The dock problem revisited

A. Chakrabarti; B. N. Mandal; Rupanwita Gayen

doi:10.1155/IJMMS.2005.3459

International Journal of Mathematics and Mathematical Sciences (Jan 2005)

The dock problem revisited

A. Chakrabarti,
B. N. Mandal,
Rupanwita Gayen

Affiliations

A. Chakrabarti: Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
B. N. Mandal: Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, India
Rupanwita Gayen: Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, India

DOI: https://doi.org/10.1155/IJMMS.2005.3459
Journal volume & issue: Vol. 2005, no. 21
pp. 3459 – 3470

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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