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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001605 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545313114554368 |
|---|---|
| author | Prity Ghosh Uma Basu B. N. Mandal |
| author_facet | Prity Ghosh Uma Basu B. N. Mandal |
| author_sort | Prity Ghosh |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-81b2ce03836a43ecab9b954f77c5bf6b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-81b2ce03836a43ecab9b954f77c5bf6b2025-02-03T07:26:14ZengWileyInternational 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. |
| 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. |
| title | 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_short | 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 |
| topic | Stratified fluid Boussinesq approximation initial disturbance inertial surface. |
| url | http://dx.doi.org/10.1155/S0161171200001605 |
| work_keys_str_mv | AT prityghosh wavesduetoinitialdisturbancesattheinertialsurfaceinastratifiedfluidoffinitedepth AT umabasu wavesduetoinitialdisturbancesattheinertialsurfaceinastratifiedfluidoffinitedepth AT bnmandal wavesduetoinitialdisturbancesattheinertialsurfaceinastratifiedfluidoffinitedepth |