Regularity of the attractor for kp1-Burgers equation: the periodic case

Mostafa Abounouh; Olivier Goubet

doi:10.3934/cpaa.2004.3.237

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2004, Volume 3, Issue 2: 237-252. Doi: 10.3934/cpaa.2004.3.237

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Regularity of the attractor for kp1-Burgers equation: the periodic case

Mostafa Abounouh^1, and
Olivier Goubet^2,

1.
Universite Cadi Ayyad, Faculte des Sciences et Techniques, Avenue Abdelkrim Khattabi, BP 549, Marrakech
2.
Universite de Picardie Jules Verne, LAMFA UMR 7352, 33 rue Saint-Leu, 80039 Amiens cedex

Received: May 31, 2003

Revised: November 30, 2003

Published: May 2004

Abstract Related Papers Cited by

Abstract

We prove the existence of a global attractor for a damped-forced Kadomtsev-Petviashvili equation. We also establish that this equation features an asymptotic smoothing effect. We use energy estimates in conjunction with a suitable splitting of the solutions.

Keywords:

Global attractor,
asymptotical smoothing effect.

Mathematics Subject Classification: 35Q53, 35B40.

Citation:

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