Homogenization of the Maxwell’s System for Conducting Media

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Please use this identifier to cite or link to this item: http://163.15.40.127/ir/handle/987654321/826

Title:	Homogenization of the Maxwell’s System for Conducting Media
Authors:	Jiang, Jiann-Sheng;江鑑聲;Lin, Chi-Kun;(東方技術學院電子與資訊系)
Contributors:	東方技術學院電子與資訊系
Keywords:	Homogenization;weak limit;Maxwell equation;Volterra integral equation;Young’s measure;memory effect;kinetic formulation
Date:	2008-07
Issue Date:	2010-06-07 11:54:07 (UTC+8)
Abstract:	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.
Relation:	Discrete and Continuous Dynamical Systems-Series B, Vol.10 no.1, pp.91-107
Appears in Collections:	[Department of Electronics Engineering and Computer Science] journal

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