Gravity-driven nonlinear flow in areas with impermeable inclusions

被引：0
|
作者：
Monakhova, V. N. [1 ]
Gubkinab, E. V. [2 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Novosibirsk 630090, Russia
[2] Altai Mt State Univ, Gorno Altaisk 649000, Russia
来源：
DOKLADY MATHEMATICS | 2008年 / 77卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
9;
D O I：
10.1134/S1064562408030265
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Free-surface flows of a fluid in a porous layer containing impermeable inclusions on the boundary of the flow region are studied. The solvability of these problems in the case of a nonlinear constitutive equation are proved such as various special cases of free-surface fluid dynamics problems in multiply connected domains, flow in an unbounded porous layer with unknown interfaces and a compactly-supported inclusion, boundary value problem, A priori estimates, construction of the operator of the problem, solvability of the problem, and multiply connected domains.
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页码：416 / 419
页数：4
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