User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity

Primary tabs

Bonheure, Denis [UCL]

We study the existence of stationary solutions of a class of diffusion equations related to the so-called extended Fisher-Kolmogorov equation and the Swift-Hohenberg equation. We prove the existence of multitransition kinks and pulses. These solutions are obtained as local minima of the associated functional. For the Swift-Hohenberg equation, our result partially proves a numerical conjecture. (C) 2003 Elsevier SAS. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2004
Language Anglais
Journal information "Annales de l'Institut Henri Poincaré - C - Non Linear Analysis" - Vol. 21, no. 3, p. 319-340 (2004)
Peer reviewed yes
Publisher Gauthier-villars/editions Elsevier (Paris)
issn 0294-1449
e-issn 1873-1430
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords multitransition heteroclinics and homoclinics ; Swift-Hohenberg equation ; minimization ; saddle-focus equilibrium
Links
Bibliographic reference Bonheure, Denis. Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. In: Annales de l'Institut Henri Poincaré - C - Non Linear Analysis, Vol. 21, no. 3, p. 319-340 (2004)
Permanent URL http://hdl.handle.net/2078.1/40108