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March  2009, 2(1): 37-53. doi: 10.3934/dcdss.2009.2.37

Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems

 1 Department of Mathematics, Purdue University, West Lafayette, IN 47907 2 Universite de Picardie Jules Verne, LAMFA UMR 7352, 33 rue Saint-Leu, 80039 Amiens cedex

Received  February 2008 Revised  July 2008 Published  January 2009

In this article, we consider the two-dimensional dissipative Boussinesq systems which model surface waves in three space dimensions. The long time asymptotics of the solutions for a large class of such systems are obtained rigorously for small initial data.
Citation: Min Chen, Olivier Goubet. Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems. Discrete & Continuous Dynamical Systems - S, 2009, 2 (1) : 37-53. doi: 10.3934/dcdss.2009.2.37
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