Homogenization and approximate controllability for the heat equation in perforated domains

被引：8

作者：

Donato, P ^{[1
]}

Nabil, A ^{[1
]}

机构：

[1] UNIV PARIS 06,ANAL NUMER LAB,F-75252 PARIS,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 07期

关键词：

D O I：

10.1016/S0764-4442(97)86945-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the homogenization and the corrector for the linear heat equation with rapidly oscillating coefficients in a periodically perforated domain. We also consider an approximate controllability problem in this domain, and eve study its asymptotic behavior. We obtain as a limit case the approximate controllability of the homogenized problem. In the limit problem, the approximation of the final state is altered by a constant which depends oil the proportion of material in the perforated domain and which is equal to I when there are no holes.

引用

页码：789 / 794

页数：6

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