Steady States of Anisotropic Generalized Newtonian Fluids

Semi-implicit Euler Scheme for Generalized Newtonian Fluids

Rheological behavior of certain non–Newtonian fluids in engineering sciences is often modeled by power law ansatzes with p ≤ 2. So far, existing numerical analysis for local strong solutions study a fully implicit time discretization and find only restricted ranges of admissible p’s for corresponding error estimates [9]; different nonlinear stabilization strategies which allow a corresponding e...

On Strong Solutions of the Differential Equations Modeling the Steady Flow of Certain Incompressible Generalized Newtonian Fluids

A system of nonautonomous partial differential equations describing the steady flow of an incompressible fluid is considered. The existence of a strong solution of that system is proved under suitable assumptions on the data. In the 2D-case this solution turns out to be of class C1,α. §

Non-newtonian Fluids

Steady States of Some Models for Van der Waals Fluids

We study the steady states of some models for van der Waals uid. In particular, for a mass viscosity model, we show that there is no \cavitation" wave. We also consider the closed orbits, heteroclinic orbits, and their relation with Maxwell construction, for diierent models with regularization terms.

Fluctuation-induced pressures in fluids in thermal nonequilibrium steady states.

Correlations in fluids in nonequilibrium steady states are long range. Hence, finite-size effects have important consequences in the nonequilibrium thermodynamics of fluids. One consequence is that nonequilibrium temperature fluctuations induce nonequilibrium Casimir-like pressures proportional to the square of the temperature gradient. Hence, fluctuations cause a breakdown of the concept of lo...