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Springer (part of Springer Nature), Journal of Mathematical Fluid Mechanics, 2(10), p. 224-237

DOI: 10.1007/s00021-006-0230-x

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Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

Journal article published in 2006 by Adrian Constantin ORCID, Rossen I. Ivanov, Emil M. Prodanov
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves. ; Comment: 12 pages, AMS-LaTeX, no figures. To appear in Journal of Mathematical Fluid Mechanics