3 papers
math.AP2021
Non-isothermal viscoelastic flows with conservation laws and relaxation
Sébastien Boyaval, Mark Dostalík
We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the…
math.AP2019
Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature
Mark Dostalík, Vít Průša, K. R. Rajagopal
A fluid occupying a mechanically isolated vessel with walls kept at spatially non-uniform temperature is in the long run expected to reach the spatially inhomogeneous steady state.…
physics.flu-dyn2019
On diffusive variants of some classical viscoelastic rate-type models
Mark Dostalík, Vít Průša, Tomáš Skřivan
We present a thermodynamically based approach to the design of models for viscoelastic fluids with stress diffusion effect. In particular, we show how to add a stress diffusion ter…