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

Author: Pyatkina E.  

Publisher: Springer Publishing Company

ISSN: 0037-4466

Source: Siberian Mathematical Journal, Vol.46, Iss.4, 2005-07, pp. : 722-739

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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.