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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2010, Volume 92, Issue 3, Pages 162–166
(Mi jetpl1372)
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This article is cited in 1 scientific paper (total in 1 paper)
PLASMA, GASES
Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth
V. P. Ruban L. D. Landau Institute for Theoretical Physics RAS,
Moscow, Russia
Abstract:
Exact Lagrangian in compact form is derived for planar internal waves in a two-fluid system with a relatively small density jump (the Boussinesq limit taking place in real oceanic conditions), in the presence of a background shear current of constant vorticity, and over arbitrary bottom profile. Long-wave asymptotic approximations of higher orders are derived from the exact Hamiltonian functional in a remarkably simple way, for two different parametrizations of the interface shape.
Received: 15.06.2010
Citation:
V. P. Ruban, “Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth”, Pis'ma v Zh. Èksper. Teoret. Fiz., 92:3 (2010), 162–166; JETP Letters, 92:3 (2010), 140–145
Linking options:
https://www.mathnet.ru/eng/jetpl1372 https://www.mathnet.ru/eng/jetpl/v92/i3/p162
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Abstract page: | 180 | Full-text PDF : | 66 | References: | 59 |
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