The concept of the slow invariant manifold is recognized as the central idea underpinning a
transition from micro to macro and model reduction in kinetic theories. We present the …

Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

Our time is characterized by an explosion of information and by an acceleration of
knowledge. A book cannot compete with the huge amount of data available on the Web …

By bringing together various ideas and methods for extracting the slow manifolds, the
authors show that it is possible to establish a more macroscopic description in …

We review the progress made in extended irreversible thermodynamics during the ten years
that have elapsed since the publication of our first review on the same subject (Rep. Prog …

A previously unreported shock feature associated with the scouring of a horizontal granular
bed by a dam-break wave is discussed. Near the wave centre, the present study shows, the …

On the basis of extended irreversible thermodynamics [D. Jou, J. Casas-Vazquez, and G.
Lebon, Rep. Prog. Phys. 51, 1005 (1988); 62, 1035 (1999)] an analysis of the solid-liquid …

We review our work on the application of the renormalization-group method to obtain first-
and second-order relativistic hydrodynamics from the relativistic Boltzmann equation (RBE) …

Non-local models of thermal energy transport have been used in recent physics and
engineering applications to describe several “small-scale” and/or high frequency …

A weakly nonlocal and nonlinear theory of heat conduction in rigid bodies is proposed. The
constitutive equations generalize these of Fourier, Maxwell-Cattaneo and Guyer-Krumhansl …