AN EXACT SOLUTION TO THE ONE-PHASE ZERO-SURFACE-TENSION HELE-SHAW FREE-BOUNDARY PROBLEM

被引：10

作者：

HUNTINGFORD, C ^{[1
]}

机构：

[1] UNIV OXFORD,INST MATH,OXFORD OX1 3LB,ENGLAND

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 29卷 / 10期

关键词：

FREE-BOUNDARY PROBLEM; HELE-SHAW CELL; SCHWARTZ FUNCTION; GALIN EQUATION; COMPLEX VARIABLE METHODS;

D O I：

10.1016/0898-1221(95)00044-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of explicit solutions are presented to the one-phase aero-surface-tension Hele-Shaw problem with a single source/sink. The free boundary is described as a function of three parameters, whose dependence on time is evaluated through two different yet complementary methods. Possible mechanisms for nonexistence beyond a critical time are found in the case of both a contracting and expanding fluid region.

引用

页码：45 / 50

页数：6

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