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.
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页码：963 / 975
页数：13
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