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
收藏
页码：453 / 469
页数：17
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