Diffraction by a gap between two breakwaters: solution for long waves by matched asymptotic expansions

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Abstract
A mathematical model is constructed to represent the diffraction of plane harmonic waves through a gap between two semi-infinite breakwaters in water of constant depth. The boundary-value problem corresponding to this model is formulated and then specialized to the case of waves that are long relative to the gap width. A solution to the long-wave problem is found using the method of matched asymptotic expansions. A selection of results are presented and, where possible, comparisons are made with previous work.

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