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Deterministic Near-Optimal Controls. Part II: Dynamic Programming and Viscosity Solution Approach
Mathematics of Operations Research, 1996Near-optimization is as sensible and important as optimization for both theory and applications. This paper concerns dynamic near-optimization, or near-optimal controls, for systems governed by deterministic ordinary differential equations, and uses ...
X. Zhou
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Finite horizon stochastic optimal switching and impulse controls with a viscosity solution approach
, 1993A stochastic optimal switching and impulse control problem in a finite horizon is studied. The continuity of the value function, which is by no means trivial, is proved.
Shanjian Tang, J. Yong
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Viscosity of polymer solutions
Polymer Science U.S.S.R., 1979Abstract A molecular interpretation was proposed for the dependence of the viscosity of polymer solutions on molecular weight at different temperatures and concentrations. It was shown that a variation in this dependence with certain “intermediate” molecular weights is due to the formation of typical structures in polymer solutions.
A.I. Toryanik, V.G. Pogrebnyak
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The solution viscosity of polybenzyls
European Polymer Journal, 1970Abstract The viscosities of solutions of polybenzyls have been studied according to the view that polybenzyl molecules are highly branched and roughly spherical in shape. A relation between molecular weight and solution viscosity is suggested for these and similar polymers, based on Happel's theory of the viscosity of suspensions of rigid spheres.
Derek B.V. Parker, J. Barry Myers
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Specific decrease in solution viscosity of antibodies by arginine for therapeutic formulations.
Molecular Pharmaceutics, 2014Unacceptably high viscosity is observed in high protein concentration formulations due to extremely large therapeutic dose of antibodies and volume restriction of subcutaneous route of administration.
Naoto Inoue +3 more
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The Viscosity of Concentrated Suspensions and Solutions
, 1952An expression for the viscosity of solutions and suspensions of finite concentration is derived by considering the effect of the addition of one solute‐molecule to an existing solution, which is considered as a continuous medium.
H. Brinkman
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Viscosity of Polyelectrolytes Solutions in Nanofilms
Langmuir, 2010We use a thin film pressure balance to probe the rheological properties of thin liquid films. These films are made from mixed aqueous solutions of surfactants and polyelectrolytes. They drain under applied pressure in a noncontinuous way due to a stratification process of the polyelectrolytes network.
Regine von Klitzing +5 more
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The viscosity of dilute solutions
Journal of the Society of Chemical Industry, 1946AbstractDilute solutions of many simple binary mixtures conform to the viscosity relationship:— ηs=η0(1+kθ) Where η5 η0 are the viscosities of solution and solvent respectively, θ is the concentration and k is a constant. The constant k has an approximately linear relationship to the molecular weights of the solutes but varies for different homologous ...
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Viscosity of Polymer Solutions
The Journal of Chemical Physics, 1963In the expression for the viscosity of polymer solutions η=η0+[η]C+K[η]2C2+···, the Huggins constant K is calculated for hard spheres and for interpenetrable spheres of uniform segment density. For hard spheres K = 0.6909, and for soft spheres where K is larger, the dependence of K on the segment—segment interaction constant is given.
James M. Peterson, M. Fixman
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Viscosity of polyelectrolyte solutions
Die Makromolekulare Chemie, 1970AbstractThe viscosity behaviour of polyelectrolytes in solutions of low ionic strength has been investigated. The dependence of the viscosity on the degree of substitution, the molecular weight and the velocity gradient was studied in detail. The measurements were carried out in solutions of different ionic strength and the limiting intrinsic viscosity
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