Overdeterminded boundary value problems, quadrature domains and applications
type: Item
instance of: scholarly article
title: Overdeterminded boundary value problems, quadrature domains and applications
zbMATH Open document ID: 1095.30031
DOI: 10.1007/BF03321084
author: A. Yu. Solynin
author: Dimiter Vassilev
author: Dmitry Khavinson
published in: Computational Methods and Function Theory
publication date: 2006-03-10T00:00:00Z
review text: From the summary: We discuss an overdetermined problem in planar multiply connected domains \(\Omega\). This problem is solvable in \(\Omega\) if and only if \(\Omega\) is a quadrature domain carrying a solid-contour quadrature identity for analytic functions. At the same time the existence of such quadrature identity is equivalent to the solvability of a special boundary value problem for analytic functions. We give a complete solution of the problem in some special cases and discuss some applications concerning the shape of electrified droplets and small air bubbles in a fluid flow.
reviewed by: Yuliang Shen
Mathematics Subject Classification ID: 30E25
Mathematics Subject Classification ID: 30F30
Mathematics Subject Classification ID: 76D27
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 5011334
zbMATH Keywords: overdetermined boundary value problem
zbMATH Keywords: quadrature domain
zbMATH Keywords: analytic function
zbMATH Keywords: quadratic differential
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03321084
OpenAlex ID: W2144556274
description: scientific article; zbMATH DE number 5011334