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A Hamiltonian formulation of water waves with constant vorticity

Author

Summary, in English

We show that the governing equations for two-dimensional water waves with constant vorticity can be formulated as a canonical Hamiltonian system, in which one of the canonical variables is the surface elevation. This generalizes the well-known formulation due to Zakharov [32] in the irrotational case.

Department/s

Publishing year

2007

Language

English

Pages

303-315

Publication/Series

Letters in Mathematical Physics

Volume

79

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • hamiltonian formulation
  • water waves
  • constant vorticity

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 0377-9017