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This article is cited in 1 scientific paper (total in 1 paper)
Internal gravitational waves excited by an oscillating source of perturbations moving with subcritical velocity
V. V. Bulatov, Yu. V. Vladimirov Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
Abstract:
The problem of constructing asymptotics of the far fields of internal gravitational waves generated by an oscillating localized source of perturbations moving in a stratified flow of finite depth. The velocity of the perturbation source does not exceed the maximum group velocity of an individual wave mode. The wave pattern consists of waves of two types: annular and wedge-shaped. Solutions are obtained that describe the asymptotic behavior of ring waves, which are expressed in terms of the Hankel function. The asymptotics of wedge-shaped waves are expressed in terms of the Airy function and its derivative.
Keywords:
stratified medium, internal gravitational waves, far fields, uniform asymptotics, wave front.
Received: 06.07.2016 Revised: 20.09.2016
Citation:
V. V. Bulatov, Yu. V. Vladimirov, “Internal gravitational waves excited by an oscillating source of perturbations moving with subcritical velocity”, Prikl. Mekh. Tekh. Fiz., 58:6 (2017), 50–57; J. Appl. Mech. Tech. Phys., 58:6 (2017), 997–1003
Linking options:
https://www.mathnet.ru/eng/pmtf638 https://www.mathnet.ru/eng/pmtf/v58/i6/p50
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