Existence of Weak Solutions for a Nonlinear Elliptic System

被引：0
|
作者：
Fang, Ming [1 ]
Gilbert, Robert P. [2 ]
机构：
[1] Norfolk State Univ, Dept Math, Norfolk, VA 23504 USA
[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
BOUNDARY VALUE PROBLEMS | 2009年
关键词：
HELE-SHAW FLOWS; SQUEEZE FLOW; SLIP;
D O I：
10.1155/2009/708389
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the existence of weak solutions to the following Dirichlet boundary value problem, which occurs when modeling an injection molding process with a partial slip condition on the boundary. We have -Delta theta = k(theta)vertical bar del p vertical bar(r) + q(x) in Omega; -div{(k (theta)vertical bar del p vertical bar(r-2) + beta(x)vertical bar del p vertical bar(r0-2))del p} = 0 in Omega;. theta = theta(0), and p = p(0) on partial derivative Omega. Copyright (C) 2009 M. Fang and R.P. Gilbert.
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页数：15
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