activity
20172021
most citedSpace-time discretization for nonlinear parabolic systems with -structure

3 citations · 3 across the 3 of their papers we have counts for

collaborators

7 papers

cs.IR2021

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…

math.AP2021

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…

math.AP2020

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…

math.AP20203 cited

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…

math.AP2019

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…

math.AP2019

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…