Hele-Shaw problems in multidimensional spaces

被引：12
作者：
Tian, FR [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
JOURNAL OF NONLINEAR SCIENCE | 2000年 / 10卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s003329910011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study Hele-Shaw problems in R-n for n greater than or equal to 3 with or without surface tension. Qualitatively, we generalize most of the analytic results in dimension two to dimension n. Quantitatively, we construct some exact solutions for both zero and nonzero surface tension. The latter solutions enable us to calculate the zero surface tension limit explicitly.
引用
收藏
页码：275 / 290
页数：16
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