An example of non-uniqueness in the two-dimensional linear water wave problem
journal contributionposted on 2009-04-01, 13:10 authored 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.
- Mathematical Sciences
CitationMCIVER, 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
- VoR (Version of Record)
NotesThis article was published in the Journal of Fluid Mechanics Digital Archive [© Cambridge University Press]. The definitive version is available at: http://journals.cambridge.org