In this paper we give examples of value functions in Bolza problem that are not bilateral or viscosity solutions and an example of a smooth value function that is even not a classic solution (in particular, it can be neither the viscosity nor the bilateral solution) of Hamilton-Jacobi-Bellman equation with upper semicontinuous Hamiltonian. Good properties of value functions motivate us to intro...

In this study, the analysis of inherent irreversibility of chemical reactive third-grade poiseuille flow of a variable viscosity with convective cooling is investigated. The dissipative heat in a reactive exothermic chemical moves over liquid in an irreversible way and the entropy is produced unceasingly in the system within the fixed walls. The heat convective exchange with the surrounding tem...

In this issue of RESPIRATORY CARE, a report by Borg and Thompson1 examines an aspect of the measurement of static lung volumes according to recommendations in the 2005 American Thoracic Society (ATS)/European Respiratory Society (ERS) Standardisation of Lung Function Testing.2-6 The procedure for measuring absolute lung volumes begins with establishing functional residual capacity, followed by ...

The results of three-dimensional numerical simulations of mass transfer in semide-tached binaries after mass transfer termination is presented and the structure of residual accretion disk was investigated. It was shown that after the mass transfer termination the quasi-elliptic accretion disk becomes circular. It was also shown that the cessation of mass transfer results in changing of the stru...

We consider the use of Lagrange manifolds to construct viscosity solutions of first order Hamiltonian-Jacobi equations. Recent work of several authors is indicated in which the essential underlying structure consists of a Lagrange manifold on which 1) the desired Hamiltonian function vanishes and 2) the canonical 1-form p·dx of classical mechanics has an integral S(x, p). We explore the proposi...

We solve the martingale optimal transport problem for cost functionals represented by optimal stopping problems. The measure-valued martingale approach developed in ArXiv: 1507.02651 allows us to obtain an equivalent infinitedimensional controller-stopper problem. We use the stochastic Perron’s method and characterize the finite dimensional approximation as a viscosity solution to the correspon...

Orange (Citrus sinensis) and grapefruit (Citrus paradise) peels were used as a source of pectin, which was extracted under different conditions. The peels are used under two states: fresh and residual (after essential oil extraction). Organic acid (citric acid) and mineral acid (sulfuric acid) were used in the pectin extraction. The aim of this study is the evaluation the effect of extraction c...

Expressions for the viscosity correction function, and hence bulk complex impedance, density, compressibility, and propagation constant, are obtained for a rigid frame porous medium whose pores are prismatic with fixed cross-sectional shape, but of variable pore size distribution. The lowand high-frequency behavior of the viscosity correction function is derived for the particular case of a log...

BACKGROUND AND OBJECTIVES This study evaluated the contribution of residual function to the removal of solutes for which protein binding limits clearance by hemdialysis. DESIGN, SETTING, PARTICIPANTS, & MEASUREMENTS Solute concentrations were measured in 25 hemodialysis patients with residual urea clearances ranging from 0.1 to 6.2 ml/min per 1.73 m2. Mathematical modeling assessed the effect...