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International Journal of Mathematics and Mathematical Sciences
Volume 24, Issue 4, Pages 265-276

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 Hindawi Publishing Corporation. 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.


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.