This paper is concerned with the generation of surface waves by an axially symmetric initial disturbance applied at an inertial surface in an ocean of finite depth. This initial disturbance can be either in the form of an impulse or an elevation or depression. The depression of the inertial surface is obtained as an infinite integral in each case. The method of stationary phase is applied to evaluate the integral for large values of time and distance. © 1990, Hindawi Publishing Corporation. All rights reserved.

B N MANDAL

N K GHOSH

Fulltext

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

&nbsp;

The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

&nbsp;

It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Generations of waves at an inertial surface due to explosions.

International Journal of Mathematics and Mathematical Sciences

Laplace transform technique is used to solve an initial value problem describing waves generated by a disturbance created at the surface of water covered by an inertial surface composed of a thin but uniform distribution of floating particles. Green's integral theorem produces the transformed potential function from which the form of the inertial surface is obtained as an infinite integral after taking Laplace inversion. The method of stationary phase is then employed to evaluate this integral approximately for large time and distance. © 1988 Martinus Nijhoff Publishers.

Applied Scientific Research

Water waves generated by disturbance at an inertial surface

The velocity potential due to the presence of a horizontal circular ring of wave sources of time-dependent strength in a fluid of finite constant depth with an inertial surface composed of uniformly distributed floating particles is obtained when the effect of surface tension at the inertial surface is included. © 1987.

International Journal of Engineering Science

Ring source potentials in a fluid with an inertial surface in the presence of surface tension

Journal of the Australian Mathematical Society Series B-Applied Mathematics

A NOTE ON THE SINGULARITIES IN THE THEORY OF WATER-WAVES WITH AN INERTIAL SURFACE

Mechanics Research Communications

Ring source potential in a liquid with an inertial surface

The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

On the generation of water waves at an inertial surface

Generations of Waves At an Inertial Surface Due to Explosions

Journal	International Journal of Mathematics and Mathematical Sciences
Publisher	-
ISSN	0161-1712
Open Access	Yes