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  5. Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions
 
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Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions

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Author(s)
Gardiner, Stephen J. 
Sjödin, Tomas 
Uri
http://hdl.handle.net/10197/5643
Date Issued
August 2014
Date Available
23T03:00:12Z April 2015
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
  • Mechanics

  • Physics, general

  • Theoretical, Mathemat...

  • Statistical Physics, ...

  • Fluid- and Aerodynami...

DOI
10.1007/s00205-014-0750-0
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Research Collection
Scopus© citations
0
Acquisition Date
Feb 4, 2023
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Views
1464
Acquisition Date
Feb 4, 2023
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Downloads
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Last Month
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Acquisition Date
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