Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth

This paper is concerned with a Cauchy-Poisson problem in a weakly stratified ocean of uniform finite depth bounded above by an inertial surface (IS). The inertial surface is composed of a thin but uniform distribution of noninteracting materials. The techniques of Laplace transform in time and eithe...

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Main Authors:	Prity Ghosh, Uma Basu, B. N. Mandal
Format:	Article
Language:	English
Published:	Hindawi Limited 2000-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	Stratified fluid Boussinesq approximation initial disturbance inertial surface.
Online Access:	http://dx.doi.org/10.1155/S0161171200001605

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spelling	doaj-81b2ce03836a43ecab9b954f77c5bf6b2020-11-24T22:19:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124426527610.1155/S0161171200001605Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depthPrity Ghosh0Uma Basu1B. N. Mandal2Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, IndiaDepartment of Applied Mathematics, University of Calcutta, 92 A. P. C. Road, Calcutta 700 009, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, IndiaThis paper is concerned with a Cauchy-Poisson problem in a weakly stratified ocean of uniform finite depth bounded above by an inertial surface (IS). The inertial surface is composed of a thin but uniform distribution of noninteracting materials. The techniques of Laplace transform in time and either Green's integral theorem or Fourier transform have been utilized in the mathematical analysis to obtain the form of the inertial surface in terms of an integral. The asymptotic behaviour of the inertial surface is obtained for large time and distance and displayed graphically. The effect of stratification is discussed.http://dx.doi.org/10.1155/S0161171200001605Stratified fluidBoussinesq approximation initial disturbanceinertial surface.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Prity Ghosh Uma Basu B. N. Mandal
spellingShingle	Prity Ghosh Uma Basu B. N. Mandal Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth International Journal of Mathematics and Mathematical Sciences Stratified fluid Boussinesq approximation initial disturbance inertial surface.
author_facet	Prity Ghosh Uma Basu B. N. Mandal
author_sort	Prity Ghosh
title	Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth
title_short	Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth
title_full	Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth
title_fullStr	Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth
title_full_unstemmed	Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth
title_sort	waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2000-01-01
description	This paper is concerned with a Cauchy-Poisson problem in a weakly stratified ocean of uniform finite depth bounded above by an inertial surface (IS). The inertial surface is composed of a thin but uniform distribution of noninteracting materials. The techniques of Laplace transform in time and either Green's integral theorem or Fourier transform have been utilized in the mathematical analysis to obtain the form of the inertial surface in terms of an integral. The asymptotic behaviour of the inertial surface is obtained for large time and distance and displayed graphically. The effect of stratification is discussed.
topic	Stratified fluid Boussinesq approximation initial disturbance inertial surface.
url	http://dx.doi.org/10.1155/S0161171200001605
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_version_	1725777667590979584

Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth

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