Large time behavior of solutions to a dissipative Boussinesq system

2006/07/25 by Abounouh, Mostafa, Atlas, Abdelghafour, Goubet, Olivier
#35Q35 #35Q53 #37L30 #37L50 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0607627

Abstract

In this article we consider the Boussinesq system supplemented with some dissipation terms. These equations model the propagation of a waterwave in shallow water. We prove the existence of a global smooth attractor for the corresponding dynamical system.

Related

• Long-Time Asymptotic Behavior of Dissipative Boussinesq System
• On the Attractor for the Semi-Dissipative Boussinesq Equations
• The Cauchy problem on large time for surface waves type Boussinesq systems II
• Long time existence for a two-dimensional strongly dispersive Boussinesq system
• Long time behavior of solutions to the generalized Boussinesq equation