We propose thermodynamically consistent models for viscoelastic fluids with a stress
diffusion term. In particular, we derive variants of compressible/incompressible …

Viscoelastic rate-type fluid models involving the stress and frame-indifferent time derivatives
of second order, like those in Burgers' model, are used to describe the complicated …

This work presents a new thermodynamically consistent model for thermo-chemo-
mechanical processes in open systems comprised of nonlinear elastic solids that are …

In this paper we study an impulsive delayed reaction-diffusion model applied in biology. The
introduced model generalizes existing reaction-diffusion delayed epidemic models to the …

In a recent contribution to the fundamental understanding of polymer fluid dynamics,
Khambhampati and Rajagopal (2021) established a connection between the natural …

The lack-of-fit statistical reduction, developed and formulated first by Bruce Turkington, is a
general method taking Liouville equation for probability density (detailed level) and …

ABSTRACT The General Equation for Non-Equilibrium Reversible–Irreversible Coupling
(GENERIC) provides the structure of mesoscopic multiscale dynamics that guarantees the …

This article is devoted to the global well-posedness and associated time-decay estimates of
strong solutions for the compressible Oldroyd-B model without stress diffusion in R^3. By …

Payne effect is the complex nonlinear response of filled elastomers to oscillatory loading.
Although usually characterized by the decrease in the storage modulus with strain …

Reduction of a mesoscopic dynamical theory to equilibrium thermodynamics brings to the
latter theory the fundamental thermodynamic relation (ie entropy as a function of the …