Remarques sur l'homogénéisation de certains problèmes quasi-linéaires
Page 1
Displaying 1 – 4 of 4
Remarques sur l'optique géométrique non linéaire multidimensionnelle
J. L. Joly, G. Métivier, J. Rauch (1990/1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems
Walid Ben Youssef, Thierry Colin (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems
Walid Ben Youssef, Thierry Colin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, we study the long wave approximation for quasilinear symmetric hyperbolic systems. Using the technics developed by Joly-Métivier-Rauch for nonlinear geometrical optics, we prove that under suitable assumptions the long wave limit is described by KdV-type systems. The error estimate if the system is coupled appears to be better. We apply formally our technics to Euler equations with free surface and Euler-Poisson systems. This leads to new systems of KdV-type.
Currently displaying 1 – 4 of 4
Page 1