Traveling Fronts for the Thermo-Diffusive System with Arbitrary Lewis Numbers View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2010-03

AUTHORS

François Hamel, Lenya Ryzhik

ABSTRACT

We consider KPP-type systems in a cylinder with an arbitrary Lewis number (the ratio of thermal and material diffusivities) in the presence of a shear flow. We show that traveling fronts solutions exist for all Lewis numbers and approach uniform limits at the two ends of the cylinder.

PAGES

923-952

References to SciGraph publications

  • 1996-12. Bifurcations of travelling waves in the thermo-diffusive model for flame propagation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1991-03. On the method of moving planes and the sliding method in BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, NEW SERIES
  • 2005-10. Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00205-009-0234-9

    DOI

    http://dx.doi.org/10.1007/s00205-009-0234-9

    DIMENSIONS

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