Remote stationary wave field generated by local perturbing sources in a flow of stratified fluid
type: Item
instance of: scholarly article
title: Remote stationary wave field generated by local perturbing sources in a flow of stratified fluid
zbMATH Open document ID: 0628.76109
DOI: 10.1016/0021-8928(86)90086-9
author: V. F. Sannikov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: A linear formulation is used to study the problem of stationary waves formed in a uniform flow of an inviscid incompressible vertically stratified fluid past a point source or a mass dipole. Formulas are derived representing the characteristics of the wave field in the form of the sum of single integrals. A method is developed for constructing complete asymptotic expansions of the integrals obtained for large distances from the wave generator, including uniform expansions near the leading fronts of the separate modes. Approximate solutions of the problem in question exist. In the case of a deep liquid the asymptotic form uniform in the neighbourhood of the leading fronts is expressed in terms of Fresnel integrals, and in the case of a liquid of finite depth by Airy functions.
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76B55
zbMATH DE Number: 4022942
zbMATH Keywords: stationary waves
zbMATH Keywords: inviscid incompressible vertically stratified fluid
zbMATH Keywords: point source
zbMATH Keywords: mass dipole
zbMATH Keywords: complete asymptotic expansions
zbMATH Keywords: Fresnel integrals
zbMATH Keywords: Airy functions
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90086-9
OpenAlex ID: W2065056584
cites work: Plane problem of wave motions occurring in a continuously stratified fluid during the flow around a submerged body
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cites work: Q3913845
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description: scientific article; zbMATH DE number 4022942