Geodesic
Conformal mappings in the problem of water-waves floating body interaction
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 123-137

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Uniqueness theorems are proved for the water-wave problem involving either a body intersecting the free surface at arbitrary angles or a pair of symmetric plates floating in the free surface. Proofs combine conformal mappings and the Vainberg–Maz'ya identity. 
@article{ZNSL_2006_332_a7,
     author = {N. G. Kuznetsov},
     title = {Conformal mappings in the problem of water-waves floating body interaction},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {123--137},
     publisher = {mathdoc},
     volume = {332},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a7/}
}
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N. G. Kuznetsov. Conformal mappings in the problem of water-waves floating body interaction. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 123-137. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a7/