Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow
type: Item
instance of: scholarly article
title: Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow
zbMATH Open document ID: 0905.31003
DOI: 10.1023/A:1008693820578
author: Makoto Sakai
published in: Potential Analysis
publication date: 1999-01-31T00:00:00Z
review text: The paper deals with the global shape of a Hele-Shaw flow, produced by the injection of fluid into the narrow gap between two parallel planes. The author translates the problem into a problem concerning the shape of a quadrature domain of a finite positive measure for subharmonic functions. After establishing the existence of quadrature domains, one gives sharp estimates of the distance from a fixed point to the frontier of the domain.
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 76B99
zbMATH DE Number: 1199890
zbMATH Keywords: Hele-Shaw flow
zbMATH Keywords: quadrature domains
zbMATH Keywords: Green function
zbMATH Keywords: finite positive measure for subharmonic functions
reviewed by: Adrian Carabineanu
MaRDI profile type: Publication
full work available at URL: a:1008693820578
OpenAlex ID: W1519790485
description: scientific article; zbMATH DE number 1199890