Water waves generated by disturbances at an ice cover
This paper is concerned with two-dimensional unsteady motion of water waves generated 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 initial value problem for the velocity po...
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ftrepec:oai:RePEc:hin:jijmms:372729 2024-04-14T08:13:14+00:00 Water waves generated by disturbances at an ice cover Paramita Maiti B. N. Mandal http://downloads.hindawi.com/journals/IJMMS/2005/372729.pdf http://downloads.hindawi.com/journals/IJMMS/2005/372729.xml unknown http://downloads.hindawi.com/journals/IJMMS/2005/372729.pdf http://downloads.hindawi.com/journals/IJMMS/2005/372729.xml article ftrepec 2024-03-19T10:31:55Z This paper is concerned with two-dimensional unsteady motion of water waves generated 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 initial 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 graphically depicted for two types of initial disturbances. Article in Journal/Newspaper Ice Sheet RePEc (Research Papers in Economics) Laplace ENVELOPE(141.467,141.467,-66.782,-66.782) |
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Open Polar |
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RePEc (Research Papers in Economics) |
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description |
This paper is concerned with two-dimensional unsteady motion of water waves generated 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 initial 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 graphically depicted for two types of initial disturbances. |
format |
Article in Journal/Newspaper |
author |
Paramita Maiti B. N. Mandal |
spellingShingle |
Paramita Maiti B. N. Mandal Water waves generated by disturbances at an ice cover |
author_facet |
Paramita Maiti B. N. Mandal |
author_sort |
Paramita Maiti |
title |
Water waves generated by disturbances at an ice cover |
title_short |
Water waves generated by disturbances at an ice cover |
title_full |
Water waves generated by disturbances at an ice cover |
title_fullStr |
Water waves generated by disturbances at an ice cover |
title_full_unstemmed |
Water waves generated by disturbances at an ice cover |
title_sort |
water waves generated by disturbances at an ice cover |
url |
http://downloads.hindawi.com/journals/IJMMS/2005/372729.pdf http://downloads.hindawi.com/journals/IJMMS/2005/372729.xml |
long_lat |
ENVELOPE(141.467,141.467,-66.782,-66.782) |
geographic |
Laplace |
geographic_facet |
Laplace |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
http://downloads.hindawi.com/journals/IJMMS/2005/372729.pdf http://downloads.hindawi.com/journals/IJMMS/2005/372729.xml |
_version_ |
1796311175223312384 |