International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 4, Pages 265-276
doi:10.1155/S0161171200001605
Waves due to initial disturbances at the inertial surface
in a stratified fluid of finite depth
1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, India
2Department of Applied Mathematics, University of Calcutta, 92 A. P. C. Road, Calcutta 700 009, India
Received 12 December 1996; Revised 6 October 1997
Copyright © 2000 Prity Ghosh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.