6 citations · 18 across the 22 of their papers we have counts for
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Existence of steady solutions for a model for micropolar electrorheological fluid flows with not globally --Hölder continuous shear exponent
Alex Kaltenbach, Michael Růžička
In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the st…
Existence of steady solutions for a general model for micropolar electrorheological fluid flows
Alex Kaltenbach, Michael Růžička
In this paper we study the existence of solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress t…
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…
Pseudo-monotone operator theory for unsteady problems in variable exponent spaces
A. Kaltenbach
We prove by means of advanced pseudo-monotonicity methods an abstract existence result for parabolic partial differential equations with -Hölder continuous variable exponent…
Variable exponent Bochner-Lebesgue spaces with symmetric gradient structure
A. Kaltenbach, R. Růžička
We introduce function spaces for the treatment of non-linear parabolic equations with variable -Hölder continuous exponents, which only incorporate information of the symmetr…
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications
Luigi C. Berselli, Alex Kaltenbach, Michael Ruzicka
In this paper we consider fully discrete approximations of abstract evolution equations, by means of a quasi non-conforming spatial approximation and finite differences in time (Ro…
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…