Homogenization of the Dirac-like system

Jiann Sheng Jiang*, Chi Kun Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The homogenization of the Dirac-like system is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. When the coefficient is independent of time, the memory kernel can be characterized explicitly in terms of Young's measure. The homogenized equation can be reformulated in the kinetic form by introducing the kinetic variable. We also characterize the memory kernel when the coefficient is of separable variable.

Original languageEnglish
Pages (from-to)433-458
Number of pages26
JournalMathematical Models and Methods in Applied Sciences
Issue number3
Publication statusPublished - Apr 2001
Externally publishedYes


  • Dirac-like system
  • Dunford-Taylor integral
  • Hergoltz function
  • Homogenization
  • Kinetic formulation
  • Volterra integral equation
  • Weak limits
  • Young's measure


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