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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International Journal of Mathematics and Mathematical Sciences
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fthindawi:oai:hindawi.com:10.1155/IJMMS.2005.737 2023-05-15T16:40:47+02:00 Water waves generated by disturbances at an ice cover Paramita Maiti B. N. Mandal 2005 https://doi.org/10.1155/IJMMS.2005.737 en eng International Journal of Mathematics and Mathematical Sciences https://doi.org/10.1155/IJMMS.2005.737 Copyright © 2005 Hindawi Publishing Corporation. 2005 fthindawi https://doi.org/10.1155/IJMMS.2005.737 2019-05-25T20:19:43Z 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. Other/Unknown Material Ice Sheet Hindawi Publishing Corporation Laplace ENVELOPE(141.467,141.467,-66.782,-66.782) International Journal of Mathematics and Mathematical Sciences 2005 5 737 746 |
institution |
Open Polar |
collection |
Hindawi Publishing Corporation |
op_collection_id |
fthindawi |
language |
English |
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. |
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 |
publisher |
International Journal of Mathematics and Mathematical Sciences |
publishDate |
2005 |
url |
https://doi.org/10.1155/IJMMS.2005.737 |
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 |
https://doi.org/10.1155/IJMMS.2005.737 |
op_rights |
Copyright © 2005 Hindawi Publishing Corporation. |
op_doi |
https://doi.org/10.1155/IJMMS.2005.737 |
container_title |
International Journal of Mathematics and Mathematical Sciences |
container_volume |
2005 |
container_issue |
5 |
container_start_page |
737 |
op_container_end_page |
746 |
_version_ |
1766031208048754688 |