The dock problem revisited
The well-known semi-infinite dock problem of the theory of scattering of surface water waves is reexamined and known results are recovered by utilizing a Fourier type of analysis, giving rise to Carleman-type singular integral equations over semi-infinite ranges.
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Format: | Article |
Language: | English |
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Wiley
2005-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3459 |
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author | A. Chakrabarti B. N. Mandal Rupanwita Gayen |
author_facet | A. Chakrabarti B. N. Mandal Rupanwita Gayen |
author_sort | A. Chakrabarti |
collection | DOAJ |
description | The well-known semi-infinite dock problem of the theory of scattering of surface water waves is reexamined and known results are recovered by utilizing a Fourier type of analysis, giving rise
to Carleman-type singular integral equations over semi-infinite ranges. |
format | Article |
id | doaj-art-1bd671c56f86456288b78a978f4ace4e |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2005-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-1bd671c56f86456288b78a978f4ace4e2025-02-03T06:48:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005213459347010.1155/IJMMS.2005.3459The dock problem revisitedA. Chakrabarti0B. N. Mandal1Rupanwita Gayen2Department of Mathematics, Indian Institute of Science, Bangalore 560012, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, IndiaThe well-known semi-infinite dock problem of the theory of scattering of surface water waves is reexamined and known results are recovered by utilizing a Fourier type of analysis, giving rise to Carleman-type singular integral equations over semi-infinite ranges.http://dx.doi.org/10.1155/IJMMS.2005.3459 |
spellingShingle | A. Chakrabarti B. N. Mandal Rupanwita Gayen The dock problem revisited International Journal of Mathematics and Mathematical Sciences |
title | The dock problem revisited |
title_full | The dock problem revisited |
title_fullStr | The dock problem revisited |
title_full_unstemmed | The dock problem revisited |
title_short | The dock problem revisited |
title_sort | dock problem revisited |
url | http://dx.doi.org/10.1155/IJMMS.2005.3459 |
work_keys_str_mv | AT achakrabarti thedockproblemrevisited AT bnmandal thedockproblemrevisited AT rupanwitagayen thedockproblemrevisited AT achakrabarti dockproblemrevisited AT bnmandal dockproblemrevisited AT rupanwitagayen dockproblemrevisited |