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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 907–927
(Mi smj1014)
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This article is cited in 2 scientific papers (total in 2 papers)
Justification of dipole approximation in the problem of nonlinear wave generation by a submerged sphere
E. V. Pyatkina M. A. Lavrent'ev Institute of Hydrodynamics
Abstract:
Some nonlinear dipole approximation is constructed for the nonstationary problem of a solid sphere motion under a free surface. The approximation is justified in the class of analytic functions decaying at infinity.
Keywords:
submerged sphere, dipole approximation, scale of Banach spaces.
Received: 15.12.2003
Citation:
E. V. Pyatkina, “Justification of dipole approximation in the problem of nonlinear wave generation by a submerged sphere”, Sibirsk. Mat. Zh., 46:4 (2005), 907–927; Siberian Math. J., 46:4 (2005), 722–739
Linking options:
https://www.mathnet.ru/eng/smj1014 https://www.mathnet.ru/eng/smj/v46/i4/p907
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