Published in

Springer, Archive for Rational Mechanics and Analysis, 1(192), p. 165-186, 2008

DOI: 10.1007/s00205-008-0128-2

Links

Tools

Export citation

Search in Google Scholar

The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

Journal article published in 2008 by Adrian Constantin ORCID, David Lannes
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Upload
Orange circle
Postprint: archiving restricted
Upload
Red circle
Published version: archiving forbidden
Policy details
Data provided by SHERPA/RoMEO

Abstract

In recent years two nonlinear dispersive partial differential equations have attracted a lot of attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than the classical nonlinear dispersive Benjamin-Bona-Mahoney and Korteweg-de Vries equations. In particular, they accomodate wave breaking phenomena.