A moving boundary problem for periodic Stokesian Hele-Shaw flows

被引：0
|
作者：
Escher, Joachim [1 ]
Matioc, Bogdan-Vasile [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany
来源：
INTERFACES AND FREE BOUNDARIES | 2009年 / 11卷 / 01期
关键词：
Quasilinear elliptic equation; nonlinear parabolic equation; non-Newtonian fluid; Hele-Shaw flow;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the motion of an incompressible, viscous fluid in a Hele-Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to the corresponding moving boundary problem.
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页码：119 / 137
页数：19
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