Fronts in anomalous diffusion-reaction systems

V. A. Volpert; Y. Nec; A. A. Nepomnyashchy

doi:10.1098/rsta.2012.0179

Fronts in anomalous diffusion-reaction systems

V. A. Volpert^*, Y. Nec, A. A. Nepomnyashchy

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Review article › peer-review

51 Scopus citations

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.

Original language	English (US)
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	371
Issue number	1982
DOIs	https://doi.org/10.1098/rsta.2012.0179
State	Published - Jan 13 2013

Keywords

Reaction
Subdiffusion
Superdiffusion
Travelling wave

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

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10.1098/rsta.2012.0179

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title = "Fronts in anomalous diffusion-reaction systems",

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 L{\'e}vy flights, truncated L{\'e}vy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.",

keywords = "Reaction, Subdiffusion, Superdiffusion, Travelling wave",

author = "Volpert, {V. A.} and Y. Nec and Nepomnyashchy, {A. A.}",

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AU - Volpert, V. A.

AU - Nec, Y.

AU - Nepomnyashchy, A. A.

PY - 2013/1/13

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N2 - 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.

AB - 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.

KW - Reaction

KW - Subdiffusion

KW - Superdiffusion

KW - Travelling wave

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M3 - Review article

C2 - 23185056

AN - SCOPUS:84871801053

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VL - 371

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 1982

ER -

Fronts in anomalous diffusion-reaction systems

Abstract

Keywords

ASJC Scopus subject areas

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