Internal Gravity Waves in a Stratified Fluid with Smoothly Varying Bottom

dc.creatorBulatov, Vitaly V.
dc.creatorVladimirov, Yuriy V.
dc.creatorVakorin, Vasily A.
dc.date2004-11-01
dc.date.accessioned2026-07-07T05:53:17Z
dc.date.available2026-07-07T05:53:17Z
dc.descriptionThe far field asymptotic of internal waves is constructed for the case when a point source of mass moves in a layer of arbitrarily stratified fluid with slowly varying bottom. The solutions obtained describe the far field both near the wave fronts of each individual mode and away from the wave fronts and are expansions in Airy or Fresnel waves with the argument determined from the solution of the corresponding eikonal equation. The amplitude of the wave field is determined from the energy conservation law along the ray tube. For model distributions of the bottom shape and the stratification describing the typical pattern of the ocean shelf exact analytic expressions are obtained for the rays, and the properties of the phase structure of the wave field are analyzed.
dc.description22 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0411016
dc.identifierhttp://arxiv.org/abs/physics/0411016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86588
dc.subjectFluid Dynamics
dc.titleInternal Gravity Waves in a Stratified Fluid with Smoothly Varying Bottom
dc.typetext

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