Citation
C. Besse et D. Lannes, A numerical study of the long-wave short-wave resonance for 3D water waves, EUR J MEC B, 20(5), 2001, pp. 627-650
Citations number
20
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Mechanical Engineering
Journal title
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
ISSN journal
09977546
→ ACNP
Volume
20
Issue
5
Year of publication
2001
Pages
627 - 650
Database
ISI
SICI code
0997-7546(200109/10)20:5<627:ANSOTL>2.0.ZU;2-X
Abstract
When long-wave short-wave resonance occurs, Davey-Stewartson systems become
singular and have to be replaced by another system of equations. This is t
his system we study here numerically. We use a finite difference scheme for
which we prove existence and uniqueness of a solution. We also prove a sta
bility theorem and compute some invariants of the discrete system. We final
ly give and comment numerical experiments to study the behaviour of the sol
utions. (C) 2001 Editions scientifiques et medicales Elsevier SAS.