Quadrature Domains and p-Laplacian Growth

被引：9

作者：

King, John R. ^{[1
]}

McCue, Scott W. ^{[2
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2009年 / 3卷 / 02期

关键词：

Quadrature domains; p-Laplacian; Hele-Shaw flow; Baiocchi transform; moving boundary problem; formal asymptotics; SURFACE-TENSION MODEL; FREE-BOUNDARY FLOWS; HELE-SHAW CELLS; EXTINCTION BEHAVIOR; POROUS-MEDIA; CLASSIFICATION; SOLIDIFICATION;

D O I：

10.1007/s11785-008-0103-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：17

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