Regularity of the attractor for a Bose-Einstein equation in a two dimensional unbounded domain

Brahim Alouini; Olivier Goubet

doi:10.3934/dcdsb.2014.19.651

Article Contents

2014, Volume 19, Issue 3: 651-677. Doi: 10.3934/dcdsb.2014.19.651

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Regularity of the attractor for a Bose-Einstein equation in a two dimensional unbounded domain

Brahim Alouini^1, and
Olivier Goubet^2,

1.
Unité de recherche: Ondelettes et Fractals, Faculté des Sciences de Monastir, Av. de l'environnement, 5000 Monastir
2.
LAMFA, UMR CNRS 7352, Université de Picardie Jules Verne, 33 rue St Leu, 80039, Amiens Cedex

Received: September 30, 2013

Revised: October 31, 2013

Published: April 2014

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Abstract

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

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

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References

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