JournalsowrVol. 7 / No. 1DOI 10.4171/owr/2010/14

Microstructures in Solids: From Quantum Models to Continua

  • Alexander Mielke

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Michael Ortiz

    California Institute of Technology, Pasadena, United States
Microstructures in Solids: From Quantum Models to Continua cover

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Abstract

The mathematical theory of solids was studied from the modern perspective of materials with microcstructures. The discussed topics ranged from experimental findings, via numerical simulations and mathematical modeling to the analysis of models with microstructures. A special emphasis was given to theories providing rigorous insight into and justification of the limit passage between different scales.