On the homogenization of partial integro-differential-algebraic equations

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.
LanguageEnglish
Pages247-283
Number of pages37
JournalOperators and Matrices
Volume10
Issue number2
DOIs
Publication statusPublished - 30 Jun 2016

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Partial Integro-differential Equation
Homogenization
Periodic Homogenization
Electromagnetism
Operator Theory
Algebraic Differential Equations
Functional Analysis
Coupled System
Elasticity
Thermodynamics
Hilbert space
Boundary Value Problem
Physics
Standards

Keywords

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

Cite this

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On the homogenization of partial integro-differential-algebraic equations. / Waurick, Marcus.

In: Operators and Matrices, Vol. 10, No. 2, 30.06.2016, p. 247-283.

Research output: Contribution to journalArticle

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KW - coupled systems

KW - multiphysics

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