Mixed boundary value problem in Potential Theory: Application to the hydrodynamic impact (Wagner) problem

Scolan, Y.M. and Korobkin, Alexander ORCID: https://orcid.org/0000-0003-3605-8450 (2012) Mixed boundary value problem in Potential Theory: Application to the hydrodynamic impact (Wagner) problem. Comptes Rendus Mecanique, 340 (10). pp. 702-705.

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Abstract

A three-dimensional solution of the mixed boundary value problem posed in Potential Theory is proposed. The support of the Neumann condition is conformally mapped onto a unit disk. On that disk, the solution is broken down as Fourier series of azimuthal angle and linear combinations of known functions of the radial coordinate. It is shown that the whole problem reduces highly nonlinear equations for the coefficients of the mapping function. The present method of solution is to be applied to hydrodynamic impact problem.

Item Type:	Article
Uncontrolled Keywords:	dynamical systems,potential theory,mixed neumann–dirichlet problem
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Centre for Interdisciplinary Mathematical Research (former - to 2017) Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Pure Connector
Date Deposited:	14 Sep 2013 05:25
Last Modified:	24 Oct 2022 04:36
URI:	https://ueaeprints.uea.ac.uk/id/eprint/43267
DOI:	10.1016/j.crme.2012.09.006

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