Uniqueness and trapped modes for surface-piercing cylinders in oblique
waves.
N. Kuznetsov, R. Porter, D. V. Evans and M. J. Simon, 1998,
J. Fluid Mech., 365, 351-368.)
Aspects of the solution to the linearised water-wave problem involving
a pair of surface-piercing cylinders in oblique waves and infinite water
depth are examined. In particular, the solution is proved to be unique for
certain geometrical arrangements and wave parameters depending on whether
the wave frequency is above or below the cut-off frequency. Outside these
regions of uniqueness are constructed examples of non-uniqueness using
ideas developed in McIver (1996) in the normal incidence case. Although
non-uniqueness examples are obtained numerically, we are able to prove
the existence of non-uniqueness arrangements under the assumption that
the wave obliqueness is small.
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