Bistable transition fronts in R^N - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Advances in Mathematics Année : 2016

Bistable transition fronts in R^N

François Hamel

Résumé

This paper is chiefly concerned with qualitative properties of some reaction-diffusion fronts. The recently defined notions of transition fronts generalize the standard notions of traveling fronts. In this paper, we show the existence and the uniqueness of the global mean speed of bistable transition fronts in R^N. This speed is proved to be independent of the shape of the level sets of the fronts. The planar fronts are also characterized in the more general class of almost-planar fronts with any number of transition layers. These qualitative properties show the robustness of the notions of transition fronts. But we also prove the existence of new types of transition fronts in R^N that are not standard traveling fronts, thus showing that the notions of transition fronts are broad enough to include other relevant propagating solutions.
Fichier principal
Vignette du fichier
h9bis.pdf (549.88 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00790351 , version 1 (20-02-2013)

Identifiants

Citer

François Hamel. Bistable transition fronts in R^N. Advances in Mathematics, 2016, 289, pp.279 - 344. ⟨10.1016/j.aim.2015.11.033⟩. ⟨hal-00790351⟩
127 Consultations
695 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More