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

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.

Cite this article

Alexander Mielke, Michael Ortiz, Microstructures in Solids: From Quantum Models to Continua. Oberwolfach Rep. 7 (2010), no. 1, pp. 733–798

DOI 10.4171/OWR/2010/14