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June  2004, 3(2): 237-252. doi: 10.3934/cpaa.2004.3.237

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, Morocco
2. 

Universite de Picardie Jules Verne, LAMFA UMR 7352, 33 rue Saint-Leu, 80039 Amiens cedex, France

Received  June 2003 Revised  December 2003 Published  March 2004

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, 35B4.
Citation: Mostafa Abounouh, Olivier Goubet. Regularity of the attractor for kp1-Burgers equation: the periodic case. Communications on Pure and Applied Analysis, 2004, 3 (2) : 237-252. doi: 10.3934/cpaa.2004.3.237
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