Weak and Measure-valued Solutions to Evolutionary PDEs Page 1 Weak and Measure-valued
Solutions to Evolutionary PDEs Page 2 APPLIED MATHEMATICS AND MATHEMATICAL …

Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

Existence and regularity properties of solutions for the evolutionary system describing
unsteady flows of incompressible fluids with shear dependent viscosity are studied. The …

We deal with a system of partial differential equations describing a steady motion of an
incompressible fluid with shear-dependent viscosity and present a new global existence …

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 …

We consider unsteady flows of incompressible fluids with a general implicit constitutive
equation relating the deviatoric part of the Cauchy stress S and the symmetric part of the …

In this paper we clarify and discuss some subtle features concerning the non-Newtonian
fluid models which were considered by Málek, Nečas and Růžička. 19 We establish new …

We apply the technique of convex integration to obtain non-uniqueness and existence
results for power-law fluids, in dimension d ≥ 3 d≥ 3. For the power index q below the …

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 …

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 …