51 citations · 169 across the 11 of their papers we have counts for
4 papers · 1 filter
PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
Miroslav Bulíček, Josef Málek, Vít Průša +1
We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonia…
Thermodynamics of viscoelastic rate-type fluids with stress diffusion
Josef Málek, Vít Průša, Tomáš Skřivan +1
We propose thermodynamically consistent models for viscoelastic fluids with a stress diffusion term. In particular, we derive variants of compressible/incompressible Maxwell/Oldroy…
A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression
Jan Kratochvíl, Josef Málek, Piotr Minakowski
We propose an Eulerian thermodynamically compatible model for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space. The mod…
Stress-diffusive regularizations of non-dissipative rate-type materials
Jan Burczak, Josef Málek, Piotr Minakowski
We consider non-dissipative (elastic) rate-type material models that are derived within the Gibbs-potential-based thermodynamic framework. Since the absence of any dissipative mech…