42 citations · 60 across the 8 of their papers we have counts for
6 papers · 1 filter
Commutator calculus and symbolic differentiation of matrix functions
Michal Bathory
We propose a functional calculus which allows one to apply functions to the matrix anti-commutator/commutator operator. The calculus is introduced in a straightforward manner if th…
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…
Variational resolution of outflow boundary conditions for incompressible Navier-Stokes
Michal Bathory, Ulisse Stefanelli
This paper focuses on the so-called Weighted Inertia-Dissipation-Energy (WIDE) variational approach for the approximation of unsteady Leray-Hopf solutions of the incompressible Nav…
Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields
Michal Bathory
The simple product formulae for derivatives of scalar functions raised to different powers are generalized for functions which take values in the set of symmetric positive definite…
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion
Michal Bathory, Miroslav Bulíček, Josef Málek
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 flu…
Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry
Michal Bathory, Miroslav Bulíček, Ondřej Souček
We study a nonlinear elliptic system with prescribed inner interface conditions. These models are frequently used in physical system where the ion transfer plays the important role…