Long-time asymptotic behavior of two-dimensional dissipative
Min Chen - Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States (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
Received: February 2008; Revised: July 2008; Published: January 2009.