Certain rheological behavior of non-Newtonian fluids in engineering sciences is often
modeled by a power law ansatz with p∈(1, 2]. In the present paper the local in time …

In this paper we study the finite element approximation of systems of p-Stokes type for
p∈(1,∞). We derive (in some cases optimal) error estimates for finite element approximation …

This paper proposes a numerical scheme for the approximation of the solution of the Stokes
or steady Navier–Stokes system for fluids with heterogeneous viscosity (generic bounded …

In the present paper, we propose a local discontinuous Galerkin approximation for fully
nonhomogeneous systems of-Navier–Stokes type. On the basis of the primal formulation, we …

In the present paper, we prove convergence rates for the velocity of the local discontinuous
Galerkin approximation, proposed in Part I of the paper [A. Kaltenbach and M. Růžička …

The conventional no-slip boundary condition does not always hold in several fluid flow
applications and must be replaced with appropriate slip conditions according to the wall and …

In the present paper, we prove convergence rates for the pressure of the local discontinuous
Galerkin approximation, proposed in Part I of the paper [A. Kaltenbach and M. Růžička …

We propose a finite element discretization for the steady, generalized Navier–Stokes
equations for fluids with shear-dependent viscosity, completed with inhomogeneous …

We study global regularity of nonlinear systems of partial differential equations depending
on the symmetric part of the gradient with Dirichlet boundary conditions. These systems …

On the Ladyzhenskaya–Smagorinsky turbulence model of the Navier–Stokes equations in
smooth domains. The regularity problem Page 1 J. Eur. Math. Soc. 11, 127–167 c European …