Symmetric waves are traveling waves

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that horizontally symmetric water waves are traveling waves. The result is valid for the Euler equations, and is based on a general principle that applies to a large class of nonlinear partial differential equations, including some of the most famous model equations for water waves. A detailed analysis is given for weak solutions of the Camassa-Holm equation. In addition, we establish the existence of nonsymmetric linear rotational waves for the Euler equations.

Keywords

Analysis of PDEs, 76B15; 35Q35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/222146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.0546
 http://arxiv.org/abs/0903.0546

Collections

arXiv