標題: Homogenization of the Maxwell's system for conducting media
作者: Jiang, Jiann-Sheng
Lin, Chi-Kun
Liu, Chi-Hua
應用數學系
Department of Applied Mathematics
關鍵字: homogenization;weak limit;Maxwell equation;conducting media;Volterra integral equation;Young's measure;memory (nonlocal) effect;kinetic formulation
公開日期: 1-Jul-2008
摘要: This paper is devoted to the study of the memory effect induced by homogenization of the Maxwell system for conducting media. The memory kernel is described by the Volterra integral equation. Furthermore, it can be characterized explicitly in terms of Young's measure, and the kinetic formulation of the homogenized equation is also obtained. The kinetic formulation allows us to obtain the homogenization of the energy density and the associated conservation law with the Poynting vector. The interesting interaction phenomenon of the microscopic and macroscopic scales is also discussed and the memory effect explains qualitatively something about irreversibility.
URI: http://hdl.handle.net/11536/8691
ISSN: 1531-3492
期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume: 10
Issue: 1
起始頁: 91
結束頁: 107
Appears in Collections:Articles