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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/4428

Title: An example of non-uniqueness in the two-dimensional linear water wave problem
Authors: McIver, M.
Issue Date: 1996
Publisher: © Cambridge University Press
Citation: MCIVER, M., 1996. An example of non-uniqueness in the two-dimensional linear water wave problem. Journal of Fluid Mechanics Digital Archive, 315, pp. 257-266
Abstract: An example of non-uniqueness in the two-dimensional, linear water wave problem is obtained by constructing a potential which does not radiate any waves to infinity and whose streamline pattern represents the flow around two surface-piercing bodies. The potential is constructed from two wave sources which are positioned in the free surface in such a way that the waves radiated from each source cancel at infinity. A numerical calculation of the streamline pattern indicates that there are at least two streamlines which represent surface-piercing bodies, each of which encloses a source point. A proof of the existence of these lines is then given.
Description: This article was published in the Journal of Fluid Mechanics Digital Archive [© Cambridge University Press]. The definitive version is available at: http://journals.cambridge.org
Version: Published
DOI: 10.1017/S0022112096002418
URI: https://dspace.lboro.ac.uk/2134/4428
ISSN: 0022-1120
Appears in Collections:Published Articles (Maths)

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