Literature cited
K. E. Afanas'ev, M. M. Afanas'eva, and A. G. Terent'ev, “Investigation of the evolution of free surfaces associated with the unsteady motion of bodies in an ideal incompressible fluid using the finite and boundary element methods,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 8 (1986).
S. Yu. Morozenko and N. N. Yas'ko, “Numerical simulation of unsteady inviscid flows with free surfaces,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 3 (1990).
K. A. Bezhanov and A. M. Ter-Krikorov, “Multilayer steady incompressible inviscid flow over an irregular bottom,” Prikl. Mat. Mekh.,48, 750 (1984).
K. A. Bezhanov and A. M. Ter-Krikorov, “Multilayer flow of a heavy incompressible inviscid fluid past a body,” Prikl. Mat. Mekh.,49, 392 (1985).
I. V. Sturova, “Numerical calculations in problems of plane surface wave generation,” Preprint No. 5 [in Russian], Vts. SO AN SSSR, Novosibirsk (1990).
L. N. Sretenskii, Theory of Wave Motions in Liquids [in Russian], Nauka, Moscow (1977).
L. D. Akulenko, S. A. Mikhailov, S. V. Nesterov, and A. A. Chaikovskii, “Numericalanalytical investigation of the oscillations of a solid on the interface between two liquids,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela., No. 4, 59 (1988).
L. M. Milne-Thomson, Theoretical Hydrodynamics, Macmillan, New York (1950).
I. M. Mindlin, “Theory of unsteady vortices in an ideal fluid,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 3 (1980).
I. M. Mindlin, “Waves in a heavy two-layer liquid excited by a naturally rising sphere,” in: Vibrations and Waves in Liquids and Gases [in Russian], Gorki Polytechnic Institute, Gorki (1990), p. 54.
O. A. Til'man and I. M. Mindlin, “Vortex rings in a heavy inorganic fluid with piece-wise-constant density,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 38 (1985).
I. M. Mindlin, “Vortices in an unbounded ideal fluid,” No. 3269-82, Deposited at VINITI, June 24, 1982, Gorki Polytechnic Institute, Gorki (1982).
P. K. Suetin, Classical Orthogonal Polynomials [in Russian], Nauka, Moscow (1976).
I. M. Mindlin, “Parametric resonance of pendulums with a vibrating point of suspension,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela., No. 4, 36 (1969).
I. M. Mindlin, “Integrodifferential equations in the dynamics of eddies and waves in a heavy fluid with piecewise-constant density,” No. 6733-V88, Deposited at VINITI, August 26, 1988, Gorki Polytechnic Institute, Gorki (1988).
I. M. Mindlin, “Generalized velocity potential method in the dynamics of a heavy fluid with piecewise-constant density,” No. 498-V91, Deposited at VINITI, January 30, 1991, Novgorod Polytechnic Institute, Novgorod (1991).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 151–160, September–October, 1991.
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Mindlin, I.M. A new method in nonlinear problems of waves in a heavy stratified liquid excited by a vertically moving body. Fluid Dyn 26, 763–770 (1991). https://doi.org/10.1007/BF01050999
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DOI: https://doi.org/10.1007/BF01050999