Nonlinear PDE’s in Condensed Matter and Reactive Flows pp 11-48

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The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations

  • H. Berestycki
Chapter

Abstract

Propagation of fronts is a phenomenon which plays a central role in a varied array of different fields. Front solutions in combustion represent propagating flames in particular in the setting of deflagrations in premixed gases (see e.g. [13, 68]). In physics and chemistry, more generally, propagating fronts describe phase transitions as a steady transformation taking place at a well defined velocity. Biological invasions or changes in populations are also often modelled as fronts (see e.g. [26], [53] and [62]). Propagation of fronts and of pulses appears indeed to be a very general phenomenon in excitable media.

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© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • H. Berestycki
    • 1
  1. 1.EHESSParisFrance

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