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 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 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 …

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 …

We prove Hölder continuity of gradient of a unique weak solution for unsteady generalized
Navier–Stokes equations with p (x, t)-power law with Dirichlet type boundary condition under …

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 …

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

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 …

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 …

In this paper we study the finite element approximation of systems of p (⋅) p (·)-Stokes type,
where p (⋅) p (·) is a (non constant) given function of the space variables. We derive—in …