We prove that there exists a weak solution to a system governing an unsteady flow of a
viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is …

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

The isothermal quasistatic (ie acceleration neglected) hardening-free plasticity at large
strains is considered, based on the standard multiplicative decomposition of the total strain …

We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes
the flow in terms of the fluid velocity and a symmetric deviatoric stress tensor. This stress …

Various spatial-gradient extensions of standard viscoelastic rheologies of the Kelvin–Voigt,
Maxwell's, and Jeffreys' types are analysed in linear one-dimensional situations as far as 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 …

We consider a fluid model including viscoelastic and viscoplastic effects. The state is given
by the fluid velocity and an internal stress tensor that is transported along the flow with the …

We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids
with stress diffusion. Our approach is based on the concepts used in the nowadays standard …

In the classical theory of fluid mechanics a linear relationship between the shear stress and
the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relationship …

We prove that there exists a~ large-data and global-in-time weak solution to a~ system of
partial differential equations describing an unsteady flow of an incompressible heat …