3 papers
math.AP2025
On various models describing behaviour of thermoviscoelastic rate-type fluids
Miroslav BulìÄek, Jakub Woźnicki
Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, a…
math.AP2024
On three dimensional flows of viscoelastic fluids of Giesekus type
Miroslav BulÃÄek, Tomáš Los, Josef Málek
Viscoelastic rate-type fluids are popular models of choice in many applications involving flows of fluid-like materials with complex micro-structure. A well-developed mathematical…
math.AP2024
On the existence of solutions to generalized Navier--Stokes--Fourier system with dissipative heating
Anna Abbatiello, Miroslav Bulicek, Daniel Lear
We consider a flow of non-Newtonian incompressible heat conducting fluids with dissipative heating. Such system can be obtained by scaling the classical Navier--Stokes--Fourier pro…