A scheme for treating the Second Law of thermodynamics as a constraint and accounting for
the approximate nature of constitutive assumptions in continuum thermomechanics is …

A class of fast–slow Hamiltonian systems with potential U ɛ describing the interaction of non-
ergodic fast and slow degrees of freedom is studied. The parameter ɛ indicates the typical …

This work deals with the modeling of solid continua undergoing incompatible deformations
due to the presence of microscopic defects like dislocations. Our approach relies on a …

In this thesis, we investigate a family of fast-slow Hamiltonian systems, which is
parametrised by a small scale parameter ε, indicating the typical timescale ratio of the fast …

ABSTRACT A formal hierarchy of exact evolution equations is derived for physically relevant
space-time averages of state functions of microscopic dislocation dynamics. While such …

This article includes a short survey of selected averaging and dimension reduction
techniques for deterministic fast–slow systems. This survey includes, among others …