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.
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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 |
|---|---|
| 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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