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


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2009-04

AUTHORS

Adrian Constantin, David Lannes

ABSTRACT

In recent years two nonlinear dispersive partial differential equations have attracted much 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 accommodate wave breaking phenomena. More... »

PAGES

165-186

References to SciGraph publications

  • 2008-03. Large time existence for 3D water-waves and asymptotics in INVENTIONES MATHEMATICAE
  • 2002-08. Stability of the Camassa-Holm solitons in JOURNAL OF NONLINEAR SCIENCE
  • 2007-02. Global Conservative Solutions of the Camassa–Holm Equation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1998-09. Wave breaking for nonlinear nonlocal shallow water equations in ACTA MATHEMATICA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00205-008-0128-2

    DOI

    http://dx.doi.org/10.1007/s00205-008-0128-2

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1034110738


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