Titlebook: Analysis, Modeling and Simulation of Multiscale Problems; Alexander Mielke Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2

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Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations,a single lattice spacing. These steps are long-living lattice defects, which make them suitable as a basis for the description of surface morphology on a mesoscopic length scale and thus are an ideal approach to overcome the different length scales, which range from several atoms in lateral directio

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Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility,ecent results and present an extension of the derivation of a membrane theory, first obtained by LeDret and Raoult in 1993, to the case of incompressible materials. The main difficulty is the construction of a recovery sequence which satisfies pointwise the nonlinear constraint of incompressibility.

LEVER

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Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling, biomimetics, a recently emerged discipline in materials science where engineers try to mimick or use biological materials for the design of innovative technological devices and systems. In particular, we focus on the shape optimization of microcellular silicon carbide ceramic materials derived from

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Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification, limits. The lattice system is an infinite-dimensional Hamiltonian system displaying a variety of different dynamical behavior. Depending on the initial conditions one sees quite different behavior like macroscopic elastic deformations associated with acoustic waves or like propagation of optical pu