Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain

Brahim Alouini

doi:10.3934/cpaa.2015.14.1781

Article Contents

2015, Volume 14, Issue 5: 1781-1801. Doi: 10.3934/cpaa.2015.14.1781

This issue Previous Article Asymptotic profiles for a strongly damped plate equation with lower order perturbation Next Article Positive solution for quasilinear Schrödinger equations with a parameter

Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain

Brahim Alouini^1,

1.
Unité de recherche: Ondelettes et Fractals, Faculté des Sciences de Monastir, Av. de l'environnement, 5000 Monastir

Received: September 2014

Revised: March 2015

Published: September 2015

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Abstract

We study the long-time behavior of the solutions to a nonlinear damped driven Schrödinger type equation with quadratic potential on a strip. We prove that this behavior is described by a regular compact global attractor with finite fractal dimension.

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Mathematics Subject Classification: Primary: 35L05, 35Q55; Secondary: 76B03.

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