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
- Mathematics (Faculty of Sciences)
- Partial differential equations
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