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

Pages: 37 - 53, Volume 2, Issue 1, March 2009

doi:10.3934/dcdss.2009.2.37       Abstract        Full Text (290.2K)       Related Articles

Min Chen - Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States (email)
Olivier Goubet - Universite de Picardie Jules Verne, LAMFA UMR 6140, 33 rue Saint-Leu, 80039 Amiens cedex, France (email)

Abstract: 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.

Keywords:  waves, two-way propagation, Boussinesq systems, dissipation, long-time asymptotics.
Mathematics Subject Classification:  Primary: 35Q35, 35Q53,76B15; Secondary: 65M70.

Received: February 2008;      Revised: July 2008;      Published: January 2009.