Quadrature Domains and p-Laplacian Growth

被引：0
|
作者：
John R. King
Scott W. McCue
机构：
[1] University of Nottingham,School of Mathematical Sciences
[2] Queensland University of Technology,School of Mathematical Sciences
来源：
Complex Analysis and Operator Theory | 2009年 / 3卷
关键词：
Primary 35R35; Secondary 35B40, 76D27; Quadrature domains; -Laplacian; Hele–Shaw flow; Baiocchi transform; moving boundary problem; formal asymptotics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：453 / 469
页数：16
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