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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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|
|Additional Information:||The copyright of this article belongs to Australian Mathematical Society.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||14 Nov 2006|
|Last Modified:||19 Sep 2010 04:30|
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