Homogenization of the Maxwell's system for conducting media

Jiann Sheng Jiang*, Chi Kun Lin, Chi Hua Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)91-107
Number of pages17
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number1
Publication statusPublished - Jul 2008
Externally publishedYes


  • Conducting media
  • Homogenization
  • Kinetic formulation
  • Maxwell equation
  • Memory (nonlocal) effect
  • Volterra integral equation
  • Weak limit
  • Young's measure

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