Maxwell 系統之均質化與記憶效應

TUNG FANG Institutional Repository > 電子與資訊系(遊戲動畫系、動畫科) > 國科會計畫 > Item 987654321/172

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题名:	Maxwell 系統之均質化與記憶效應 Homogenization and Memory Effect of Maxwell System
作者:	江鑑聲 Jiang, Jiann-Sheng Jiang, J. S. (行政院國家科學委員會) (東方技術學院電子與資訊系)
关键词:	均質化;Homogenization;半群;semi-group;弱極限;weak limit;Volterra 積分方程;Young 測度;Maxwell 系統;Maxwell equation;Volterra integral equation;Young's measure;Memory effect;Kinetic formulation
日期:	2005
上传时间:	2009-07-29 10:35:52 (UTC+8)
摘要:	此計畫研究相關於 Maxwell系統之均質化(homogenization). 此均質化會產生記憶效應(memory effects). 此記憶核(memory kernel)可藉由 Volterra 積分方程描述, 記憶核更可藉由 Young』s 測度確切的表現出來, 並可由均質化方程獲得動態表現式。The purpose of this paper is to study the memory (or nonlocal) effect induced by homogenization of the Maxwell's type system. 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.
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