The study of spinning systems plays a question of interest in several research branches in
physics. It allows the understanding of simple classical mechanical systems but also …

This article is devoted to studying the model of two-dimensional attractive Bose–Einstein
condensates in a trap V (x) rotating at the velocity Ω Ω. This model can be described by the …

This paper is concerned with ground states of two-component Bose gases confined in a
harmonic trap V (x)= x 1 2+ Λ 2 x 2 2 rotating at the velocity Ω> 0, where Λ≥ 1 and (x 1, x …

We study the existence and stability of standing waves associated with the Cauchy problem
for the nonlinear Schrödinger equation (NLS) with a critical rotational speed and an axially …

We give an example of a linear, time-dependent, Schrödinger operator with optimal growth
of Sobolev norms. The construction is explicit, and relies on a comprehensive study of the …

We study coupled systems of nonlinear lowest Landau level equations, for which we prove
global existence results with polynomial bounds on the possible growth of Sobolev norms of …

We study ground states of two-dimensional Bose-Einstein condensates with attractive
interactions in a trap V (x) rotating at the velocity Ω Ω. It is known that there exists a critical …

Abstract As a continuation of [34], we consider ground states of rotating Bose-Einstein
condensates with attractive interactions in non-radially harmonic traps V (x)= x 1 2+ Λ 2 x 2 …

We consider the focusing NLS with an angular momentum and a harmonic potential, which
models Bose–Einstein condensate under a rotating magnetic trap. We give a sharp …

We consider the computations of the action ground state for a rotating nonlinear Schrödinger
equation. It reads as a minimization of the action functional under the Nehari constraint. In …