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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Abstract
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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| ID Code: | 14178 |
|---|---|
| Item Type: | Journal Article |
| 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 http://www.springerlink.com |
| Deposited On: | 25 Jul 2008 |
| Last Modified: | 29 Feb 2012 23:47 |
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