Quadrature domains and p-Laplacian growth
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Description
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 | ||
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| Item Type: | Contribution to Journal (Journal Article) | ||
| Refereed: | Yes | ||
| ORCID iD: |
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| Measurements or Duration: | 17 pages | ||
| Keywords: | Baiocchi transform, Formal asymptotics, Hele-Shaw flow, Moving boundary problem, P-Laplacian, Quadrature domains | ||
| DOI: | 10.1007/s11785-008-0103-9 | ||
| ISSN: | 1661-8262 | ||
| Pure ID: | 31921805 | ||
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology Past > QUT Faculties & Divisions > Science & Engineering Faculty Current > Research Centres > Australian Research Centre for Aerospace Automation |
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| Copyright Owner: | Consult author(s) regarding copyright matters | ||
| Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||
| Deposited On: | 25 Jul 2008 00:00 | ||
| Last Modified: | 03 Mar 2024 13:46 |
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