On the homogenization of partial integro-differential-algebraic equations

Waurick, Marcus (2016) On the homogenization of partial integro-differential-algebraic equations. Operators and Matrices, 10 (2). pp. 247-283. ISSN 1846-3886 (https://doi.org/10.7153/oam-10-15)

Preview

Text. Filename: Waurick_OM_2016_homogenization_of_partial_integro_differential_algebraic_equations.pdf Accepted Author Manuscript Download (481kB)| Preview

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.

• Share and Export
  

  RDF+XMLBibTeXRIOXX2 XMLRDF+N-TriplesJSONDublin CoreAtomSimple MetadataReferMETSHTML CitationASCII CitationOpenURL ContextObjectEndNoteOpenURL ContextObject in SpanMODSMPEG-21 DIDLEP3 XMLData Cite XMLRIS (EndNote Online, Zotero, Ref manager, etc)RDF+N3Multiline CSV
• Item metadata

  Item type:	Article
  ID code:	61322
  Dates:	Date Event 30 June 2016 Published 8 April 2016 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	21 Jul 2017 14:58
  Last modified:	08 Apr 2024 23:32
  Related URLs:	Journal or Publication https://arxiv.org/abs/1204.3768
  URI:	https://strathprints.strath.ac.uk/id/eprint/61322