An example of non-uniqueness in the two-dimensional linear
water-wave problem involving submerged cylinders.
D. V. Evans & R. Porter (to appear in Proc. Roy. Soc. Lond. A)
The non-uniqueness of the two-dimensional linearized water-wave problem
was recently proved by McIver (1996) who showed that there exist
localized fluid motions between particular pairs of partially-immersed
cylinder sections. In this paper it is shown how further examples
of non-uniqueness can be constructed which include the presence of a
submerged circular cylindrical section in addition to a pair of surface
cylindrical sections. Further examples involving non-circular sections
are also presented.
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