Titre :

Logarithmic Gross-Pitaevskii equation

Auteur(s) :

Carles, Rémi [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Ferriere, Guillaume [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]
Institut de Recherche Mathématique Avancée [IRMA]

Titre de la revue :

Communications in Partial Differential Equations

Pagination :

88-120

Éditeur :

Taylor & Francis

Date de publication :

2024-02-06

ISSN :

0360-5302

Mot(s)-clé(s) en anglais :

Gross-Pitaevskii
logarithmic nonlinearity
Cauchy problem
solitary wave
traveling wave

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

We consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary conditions at infinity. We prove that the Cauchy problem is globally well posed in the energy space, which turns out to correspond ...
Lire la suite >We consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary conditions at infinity. We prove that the Cauchy problem is globally well posed in the energy space, which turns out to correspond to the energy space for the standard Gross-Pitaevskii equation with a cubic nonlinearity, in small dimensions. We then characterize the solitary and travelling waves in the one dimensional case.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation

Commentaire :

31 pages. Accepted in Communications in Partial Differential Equations and published online on 29 Dec 2023.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL