The reducibility of the anisotropic Hele-Shaw problem to the isotropic case

被引：0
|
作者：
Alimov, M. M.
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2007年 / 71卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1016/j.jappmathmech.2007.07.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is established that the unilateral Hele-Shaw problem for flows in a channel when there is bulk anisotropy and Saffman-Taylor boundary conditions on the free boundary can be reduced to the isotropic case using a linear non-orthogonal coordinate transformation. Correspondingly, any exact solution of the Hele-Shaw problem for an isotropic medium generates a set of solutions for an anisotropic medium for arbitrary orientation of the principal axes of the permeability tensor with respect to the direction of the channel axis. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：408 / 414
页数：7
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