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

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Nonlinear PDE’s in Condensed Matter and Reactive Flows

Part of the book series: NATO Science Series ((ASIC,volume 569))

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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    H. Berestycki

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  1. Ecole des hautes Etudes en Sciences Sociales, Paris, France

    Henri Berestycki

  2. Ecole Normale Supérieure, CNRS, Paris, France

    Yves Pomeau

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Berestycki, H. (2002). The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations. In: Berestycki, H., Pomeau, Y. (eds) Nonlinear PDE’s in Condensed Matter and Reactive Flows. NATO Science Series, vol 569. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0307-0_2

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  • DOI: https://doi.org/10.1007/978-94-010-0307-0_2

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