Bharathi, Vijaya L and Chakrabarti, A and Mandal, BN and Banerjee, S
(1994)
*Solution of the problem of scattering of water waves by a nearly vertical plate.*
In: Journal of the Australian Mathematical Society, Series B, 35
(3).
pp. 382-395.

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## Abstract

An approximate solution is determined for the problem of scattering of water waves by a nearly vertical plate, by reducing it to two mixed boundary-value problems (BVP) for Laplace's equation, using perturbation techniques. While the solution of one of these BVP is well-known, the other BVP is reduced to the problem of solving two uncoupled Riemann-Hilbert problems and the complete solution of the problem under consideration up to first-order accuracy is derived with a special assumption for the shape of the plate and a related approximation. Known results involving the reflection and transmission coefficients are reproduced.

Item Type: | Journal Article |
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Additional Information: | The copyright of this article belongs to Australian Mathematical Society. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Anka Setty |

Date Deposited: | 14 Nov 2006 |

Last Modified: | 19 Sep 2010 04:30 |

URI: | http://eprints.iisc.ac.in/id/eprint/8026 |

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