Dipole approximation for the problem on nonlinear waves generation by an embedded sphere
type: Item
instance of: scholarly article
zbMATH Open document ID: 1004.76014
publication date: 2001-12-13T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76B07
zbMATH DE Number: 1682201
zbMATH Keywords: nonstationary surface waves
zbMATH Keywords: ideal incompressible fluid
zbMATH Keywords: irrotational flow
zbMATH Keywords: elliptic boundary value problem
zbMATH Keywords: embedded sphere
zbMATH Keywords: Cauchy-Poisson problem
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: free boundary
zbMATH Keywords: system of integro-differential equations
zbMATH Keywords: potential function
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: dipole
MaRDI profile type: Publication
author: E. V. Pyatkina
title: Dipole approximation for the problem on nonlinear waves generation by an embedded sphere
published in: Dinamika Sploshnoĭ Sredy
review text: The author studies nonstationary surface waves in the presence of an embedded sphere. The Cauchy-Poisson problem with nonlinear boundary conditions on the free boundary is reduced to a system of integro-differential equations which describe the free boundary and potential function on it. It is shown that the leading term in asymptotic expansion with respect to the fluid depth can be represented as a dipole whose moment depends on the radius of the sphere, on its velocity, of the shape of wave surface, and on the fluid velocity on the free surface.
description: scientific article; zbMATH DE number 1682201