Microscope Supported Measurement of Exact Volume of Solutions in Pycnometer to Calculate the Density of Solutions

2017 ◽  
Vol 4 (3) ◽  
pp. 20
Author(s):  
M. Mohamed Roshan ◽  
G. Roy Richi Renold
Keyword(s):  
Density Of Solutions

Calculation of the density of solutions from the structural data of their components

1995 ◽  
Vol 36 (3) ◽  
pp. 514-516 ◽  
Author(s):  
V. A. Potyomkin ◽  
A. V. Belik ◽  
V. B. Krasilnikov
Keyword(s):  
Structural Data ◽  
Density Of Solutions

Concentration Dependences of the Surface Tension and Density of Solutions of Acetone–Ethanol–Water Systems at 293 K

2018 ◽  
Vol 92 (5) ◽  
pp. 1041-1042
Author(s):  
R. Kh. Dadashev ◽  
R. S. Dzhambulatov ◽  
V. Kh. Mezhidov ◽  
D. Z. Elimkhanov
Keyword(s):  
Surface Tension ◽  
Water Systems ◽  
Concentration Dependences ◽  
Density Of Solutions

THE WAVE EQUATION ON A THIN DOMAIN: ENERGY DENSITY AND OBSERVABILITY

2004 ◽  
Vol 01 (02) ◽  
pp. 351-366 ◽  
Author(s):  
GILLES FRANCFORT ◽  
PATRICK GÉRARD
Keyword(s):  
Wave Equation ◽  
Energy Density ◽  
Three Dimensional ◽  
Cauchy Data ◽  
Linear Wave ◽  
Linear Wave Equation ◽  
Uniform Observability ◽  
Limit Energy ◽  
Dimensional Domain ◽  
Density Of Solutions

We compute the limit energy density of solutions of the linear wave equation in a thin three-dimensional domain, if the wavelength of the Cauchy data is bounded from below by the thickness of the domain. As an application, we obtain a geometric criterion for the uniform observability of solutions of a damped wave equation on such a domain.

scholarly journals Allen–Cahn approximation of mean curvature flow in Riemannian manifolds, II: Brakke's flows

2015 ◽  
Vol 17 (05) ◽  
pp. 1450041
Author(s):  
Adriano Pisante ◽  
Fabio Punzo
Keyword(s):  
Riemannian Manifolds ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Initial Conditions ◽  
Curvature Flow ◽  
Monotonicity Formula ◽  
Uniform Estimates ◽  
Cahn Equation ◽  
Motion By Mean Curvature ◽  
Density Of Solutions

We prove convergence of solutions to the parabolic Allen–Cahn equation to Brakke's motion by mean curvature in Riemannian manifolds with Ricci curvature bounded from below. Our results hold for a general class of initial conditions and extend previous results from [T. Ilmanen, Convergence of the Allen–Cahn equation to the Brakke's motion by mean curvature, J. Differential Geom. 31 (1993) 417–461] even in Euclidean space. We show that a sequence of measures, associated to energy density of solutions of the parabolic Allen–Cahn equation, converges in the limit to a family of rectifiable Radon measures, which evolves by mean curvature flow in the sense of Brakke. A key role is played by nonpositivity of the limiting energy discrepancy and a local almost monotonicity formula (a weak counterpart of Huisken's monotonicity formula) proved in [Allen–Cahn approximation of mean curvature flow in Riemannian manifolds, I, uniform estimates, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.; arXiv:1308.0569], to get various density bounds for the limiting measures.

The density of solutions of nickel in liquid bismuth at 800° C

1963 ◽  
Vol 10 (4) ◽  
pp. 363-364
Author(s):  
L.E. Richards ◽  
S.W. Strauss
Keyword(s):  
Liquid Bismuth ◽  
Density Of Solutions
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