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.

引用

页码：453 / 469

页数：16

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