On uniqueness of a solution to the plane problem on interaction of surface waves with obstacle
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We consider the plane linear boundary value problem describing the behavior of time-harmonic water waves with an obstacle formed by partially and totally immersed bodies of infinite length and also by the part of bottom the topography of which is different from that in the plane case. We study a special two-dimensional case where the crests of waves incoming on the obstacle are parallel to the obstacle generators. Bibliography: 10 titles.
KeywordsConformal Mapping Integral Identity Plane Case Homogeneous Problem Uniqueness Criterion
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- 1.N. G. Kuznetsov, “Nodal lines and uniqueness of solutions to linear water-wave problems” [in Russian], Tr. S. Peterb. Mat. O-va 13 (2007), 73–91; English transl.: Am. Math. Soc., Providence, 2008.Google Scholar
- 6.B. R. Vainberg and V. G. Maz’ya, On the problem of the steady-state oscillations of a fluid layer of variable depth [in Russian], Tr. Mosk. Mat. O-va 28 (1973), 57–74.Google Scholar
- 8.P. H. Moon and D. E. Spencer, Field Theory Handbook. Including Coordinate Systems, Differential Equations and Their Solutions, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1988.Google Scholar
- 10.S. A. Nazarov and B. A. Plamenevskii, Elliptic Problems in Domains with Piecewise Smooth Boundary [in Russian], Nauka, Moscow, 1991.Google Scholar