English

Large time behavior of solutions to a dissipative Boussinesq system

Analysis of PDEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0607627,
  title  = {Large time behavior of solutions to a dissipative Boussinesq system},
  author = {Mostafa Abounouh and Abdelghafour Atlas and Olivier Goubet},
  journal= {arXiv preprint arXiv:math/0607627},
  year   = {2007}
}