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 …

We show that the coupled balance equations for a large class of dissipative materials can be
cast in the form of GENERIC (General Equations for Non-Equilibrium Reversible Irreversible …

We present a review of some key developments in the continuum mechanics–based
macroscopic modeling of complex fluid flows, following the pioneering work of Oldroyd in the …

The thermodynamics and mechanics of non-isothermal polymeric fluids are examined within
the auspices of a new methodology wherein the laws of physics and principles of mechanics …

We show that many couplings between parabolic systems for processes in solids can be
formulated as a gradient system with respect to the total free energy or the total entropy. This …

General equations for conservative yet dissipative (entropy producing) extended
magnetohydrodynamics are derived from two-fluid theory. Keeping all terms generates …

We use straightforward energy and entropy balances to test the thermodynamic consistency
of microstructural rheological models. The method utilizes the same mathematical methods …

Reduction of a mesoscopic level to a level with fewer details is made by the time evolution
during which the entropy increases. An extension of a mesoscopic level is a construction of …

An essential part in modeling out-of-equilibrium dynamics is the formulation of irreversible
dynamics. In the latter, the major task consists in specifying the relations between …

Formulations of open physical systems within the framework of Non-Equilibrium
Reversible/Irreversible Coupling (associated with the acronym" GENERIC") is related in this …