We investigate the asymptotic behaviour of the subsonic travelling waves of finite energy in the Gross-Pitaevskii equation in dimension larger than two. In particular, we give their first-order asymptotics in the case they are axisymmetric, and link it to their energy and momentum
31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary...
AbstractThe asymptotic conjugation relation limt→±∞ ‖g(χt)M(eitp)ƒ − M(g(∇ρ))M(eitp)ƒ‖2 = 0 is estab...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling...
This PhD thesis is devoted to the travelling waves in the Gross-Pitaevskii equation, and the solitar...
This paper presents recent results concerning the existence and qualitative properties of travelling...
We investigate the asymptotic behaviour of the localised solitary waves for the generalised Kadomtse...
International audienceWe study long-wavelength asymptotics for the Gross-Pitaevskii equation corresp...
Abstract. In this paper we study the existence of finite energy traveling waves for the Gross-Pitaev...
We prove that the Ginzburg-Landau energy of non-constant travelling waves of the Gross-Pitaevskii eq...
We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of...
International audienceExplicit solitary waves are known to exist for the Kadomtsev-Petviashvili-I (K...
We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimens...
本文的目標是探討Fabrice Bethuel,Philippe Gravejat,和 Jean-Claude Saut 在Gross- Pitaevskii方程式中關於二,三維度的行波解 c∂1u ...
In this thesis, we focus on the study of travelling waves in the Gross-Pitaevskii equation in dimens...
31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary...
AbstractThe asymptotic conjugation relation limt→±∞ ‖g(χt)M(eitp)ƒ − M(g(∇ρ))M(eitp)ƒ‖2 = 0 is estab...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling...
This PhD thesis is devoted to the travelling waves in the Gross-Pitaevskii equation, and the solitar...
This paper presents recent results concerning the existence and qualitative properties of travelling...
We investigate the asymptotic behaviour of the localised solitary waves for the generalised Kadomtse...
International audienceWe study long-wavelength asymptotics for the Gross-Pitaevskii equation corresp...
Abstract. In this paper we study the existence of finite energy traveling waves for the Gross-Pitaev...
We prove that the Ginzburg-Landau energy of non-constant travelling waves of the Gross-Pitaevskii eq...
We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of...
International audienceExplicit solitary waves are known to exist for the Kadomtsev-Petviashvili-I (K...
We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimens...
本文的目標是探討Fabrice Bethuel,Philippe Gravejat,和 Jean-Claude Saut 在Gross- Pitaevskii方程式中關於二,三維度的行波解 c∂1u ...
In this thesis, we focus on the study of travelling waves in the Gross-Pitaevskii equation in dimens...
31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary...
AbstractThe asymptotic conjugation relation limt→±∞ ‖g(χt)M(eitp)ƒ − M(g(∇ρ))M(eitp)ƒ‖2 = 0 is estab...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...