HAL : hal-00280774, version 1

Fiche détaillée

Récupérer au format BibTeX - EndNote - TEI - RefWorks -

Weakly nonlinear surface waves and subsonic phase boundaries

Sylvie Benzoni-Gavage 1, M.D Rosini 2

(19/05/2008)

The aim of this work is twofold. In a first, abstract part, it is shown how to derive an asymptotic equation for the amplitude of weakly nonlinear surface waves associated with neutrally stable undercompressive shocks. The amplitude equation obtained is a nonlocal generalization of Burgers' equation, for which an explicit stability condition is exhibited. This is an extension of earlier results by J. Hunter. The second part is devoted to ‘ideal' subsonic phase boundaries, which were shown by the first author to be associated with linear surface waves. The amplitude equation for corresponding weakly nonlinear surface waves is calculated explicitly and the stability condition is investigated analytically and numerically.

1 :	Institut Camille Jordan (ICJ)
	CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées de Lyon
2 :	University of Brescia Department of mathematics
	University of Brescia

Domaine

:

Mathématiques/Equations aux dérivées partielles

hal-00280774, version 1

http://hal.archives-ouvertes.fr/hal-00280774

oai:hal.archives-ouvertes.fr:hal-00280774

Contributeur : Fatine Latif <>

Soumis le : Lundi 19 Mai 2008, 16:43:46

Dernière modification le : Lundi 19 Mai 2008, 18:38:05