Quadrature domains and p-Laplacian growth
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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|Item Type:||Journal Article|
|Keywords:||quadrature domains, p Laplacian, Hele Shaw flow, Baiocchi transform, moving boundary problem, formal asymptotics, power law fluid, Laplacian growth|
|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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