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Justification of Dipole Approximation in the Problem of Nonlinear Wave Generation by a Submerged Sphere

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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.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Novosibirsk, Russia

    E. V. Pyatkina

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  1. E. V. Pyatkina
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Original Russian Text Copyright © 2005 Pyatkina E. V.

The author was supported by the State Maintenance Program for the Leading Scientific Schools (Grant NSh-440.2003.1) and the Russian Foundation for Basic Research (Grant 05-01-00250).

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 907–927, July–August, 2005.

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Pyatkina, E.V. Justification of Dipole Approximation in the Problem of Nonlinear Wave Generation by a Submerged Sphere. Sib Math J 46, 722–739 (2005). https://doi.org/10.1007/s11202-005-0073-3

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  • DOI: https://doi.org/10.1007/s11202-005-0073-3

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