Two-scale homogenization and memory effects of a first order differential equation

被引：5

作者：

Jiang, Jiann-Sheng ^{[1
]}

机构：

[1] Tung Fang Inst Technol, Dept Elect Engn & Comp Sci, Kaohsiung 829, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2006年 / 10卷 / 04期

关键词：

homogenization; two-scale convergence; weak limits; Volterra integral equation; radon measure;

D O I：

10.11650/twjm/1500403887

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply the two-scale convergence method introduced by G. Nguetseng and G. Allaire to study the homogenization of a first order linear differential equation. We show that it generates memory effects and the memory kernel is described by a Volterra integral equation. The explicit form of the memory kernel is given in terms of a Radon measure.

引用

页码：963 / 975

页数：13

共 23 条

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