Internal Gravitational Waves Excited by an Oscillating Source of Perturbations Moving with Subcritical Velocity
V. V. Bulatov, Yu. V. Vladimirov
Ishlinsky Institute of Problems of Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
Keywords: стратифицированная среда, внутренние гравитационные волны, дальние поля, равномерная асимптотика, волновой фронт, stratified medium, internal gravitational waves, far fields, uniform asymptotics, wave front
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.
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