A Hamiltonian formulation of water waves with constant vorticity

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Abstract

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.

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Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)303-315
TidskriftLetters in Mathematical Physics
Volym79
Utgåva nummer3
StatusPublished - 2007
PublikationskategoriForskning
Peer review utfördJa