Fronts in anomalous diffusion-reaction systems

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

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

33 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 languageEnglish (US)
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume371
Issue number1982
DOIs
StatePublished - Jan 13 2013

Keywords

  • Reaction
  • Subdiffusion
  • Superdiffusion
  • Travelling wave

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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