Stable model equations for long water waves

✍ Scribed by Broer, L. J. F. ;Groesen, E. W. C. ;Timmers, J. M. W.

• Publisher: Springer
• Year: 1976
• Tongue: English
• Weight: 649 KB
• Volume: 32
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00384124

✦ Synopsis

In this paper, a sequel to two others [1,2], some extensions and improvements of this earlier work are presented. Among these are: A more precise version of the proof of the basic canonical theorem, some considerations on conservation laws and their relation, a more complete treatment of the stability of the models, especially with respect to the wave amplitude, a short treatment of the Lagrangian version of the theory, a stable discrete model which might be useful for numerical experiments and an extension of the method to the case of slowly varying water depth.