test_moissonnage_selune
type: Agent

Bistable transition fronts in R^N
type: Dataset
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: msc-35b08-35c07-35k57
keyword: liouville-type-results
keyword: traveling-fronts
keyword: propagation-speed
keyword: reaction-diffusion-equations
landing page: 0001-8708
description: 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.
issued: 2026-05-14T09:14:44.486388
language: en
modified: 2026-05-14T09:14:44.486395

Bistable transition fronts in R^N
type: Distribution
access URL: https://hal.science/hal-00790351
format: HTML
issued: 2026-05-14T09:14:44.495660
modified: 2026-05-14T09:14:44.465919