Quadrature domains and p-Laplacian growth

King, John R. & McCue, Scott W. (2009) Quadrature domains and p-Laplacian growth. Complex Analysis and Operator Theory, 3, pp. 453-469.

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The classical Hele-Shaw (Laplacian-growth) problem is generalised to power-law fluids (satisfying the p-Laplace equation) and a number of results are established that are analogous to some of those involving null-quadrature domains in the former. The results are formal, but suggest a number of avenues warranting rigorous investigation; some of these are formulated as conjectures or open problems.

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7 citations in Scopus
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6 citations in Web of Science®

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185 since deposited on 25 Jul 2008
6 in the past twelve months

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ID Code: 14178
Item Type: Journal Article
Refereed: Yes
Keywords: quadrature domains, p Laplacian, Hele Shaw flow, Baiocchi transform, moving boundary problem, formal asymptotics, power law fluid, Laplacian growth
DOI: 10.1007/s11785-008-0103-9
ISSN: 1661-8262
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Lie Groups Harmonic and Fourier Analysis (010106)
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2008 Springer
Copyright Statement: The original publication is available at SpringerLink
Deposited On: 25 Jul 2008 00:00
Last Modified: 29 Feb 2012 13:47

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