3 citations · 4 across the 6 of their papers we have counts for
10 papers
Pressure-robust and quasioptimal Discontinuous Galerkin discretisations of the -Stokes problem
P. A. Gazca-Orozco, M. Růžička
In the present paper, we propose Local Discontinuous Galerkin (LDG) approximations for a nonlinear system of -Stokes type, having -structure. On the basis of the primal f…
A Local Discontinuous Galerkin approximation for the -Navier-Stokes system, Part I: Convergence analysis
Alex Kaltenbach, Michael Růžička
In the present paper, we propose a Local Discontinuous Galerkin (LDG) approximation for fully non-homogeneous systems of -Navier-Stokes type. On the basis of the primal formulat…
Natural second order regularity for systems in the case using the -approximation
Luigi C. Berselli, Michael Růžička
In this paper we consider nonlinear problems with an operator depending only on the deformation tensor. We consider the class of operators derived from a potential and with …
Towards Math-Aware Automated Classification and Similarity Search of Scientific Publications: Methods of Mathematical Content Representations
Michal Růžička, Petr Sojka
In this paper, we investigate mathematical content representations suitable for the automated classification of and the similarity search in STEM documents using standard machine l…
On the existence of weak solutions for a family of unsteady rotational Smagorinsky models
Luigi C. Berselli, Alex Kaltenbach, Roger Lewandowski +1
In this paper we show that the rotational Smagorinsky model for turbulent flows, can be put, for a wide range of parameters in the setting of Bochner pseudo-monotone evolution equa…
Existence of weak solutions for inhomogeneous generalized Navier-Stokes equations
Julius Jeßberger, Michael Růžička
We prove existence of weak solutions for the fully inhomogeneous, stationary generalized Navier-Stokes equations for shear-thinning fluids. Our proof is based on the theory of pseu…
Space-time discretization for nonlinear parabolic systems with -structure
Luigi C. Berselli, Michael Růžička
In this paper we consider nonlinear parabolic systems with elliptic part which can be also degenerate. We prove optimal error estimates for smooth enough solutions. The main novelt…
Note on the existence theory for pseudo-monotone evolution problems
Alex Kaltenbach, Michael Růžička
In this note we develop a framework which allows to prove an existence result for non-linear evolution problems involving time-dependent, pseudo-monotone operators. This abstract e…
Solenoidal difference quotients and their application to the regularity theory of the -Stokes system
Martin Křepela, Michael Růžička
We prove existence of a solution to the divergence equation satisfying a new Bogovski-type estimate for the difference quotients. This enables us to give an alternative proof of th…
A counterexample related to the regularity of the -Stokes problem
Martin Křepela, Michael Růžička
In this paper we construct a solenoidal vector field belonging to , , , such that …