3 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
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 …