | Zendy; Alexander Nepomnyashchy | Zendy

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Fronts in anomalous diffusion–reaction systems

Author(s) -

Vitaly Volpert,

Yaec,

Alexander Nepomnyashchy

Publication year - 2012

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2012.0179

Subject(s) - reaction–diffusion system , diffusion , statistical physics , front (military) , anomalous diffusion , physics , field (mathematics) , reaction dynamics , thermodynamics , mathematics , computer science , meteorology , quantum mechanics , knowledge management , innovation diffusion , pure mathematics , molecule

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.

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