Front propagation problems with sub-diffusion

Yana Nec*, Vladimir Volpert, Alexander A. Nepomnyashchy

*Corresponding author for this work

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

Front propagation is considered for two kinds of sub-diffusion - reaction systems: (i) systems with sub-diffusion limited reaction rate governed by models with fractional time derivatives; (ii) systems with activation limited reaction rate governed by integro-differential equations with two time variables. It is shown that in the former case the front is described by a travelling wave solution, while in the latter the velocity of the front decreases with time.

Original languageEnglish (US)
Pages (from-to)827-846
Number of pages20
JournalDiscrete and Continuous Dynamical Systems
Volume27
Issue number2
DOIs
StatePublished - Jun 1 2010

Keywords

  • Domain wall
  • Front
  • Sub-diffusion

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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