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Nonlinear PDE’s in Condensed Matter and Reactive Flows pp 169–187Cite as

Conical-Shaped Travelling Fronts Allied to the Mathematical Analysis of the Shape of Premixed Bunsen Flames

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

Abstract

This paper is devoted to some existence results and qualitative properties of solutions to some semilinear elliptic equations in the whole space ℝ N with asymptotic conical conditions at infinity. This work aims at analyzing the conical shape of premixed Bunsen flames.

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Author information

Authors and Affiliations

  1. Faculté Saint-Jérôme, Université Aix-Marseille III, LATP, Avenue Escadrille Normandie-Niemen, 13397, Marseille Cedex 20, France

    F. Hamel

  2. Ecole Nationale des Ponts et Chaussées, CERMICS, 6-8 avenue B. Pascal, Cité Descartes, Champs-sur-Marne, 77455, Marne-La-Vallée Cedex 2, France

    R. Monneau

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  1. F. Hamel
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  2. R. Monneau
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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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Hamel, F., Monneau, R. (2002). Conical-Shaped Travelling Fronts Allied to the Mathematical Analysis of the Shape of Premixed Bunsen Flames. 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_8

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  • DOI: https://doi.org/10.1007/978-94-010-0307-0_8

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