Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2005-10

AUTHORS

Henri Berestycki, Francois Hamel, Alexander Kiselev, Lenya Ryzhik

ABSTRACT

We consider a reaction-diffusion system of KPP type in a shear flow and with a non-zero heat-loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagation speed in terms of the exponential decay of the initial data. We prove the existence of travelling fronts for all speeds c>max(0,c*) in the case Le=1, where c* ∈ ℝ. This seems to be one of the first non-perturbative results on the existence of fronts for the thermo-diffusive system in higher dimensions. More... »

PAGES

57-80

References to SciGraph publications

  • 1993-12. Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media in JOURNAL OF STATISTICAL PHYSICS
  • 1990-03. Multi-dimensional travelling-wave solutions of a flame propagation model in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2002. The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations in NONLINEAR PDE’S IN CONDENSED MATTER AND REACTIVE FLOWS
  • 1992-09. Existence of planar flame fronts in convective-diffusive periodic media in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2000-08. Bulk Burning Rate in¶Passive–Reactive Diffusion in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1999-11. Existence and stabilty of multidimensional travelling waves in the monostable case in ISRAEL JOURNAL OF MATHEMATICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00205-005-0367-4

    DOI

    http://dx.doi.org/10.1007/s00205-005-0367-4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1024357633


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