Global attractor for damped forced nonlinear logarithmic Schrödinger equations

Olivier Goubet; Ezzeddine Zahrouni

doi:10.3934/dcdss.2020393

Article Contents

2021, Volume 14, Issue 8: 2933-2946. Doi: 10.3934/dcdss.2020393

This issue Previous Article Characterisation of the pressure term in the incompressible Navier–Stokes equations on the whole space Next Article Large-time existence for one-dimensional Green-Naghdi equations with vorticity

Global attractor for damped forced nonlinear logarithmic Schrödinger equations

Olivier Goubet^1, , and
Ezzeddine Zahrouni^2,

1.
LAMFA, UMR 7352 CNRS UPJV, 33 rue St Leu, 80039, Amiens Cedex, France
2.
Equipe de recherche Analyse, Probabilités et Fractals, Av. de l'environnement, 5000 Monastir, Tunisie

^* Corresponding author: Olivier Goubet
^* Corresponding author: Olivier Goubet

Received: October 1, 2019

Revised: February 1, 2020

Early access: June 6, 2020

Published online: June 6, 2020

This article is dedicated to the memory of Ezzeddine Zahrouni who passed away in december 2018..

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Abstract

We consider here a damped forced nonlinear logarithmic Schrödinger equation in $ \mathbb{R}^N $. We prove the existence of a global attractor in a suitable energy space. We complete this article with some open issues for nonlinear logarithmic Schrödinger equations in the framework of infinite-dimensional dynamical systems.

Keywords:

Global attractor,
damped forced nonlinear logarithmic Schrodinger equations.

Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B41.

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References

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