On the homogenization of partial integro-differential-algebraic equations

Marcus Waurick

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
15 Downloads (Pure)

Abstract

We present a Hilbert space perspective to homogenization of standard linear evolutionary boundary value problems in mathematical physics and provide a unified treatment for (non-)periodic homogenization problems in thermodynamics, elasticity, electro-magnetism and coupled systems thereof. The approach permits the consideration of memory problems as well as differential-algebraic equations. We show that the limit equation is well-posed and causal. We rely on techniques from functional analysis and operator theory only.
Original languageEnglish
Pages (from-to)247-283
Number of pages37
JournalOperators and Matrices
Volume10
Issue number2
DOIs
Publication statusPublished - 30 Jun 2016

Keywords

  • homogenization
  • partial differential equations
  • delay and memory effects
  • coupled systems
  • multiphysics
  • G-convergence

Cite this