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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2000-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001605 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |