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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 5, Pages 903–922
(Mi zvmmf295)
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This article is cited in 3 scientific papers (total in 3 papers)
Oscillations of a rotating stratified fluid with its free surface 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 weakly stratified inviscid fluid rotating at a constant angular velocity in the lower half-space is studied. The source of excitation is a plane wave traveling on the free surface of the fluid. An explicit analytical solution to the problem is constructed. Existence and uniqueness theorems are proved. The long-time wave pattern in the fluid is analyzed.
Key words:
stratified fluid, fluid's rotation frequency, stream function, internal waves, surface waves, fluid dynamic equation.
Received: 14.12.2006
Citation:
L. V. Perova, “Oscillations of a rotating stratified fluid with its free surface excited by moving sources”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007), 903–922; Comput. Math. Math. Phys., 47:5 (2007), 863–881
Linking options:
https://www.mathnet.ru/eng/zvmmf295 https://www.mathnet.ru/eng/zvmmf/v47/i5/p903
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