On a time-dependent grade-two fluid model in two dimensions

被引：9
|
作者：
Girault, V. [1 ]
Saadouni, A. [1 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 3-4期
关键词：
decoupled semi-discrete scheme; construction of Galerkin solution; unconditional existence of global solution;
D O I：
10.1016/j.camwa.2006.02.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of a weak solution of a time-dependent grade-two fluid model in a plane Lipschitz domain and uniqueness of the solution in a convex polygon. The method of proof is constructive and can be adapted to the numerical analysis of finite-element schemes for solving this problem numerically. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：347 / 360
页数：14
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