Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions

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Title: Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions
Authors: Gardiner, Stephen J.
Sjödin, Tomas
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Date: Aug-2014
Online since: 2015-04-23T03:00:12Z
Abstract: It is known that corners of interior angle less than π/2 in the boundary of a plane domain are initially stationary for Hele–Shaw flow arising from an arbitrary injection point inside the domain. This paper establishes the corresponding result for Laplacian growth of domains in higher dimensions. The problem is treated in terms of evolving families of quadrature domains for subharmonic functions.
Type of material: Journal Article
Publisher: Springer
Journal: Archive for Rational Mechanics and Analysis
Volume: 213
Issue: 2
Start page: 503
End page: 526
Copyright (published version): 2014 Springer
Keywords: MechanicsPhysics, generalTheoretical, Mathematical and Computational PhysicsStatistical Physics, Dynamical Systems and ComplexityFluid- and Aerodynamics
DOI: 10.1007/s00205-014-0750-0
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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