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math.AP2024
On the well-possedness of time-dependent three-dimensional Euler fluid flows
Miroslav Bulíček, Josef Málek
We study the mathematical properties of time-dependent flows of incompressible fluids that respond as an Euler fluid until the modulus of the symmetric part of the velocity gradien…
math.AP2024★ 1 cited
On three dimensional flows of viscoelastic fluids of Giesekus type
Miroslav Bulíček, 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.AP2023★ 2 cited
Coupling the Navier-Stokes-Fourier equations with the Johnson-Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis
Michal Bathory, Miroslav Bulíček, Josef Málek
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-conduct…