WATER WAVES GENERATED BY DISTURBANCES AT

• Main Authors: Paramita Maiti, B. N. Mandal
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Published: 2004
• Subjects: Laplace; Ice Sheet
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.526.3473; http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume2005_5/746.pdf

This paper is concerned with two-dimensional unsteady motion of water waves gener-ated by an initial disturbance created at an ice sheet covering the water. The ice cover is modeled as a thin elastic plate. Using linear theory, the problem is formulated as an ini-tial value problem for the velocity potential describing the motion in the liquid. In the mathematical analysis, the Laplace and Fourier transform techniques have been utilized to obtain the depression of the ice-covered surface in the form of an infinite integral. For the special case of initial disturbance concentrated at the origin, taken on the ice cover, this integral is evaluated asymptotically by the method of a stationary phase for a long time and large distance from the origin. The form of the ice-covered surface is graphi-cally depicted for two types of initial disturbances. 1.