Two-component equations modelling water waves with constant vorticity

Joachim Escher, David Henry, Boris Kolev, Tony Lyons

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)249-271
Number of pages23
JournalAnnali di Matematica Pura ed Applicata
Volume195
Issue number1
DOIs
Publication statusPublished - 01 Feb 2016
Externally publishedYes

Keywords

  • Diffeomorphism group
  • Euler equation
  • Model equations
  • Vorticity
  • Water waves

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