Transition from pushed-to-pulled fronts in piecewise linear reaction-diffusion systems

V. Méndez, V. Ortega-Cejas, E. P. Zemskov, J. Casas-Vázquez

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

The front dynamics in reaction-diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity position in the reaction function. In particular, we study how the transition depends on the properties of the reaction term and on the delay time. Our results are in good agreement with the numerical solutions of the model. © 2006 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)51-64
JournalPhysica A: Statistical Mechanics and its Applications
Volume375
DOIs
Publication statusPublished - 15 Feb 2007

Keywords

  • Pulled fronts
  • Pushed fronts
  • Reaction-diffusion

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