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 …

Thermodynamical arguments are known to be useful in the construction of physically
motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous …

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

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 …

We investigate finite amplitude stability of spatially inhomogeneous steady state of an
incompressible viscoelastic fluid which occupies a mechanically isolated vessel with walls …

We revisit some classical models for dilute polymeric fluids, and we show that
thermodynamically consistent models for non-isothermal flows of these fluids can be derived …

In this paper which is the continuation of the isothermal viscoelastic model presented in
Gomez-Constante and Palade (2023), we incorporate temperature changes into our model …

ABSTRACT A fully objective and thermodynamically consistent constitutive equation that
models the Payne effect and its temperature dependence is presented. It is based on a …

We discuss the role of thermodynamics in non-linear stability analysis of spatially distributed
dissipative systems governed by non-linear partial differential equations. We document …

In this paper which is the continuation of the isothermal viscoelastic model presented in
Gomez-Constante and Palade (2023), we incorporate temperature changes into our model …