The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for
the description of the asymptotic behaviour of variational problems. Its applications range …

This second edition takes advantage of several comments received by colleagues and
students. With respect to the first edition (published by SIAM in 2006) several new sections …

Some outstanding open problems of nonlinear elasticity are described. The problems range
from questions of existence, uniqueness, regularity and stability of solutions in statics and …

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 …

This contribution surveys menagerie of models for twinning-like microstructure and its
evolution in crystallic alloys exhibiting shape-memory effects. Various levels of description of …

We present an overview of some works on the models of computational quantum chemistry.
We examine issues such as the existence of ground states (both for the electronic structure …

We study the asymptotic behavior, as the mesh size ε tends to zero, of a general class of
discrete energies defined on functions u:α∈ε\mathbbZ^N∩\Omega↦u(α)∈\mathbbR^d of …

The fundamental review article DIE ALLGEMEINEN ANSÄTZE DER MECHANIK DER
KONTINUA in the Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer …

We study Γ-convergence of graph-based Ginzburg–Landau functionals, both the limit for
zero diffusive interface parameter ε→ 0 and the limit for infinite nodes in the graph m→∞ …

The present article is an overview of some mathematical results, which provide elements of
rigorous basis for some multiscale computations in materials science. The emphasis is laid …