Differential and Integral Equations
- Differential Integral Equations
- Volume 20, Number 7 (2007), 755-768.
Large-time behavior of solutions to a dissipative Boussinesq system
In this article we consider the Boussinesq system supplemented with some dissipation terms. These equations model the propagation of a water wave in shallow water. We prove the existence of a global smooth attractor for the corresponding dynamical system.
Differential Integral Equations Volume 20, Number 7 (2007), 755-768.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions 35B41: Attractors 37N10: Dynamical systems in fluid mechanics, oceanography and meteorology [See mainly 76-XX, especially 76D05, 76F20, 86A05, 86A10] 76D33: Waves
Abounouh, M.; Atlas, A.; Goubet, O. Large-time behavior of solutions to a dissipative Boussinesq system. Differential Integral Equations 20 (2007), no. 7, 755--768. https://projecteuclid.org/euclid.die/1356039408.