This article is cited 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.

UDC: 535.59

Received: 15.12.2003

 English version: Siberian Mathematical Journal, 2005, 46:4, 722–739

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