On the geometry of Hele-Shaw flows with small surface tension

被引：0

作者：

Vasil'ev, A ^{[1
]}

Markina, I ^{[1
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

来源：

INTERFACES AND FREE BOUNDARIES | 2003年 / 5卷 / 02期

关键词：

free boundary problem; Hele-Shaw flow; surface tension; conformal map;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the time evolution of the free boundary of a viscous fluid in the non-zero-surface-tension models for planar flows in Hele-Shaw cells under injection. Applying methods of conformal map we prove that certain geometric properties, such as starlikeness and directional convexity, are preserved in time.

引用

页码：183 / 192

页数：10

共 32 条

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