Fronts and invasions in general domains

Henri Berestycki; François Hamel

doi:10.1016/j.crma.2006.09.036

Partial Differential Equations

Fronts and invasions in general domains
[Fronts et invasions dans des domaines quelconques]

Présenté par : Paul Malliavin

Henri Berestycki ¹ ; François Hamel ²

¹ EHESS, CAMS, 54, boulevard Raspail, 75006 Paris, France
² Université Aix-Marseille III, LATP, avenue Escadrille Normandie-Niemen, 13397 Marseille cedex 20, France

Comptes Rendus. Mathématique, Volume 343 (2006) no. 11-12, pp. 711-716.

Résumé
Abstract

Cette Note définit des notions générales d'ondes et fronts pour des équations de réaction–diffusion dans des domaines quelconques et donne des résultats qualitatifs de monotonie et d'unicité pour des fronts d'invasion ou presque plans.

This Note defines generalized waves and fronts for reaction–diffusion equations in general domains. Some qualitative monotonicity and uniqueness results are given for invasion and almost-planar fronts.

Reçu le : 2006-09-21
Accepté le : 2006-09-26
Publié le : 2006-12-01

DOI : 10.1016/j.crma.2006.09.036

Affiliations des auteurs :

Henri Berestycki ¹ ; François Hamel ²

¹ EHESS, CAMS, 54, boulevard Raspail, 75006 Paris, France
² Université Aix-Marseille III, LATP, avenue Escadrille Normandie-Niemen, 13397 Marseille cedex 20, France

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     title = {Fronts and invasions in general domains},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {711--716},
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     number = {11-12},
     year = {2006},
     doi = {10.1016/j.crma.2006.09.036},
     language = {en},
}

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Henri Berestycki; François Hamel. Fronts and invasions in general domains. Comptes Rendus. Mathématique, Volume 343 (2006) no. 11-12, pp. 711-716. doi : 10.1016/j.crma.2006.09.036. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.09.036/

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Cité par

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