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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 4, Pages 151–161
(Mi pmtf1936)
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This article is cited in 6 scientific papers (total in 6 papers)
Asymptotic models of internal stationary waves
N. I. Makarenko, Zh. L. Maltseva Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
Equations of stationary long waves on the interface between a homogeneous fluid and an exponentially stratified fluid are considered. An equation of the second-order approximation of the shallow water theory inheriting the dispersion properties of the full Euler equations is used as the basic model. A family of asymptotic submodels is constructed, which describe three different types of bifurcation of solitary waves at the boundary points of the continuous spectrum of the linearized problem.
Keywords:
two-layer fluid, exponential stratification, solitary waves.
Received: 16.07.2007 Accepted: 23.11.2007
Citation:
N. I. Makarenko, Zh. L. Maltseva, “Asymptotic models of internal stationary waves”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 151–161; J. Appl. Mech. Tech. Phys., 49:4 (2008), 646–654
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https://www.mathnet.ru/eng/pmtf1936 https://www.mathnet.ru/eng/pmtf/v49/i4/p151
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Abstract page: | 23 | Full-text PDF : | 13 |
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