Boussinesq/Boussinesq systems for internal waves  with a free surface, and the KdV approximation

Vincent Duchêne

Displaying similar documents to “Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation”

Numerical comparisons of two long-wave limit models

Stéphane Labbé, Lionel Paumond (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

The Benney-Luke equation (BL) is a model for the evolution of three-dimensional weakly nonlinear, long water waves of small amplitude. In this paper we propose a nearly conservative scheme for the numerical resolution of (BL). Moreover, it is known (Paumond, (2003) 1039–1064; Pego and Quintero, (1999) 476–496) that (BL) is linked to the Kadomtsev-Petviashvili equation for almost one-dimensional waves propagating in one direction. We study here numerically...

A multi-D model for Raman amplification

Mathieu Colin, Thierry Colin (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, (2004) 297–330; Colin and Colin, (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect...

Finite element approximations of a glaciology problem

Sum S. Chow, Graham F. Carey, Michael L. Anderson (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this paper we study a model problem describing the movement of a glacier under Glen's flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, (1992) 769–780] and Liu and Barrett [Liu and Barrett, (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and Rappaz,...