We deal with a steady Stokes-type problem, associated flow of Newtonian incompressible fluid through spatially periodic profile cascade. The used mathematical model is based on the reduction to one spatial period, represented by bounded 2D domain $\varOmega $ . corresponding Stokes–type problem formulated means Stokes equation, equation continuity and three types boundary conditions: conditions...

In this talk, we consider the well-posedness, ill-posedness and the regularity of stationary solutions to the hydrodynamic model of semiconductors represented by Euler-Poisson equations with sonic boundary, and make a classification on these solutions. When the doping profile is subsonic, we prove that, the corresponding steady-state equations with sonic boundary possess a unique interior subso...

A sensitive radioimmunoassay was developed to determine the steady-state, fixed-dose pharmacokinetic profile of fluphenazine decanoate in nine outpatients. To see if neuroleptic blood levels measured by this assay correlated with a clinical event, we performed a cross-sectional study of fluphenazine blood levels in 11 patients with and 17 patients without tardive dyskinesia. The results do not ...

Barbiturates are regularly used as an anesthetic for animal experimentation and clinical procedures and are frequently provided with solubilizing compounds, such as ethanol and propylene glycol, which have been reported to affect brain function and, in the case of (1)H NMR experiments, originate undesired resonances in spectra affecting the quantification. As an alternative, thiopental can be a...

We obtain the exact large deviation functions of density profile and current, in non-equilibrium steady state a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared earlier results, where rates at boundaries are comparable bulk ones, we show how macroscopic fluctuations modified when slower by an order inverse system length.

Introduction: Steady-state free precession (SSFP) techniques have drawn significant attention due to their speed, good tissue contrast and spatial resolution. Recently, it was demonstrated that SSFP methods can be used to estimate MR-dependent tissue parameters [1,2,3]. In [1], it was shown that a “variable flip angle” radial steady-state free precession (RAD-SSFP) method can be used for the di...

Time-dependent shear stress versus shear rate, constitutive curve, and velocity profile measurements are reported in entangled polymer solutions during start-up of steady shear flow. By combining confocal microscopy and particle image velocimetry (PIV), we determine the time-dependent velocity profile in polybutadiene and polystyrene solutions seeded with fluorescent 150 nm silica and 7.5 μm me...

The pull-in voltage instability associated with a simple MEMS device, consisting of a thin dielectric elastic membrane supported above a rigid conducting ground plate, is analyzed. The upper surface of the membrane is coated with a thin conducting film. In a certain asymptotic limit representing a thin device, the mathematical model consists of a nonlinear partial differential equation for the ...

Abstract An analysis into the transient natural convective flow of a nanofluid in vertical tube is made. The governing equations momentum, heat transfer and nanoparticle volume fraction are deduced, influence thermophoresis parameter Brownian motion incorporated. By direct integration variation parameter, analytical solutions obtained for formation heat/mass at steady-state. On other hand, due ...