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An example of non-uniqueness in the two-dimensional linear water wave problem

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posted on 01.04.2009 by Maureen McIver
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.

History

School

  • Science

Department

  • Mathematical Sciences

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

Publisher

© Cambridge University Press

Version

VoR (Version of Record)

Publication date

1996

Notes

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

ISSN

0022-1120

Language

en

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