12 citations · 27 across the 5 of their papers we have counts for
5 papers
Construction of minimizing travelling waves for the Gross-Pitaevskii equation on
André de Laire, Philippe Gravejat, Didier Smets
As a sequel to our previous analysis in [9] arXiv:2202.09411 on the Gross-Pitaevskii equation on the product space , we construct a branch of finite e…
Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
André de Laire, Guillaume Dujardin, Salvador López-Martínez
The existence and decay properties of dark solitons for a large class of nonlinear nonlocal Gross-Pitaevskii equations with nonzero boundary conditions in dimension one has been es…
Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation
André de Laire, Salvador López-Martínez
We consider the nonlocal Gross-Pitaevskii equation that models a Bose gas with general nonlocal interactions between particles in one spatial dimension, with constant density far a…
Recent results for the Landau-Lifshitz equation
André de Laire
We give a survey on some recent results concerning the Landau-Lifshitz equation, a fundamental nonlinear PDE with a strong geometric content, describing the dynamics of the magneti…
Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity
André de Laire
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that…