Non-local interactions resulting from the homogenization of a linear diffusive medium

被引：12

作者：

Camar-Eddine, M ^{[1
]}

Seppecher, P ^{[1
]}

机构：

[1] Univ Toulon & Var, Lab Anal Non Lineaire Appl & Modelisat, F-83957 La Garde, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 332卷 / 05期

关键词：

D O I：

10.1016/S0764-4442(01)01853-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that the effective properties of a heterogeneous diffusive medium may contain a non-local part. We are interested in the set of all non-local interactions which can arise from homogenization. We consider a bounded domain Omega of R-3 and we show that any non-local energy of the kind integral (Omega) alpha (x)\ \ delu \ \ (2) dx + integral (Omega) u(x)(2) v(dx) + integral (Omegax Omega) (u(x) - u(y))(2) mu (dx, dy) can be obtained, provided that the Radon measures v and CL make this energy functional lower semi-continuous. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：485 / 490

页数：6

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