Electrorheological fluids are special viscous liquids, that are characterized by their ability to
undergo significant changes in their mechanical properties when an electric field is applied …

The author emphasizes a non-uniform ellipticity condition as the main approach to regularity
theory for solutions of convex variational problems with different types of non-standard …

This article is concerned with the global regularity of weak solutions to systems describing
the flow of shear thickening fluids under the homogeneous Dirichlet boundary condition. The …

We consider the motion of a generalized Newtonian fluid, where the extra stress tensor is
induced by a potential with p-structure (p= 2 corresponds to the Newtonian case). We focus …

There are many technologically important problems such as elastohydrodynamics which
involve the flows of a fluid over a wide range of pressures. While the density of the fluid …

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 …

Long-time and large-data existence of weak solutions for initial-and boundary-value
problems concerning three-dimensional flows of incompressible fluids is nowadays …

Regularity properties of solutions to the stationary generalized Stokes system are studied.
The extra stress tensor is assumed to have a growth given by some N-function, which …

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 …