On a Hele-Shaw Flow Problem with Free and Solid Boundary Components

被引：1
|
作者：
Kohr, Mirela [1 ]
Pintea, Cornel [1 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 08期
关键词：
Hele-Shaw flow problem; Dirichlet-Neumann boundary value problem; Newtonian and boundary layer potentials; Lipschitz domain; Sobolev spaces; LAPLACE EQUATION; SYSTEMS; REGULARITY; BRINKMAN; STOKES; FLUID;
D O I：
10.1007/s11785-017-0719-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this work is to study a one phase Hele-Shaw fluid flow occupying a time variable domain , due to the injection of the fluid with a constant rate at a single point of the initial domain , and in the presence of a fixed solid body . We show the short time existence and uniqueness of the solution for the corresponding boundary value problem in the three dimensional case and in the absence of surface tension.
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页码：1729 / 1746
页数：18
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