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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 6, Pages 1062–1086
(Mi zvmmf4580)
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This article is cited in 3 scientific papers (total in 3 papers)
Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources
L. V. Perova Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:
Propagation of small perturbations in a two-layer inviscid stratified fluid is studied. It is assumed that the higher density fluid occupies the lower unbounded half-space, while the lower density fluid occupies the upper unbounded half-space. The source of the excitation is a plane wave traveling along the interface of the fluids. An explicit analytical solution to the problem is constructed, and its existence and uniqueness are proved. The long-time wave pattern developing in the fluids is analyzed.
Key words:
stratified fluid, stream function, internal waves, surface waves, fluid dynamic equation, existence and uniqueness theorems, analytical solution.
Received: 14.12.2007
Citation:
L. V. Perova, “Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 1062–1086; Comput. Math. Math. Phys., 48:6 (2008), 1001–1023
Linking options:
https://www.mathnet.ru/eng/zvmmf4580 https://www.mathnet.ru/eng/zvmmf/v48/i6/p1062
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Statistics & downloads: |
Abstract page: | 220 | Full-text PDF : | 87 | References: | 38 | First page: | 2 |
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