One of the research direction of Horst Lippmann during his whole scientific career was
devoted to the possibilities to explain complex material behavior by generalized continua …

For more details about the topologies of the spaces P (Ω) and P/(Ω), see Yosida [1966], Vo-
Khac [1972a, 1972b], Hörmander [1983, Chapters 1–7], Duistermaat & Kolk [2010], and of …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book is based on lectures delivered over the years by the author at the Université Pierre
et Marie Curie, Paris, at the University of Stuttgart, and at City University of Hong Kong. Its …

Unsupervised learning of latent variable models (LVMs) is widely used to represent data in
machine learning. When such model reflects the ground truth factors and the mechanisms …

We derive a hierarchy of plate models from three-dimensional nonlinear elasticity by Γ-
convergence. What distinguishes the different limit models is the scaling of the elastic …

We report results from a systematic program of alloy development in the system TiNiX, X=
Cu, Pt, Pd, Au, to pursue certain special lattice parameters that have been identified …

Publisher Summary This chapter discusses the main properties of Γ-convergence, in
particular those that are useful in the actual computation of Γ-limits. For some classes of …

The calculus of variations has its roots in the first problems of optimality studied in classical
antiquity by Archimedes (ca. 287–212 BC in Syracuse, Magna Graecia) and Zenodorus (ca …

We consider the two logarithmic strain measures=||\mathrm dev _n\mathrm log U||=||\mathrm
dev _n\mathrm log F^ TF||\quad and\quad\vol=|\mathrm tr (\mathrm log U)=|\mathrm tr …