Boundary value problem with unbounded, fast oscillatory random flows

被引：0
|
作者：
Fannjiang, A [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 143卷 / 02期
关键词：
convection; diffusion; homogenization;
D O I：
10.1006/jdeq.1997.3370
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use Tartar's weak convergence method in conjunction with a variational principle to prove a sharp homogenization theorem for diffusion in steady random flows. The flow has a stationary and square integrable stream matrix. The key of our approach is introducing approximate correctors by means of a saddle point variational principle. We also obtain the two-term asymptotics. (C) 1998 Academic Press.
引用
收藏
页码：327 / 359
页数：33
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