6 citations · 8 across the 4 of their papers we have counts for
4 papers
Global attractor for weakly damped Nonlinear Schrödinger equations in
Olivier Goubet, Luc Molinet
We prove that the weakly damped nonlinear Schrödinger flow in provides a dynamical system which possesses a global attractor. The proof relies on the continuity o…
Long-Time Asymptotic Behavior of Dissipative Boussinesq System
Min Chen, Olivier Goubet
In this paper, we study various dissipative mechanics associated with the Boussinesq systems which model two-dimensional small amplitude long wavelength water waves. We will show t…
Large time behavior of solutions to a dissipative Boussinesq system
Mostafa Abounouh, Abdelghafour Atlas, Olivier Goubet
In this article we consider the Boussinesq system supplemented with some dissipation terms. These equations model the propagation of a waterwave in shallow water. We prove the exis…
Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces
Olivier Goubet
We consider the so-called Gross-Pitaevskii equations supplemented with non-standard boundary conditions. We prove two mathematical results concerned with the initial value problem…