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This article is cited in 4 scientific papers (total in 4 papers)
Analytical solutions of the internal gravity wave equation for a semi-infinite stratified layer of variable buoyancy
V. V. Bulatov, Yu. V. Vladimirov Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia
Abstract:
The problem of constructing asymptotics describing far-field internal gravity waves generated by an oscillating point source of perturbations moving in a vertically semi-infinite stratified layer of variable buoyancy is considered. For a model distribution of the buoyancy frequency, analytical solutions of the main boundary value problem are obtained, which are expressed in terms of Whittaker functions. An integral representation for the Green's function is obtained, and asymptotic solutions are constructed that describe the amplitude-phase characteristics of internal gravity wave fields in a semi-infinite stratified medium with a variable buoyancy frequency far away from the perturbation source.
Key words:
stratified medium, internal gravity waves, variable buoyancy frequency, Whittaker function.
Received: 23.03.2018 Revised: 11.01.2019 Accepted: 11.01.2019
Citation:
V. V. Bulatov, Yu. V. Vladimirov, “Analytical solutions of the internal gravity wave equation for a semi-infinite stratified layer of variable buoyancy”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019), 792–795; Comput. Math. Math. Phys., 59:5 (2019), 747–750
Linking options:
https://www.mathnet.ru/eng/zvmmf10892 https://www.mathnet.ru/eng/zvmmf/v59/i5/p792
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Abstract page: | 117 | References: | 20 |
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