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Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions
University of Coll Dublin, Ireland .
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2014 (English)In: Archive for Rational Mechanics and Analysis, ISSN 0003-9527, E-ISSN 1432-0673, Vol. 213, no 2, 503-526 p.Article in journal (Refereed) Published
Abstract [en]

It is known that corners of interior angle less than pi/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.

Place, publisher, year, edition, pages
Springer Verlag (Germany) , 2014. Vol. 213, no 2, 503-526 p.
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Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-107819DOI: 10.1007/s00205-014-0750-0ISI: 000336427700005OAI: oai:DiVA.org:liu-107819DiVA: diva2:727948
Available from: 2014-06-23 Created: 2014-06-23 Last updated: 2017-12-05

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