Add to ORKGAbstract. In this article, we consider the two-dimensional dissipative Boussi-nesq 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. 1. Introduction. 1.1. Damped Boussinesq systems. There are three important factors associ-ated with wave propagation: dispersion, dissipation and nonlinearity. In many real physical situations, it is observed that the effect of damping (which is always present in reality) is at least comparable to the effects of dispersion and nonlinearity [5]
Abstract. For the damped Boussinesq equation utt−2butxx = −αuxxxx+ uxx + β(u2)xx, x ∈ (0, π), t> ...
In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being ...
Abstract. This project aims to cast light on a Boussinesq system of equations modelling two-way prop...
This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, T. Math...
The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two s...
Abstract. The Cauchy problem for the damped Boussinesq equation with small initial data is considere...
In this paper we deal with the long time existence for the Cauchy problem associated to some asympto...
Communicated by G. Iooss Summary. Considered herein are a number of variants of the classical Boussi...
This paper is concerned with a two dimensional Whitham-Boussinesq system modelling surface waves of ...
A three-parameter family of Boussinesq type systems in two space dimensions is considered. These sys...
In this paper we deal with the long time existence for the Cauchy problem associated to BBM-type Bou...
We study here some asymptotic models for the propagation of internal and surface waves in a two-flui...
A family of Boussinesq systems has recently been proposed by Bona, Chen, and Saut in [J.L. Bona, M. ...
Under embargo until: 2023-11-08Consideration is given to three different full dispersion Boussinesq ...
This article deals with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations...
Abstract. For the damped Boussinesq equation utt−2butxx = −αuxxxx+ uxx + β(u2)xx, x ∈ (0, π), t> ...
In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being ...
Abstract. This project aims to cast light on a Boussinesq system of equations modelling two-way prop...
This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, T. Math...
The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two s...
Abstract. The Cauchy problem for the damped Boussinesq equation with small initial data is considere...
In this paper we deal with the long time existence for the Cauchy problem associated to some asympto...
Communicated by G. Iooss Summary. Considered herein are a number of variants of the classical Boussi...
This paper is concerned with a two dimensional Whitham-Boussinesq system modelling surface waves of ...
A three-parameter family of Boussinesq type systems in two space dimensions is considered. These sys...
In this paper we deal with the long time existence for the Cauchy problem associated to BBM-type Bou...
We study here some asymptotic models for the propagation of internal and surface waves in a two-flui...
A family of Boussinesq systems has recently been proposed by Bona, Chen, and Saut in [J.L. Bona, M. ...
Under embargo until: 2023-11-08Consideration is given to three different full dispersion Boussinesq ...
This article deals with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations...
Abstract. For the damped Boussinesq equation utt−2butxx = −αuxxxx+ uxx + β(u2)xx, x ∈ (0, π), t> ...
In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being ...
Abstract. This project aims to cast light on a Boussinesq system of equations modelling two-way prop...