This chapter primarily deals with internal, isothermal, unsteady flows of a class of
incompressible fluids with both constant and shear or pressure dependent viscosity that …

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 …

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 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 …

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)) …

We consider an optimal control problem for the evolutionary flow of incompressible non-
Newtonian fluids in a two-dimensional domain. The existence of optimal controls is proven …

In some recent papers we have been pursuing regularity results up to the boundary, in W2, l
(Ω) spaces for the velocity, and in W1, l (Ω) spaces for the pressure, for fluid flows with shear …

The aim of this paper is to establish necessary optimality conditions for optimal control
problems governed by steady, incompressible Navier--Stokes equations with shear …

We study the existence of weak solution for unsteady fluidstructure interaction problem for
shear-thickening flow. The time dependent domain has at one part a flexible elastic wall …

We consider the evolutionary symmetric $ p $-Laplacian with safety $1 $. By symmetric we
mean that the full gradient of $ p $-Laplacian is replaced by its symmetric part, which causes …