Geodesic
An application of scattering theory to one hydrodynamics problem
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 57-75

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The linearized equation of motion of a layer of an ideal incompressible liquid over an uneven bottom is written as an equation of form $if'=Af$ in a Hubert space with a certain self-adjoint operator $A$. Scattering theory methods are used to study the spectrum and to describe the eigenfunctions of operator $A$ under the assumption that only the compact part of the bottom differs from a horizontal plane. 
@article{ZNSL_1978_77_a2,
     author = {M. V. Buslaeva},
     title = {An application of scattering theory to one hydrodynamics problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {57--75},
     publisher = {mathdoc},
     volume = {77},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a2/}
}
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M. V. Buslaeva. An application of scattering theory to one hydrodynamics problem. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 57-75. http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a2/