In this thesis we are working on the mathematical background of the behaviour of
electrorheological fluids. Those fluids have a special property: When disposed to an electro …

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 …

Local-in-time well-posedness of the initial-boundary value problem for a class of non-
Newtonian Navier–Stokes problems on domains with compact C^3--boundary is proven in …

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 …

The existence of C 1, α-solutions of the nonlinear system that describes plane stationary flow
of a class of non-Newtonian fluids is proved. In particular, this class includes various power …

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 …

-regularity for electrorheological fluids in two dimensions Page 1 c Birkhäuser Verlag, Basel, 2007
NoDEA Nonlinear differ. equ. appl. 14 (2007) 207—217 1021–9722/07/020207–11 DOI …

We study interior regularity of solutions of a generalized stationary Stokes problem in the
plane. The main, elliptic part of the problem is given in the form div (A (D u)) div (A (D u)) …

A new solver is presented for the flow of power‐law fluids that extends a solver developed
by Turek [FEATFLOW. Finite Element Software for the Incompressible Navier–Stokes …

We prove for three-dimensional domains the existence of local strong solutions to systems of
nonlinear partial differential equations with p (⋅)-structure, p∞≤ p (⋅)≤ p0, and Dirichlet …