Bharathi, Vijaya L and Chakrabarti, A
(1991)
*Solution of a Boundary-Value Problem associated with Diffraction of Water Waves by a Nearly Vertical Barrier.*
In: IMA Journal of Applied Mathematics, 47
(1).
23 -32.

## Abstract

An exact solution is derived for a boundary-value problem for Laplace's equation which is a generalization of the one occurring in the course of solution of the problem of diffraction of surface water waves by a nearly vertical submerged barrier. The method of solution involves the use of complex function theory, the Schwarz reflection principle, and reduction to a system of two uncoupled Riemann-Hilbert problems. Known results, representing the reflection and transmission coefficients of the water wave problem involving a nearly vertical barrier, are derived in terms of the shape function.

Item Type: | Journal Article |
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Publication: | IMA Journal of Applied Mathematics |

Publisher: | Oxford University Press |

Additional Information: | Copyright of this article belongs to Oxford University Press. |

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

Date Deposited: | 30 Nov 2010 09:50 |

Last Modified: | 30 Nov 2010 09:50 |

URI: | http://eprints.iisc.ac.in/id/eprint/34134 |

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