Two-component equations modelling water waves with constant vorticity

verfasst von

Joachim Escher, David Henry, Boris Kolev, Tony Lyons

Abstract

In this paper, we derive a two-component system of nonlinear equations which models two-dimensional shallow water waves with constant vorticity. Then, we prove well-posedness of this equation using a geometrical framework which allows us to recast this equation as a geodesic flow on an infinite-dimensional manifold. Finally, we provide a criterion for global existence.

Organisationseinheit(en)

Institut für Angewandte Mathematik

Externe Organisation(en)

University College Cork
Ecole Centrale Marseille
Dublin Institute of Technology

Typ

Artikel

Journal

Annali di Matematica Pura ed Applicata

Band

195

Seiten

249-271

Anzahl der Seiten

23

ISSN

0373-3114

Publikationsdatum

26.10.2014

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Angewandte Mathematik

Elektronische Version(en)

https://doi.org/10.1007/s10231-014-0461-z (Zugang: Unbekannt)