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We performed both parallel-molecular-dynamics simulations and integral-equation theory calculations on binary mixtures of Lennard-Jones particles.
      
However, the simultation analysis appears to be more promising since, in contrast to the integral-equation theory in which the spinodal lines can only be approched, information on the microscopic structure of the new phases can be obtained.
      
As for applications of this method to non-linear equations, the same technique allows us to obtain an efficient yet simple algorithm for the numerical solution of the Ambartsumian-ChandrasekharH-equation corresponding to a Neumann-series expansion.
      
This paper presents the results of calculations of electron drift velocity, mean energy and ionization, and attachment coefficients in SF6: C3H8: He mixtures performed according to the multiterm Boltzmann-equation analysis.
      
Analysis of the evolution of perturbations in a magnetized collisionless plasma with an integral-equation technique
      
Global Behavior of the Solutions of a Max-Equation and of a System of Two Max-Equations
      
In this paper we study the existence of generalized invariants, the periodicity, the boundedness and persistence of the solutions of a Max-equation and of a system of two Max-equations.
      
Being constrained by a statistical history that effectively begins in 1993, it uses high frequency data and principal components analysis to construct a single-equation model that generates elasticities and is applied to two-quarter-ahead forecasts.
      
Based on the characteristics of these diagrams, the couple-equation method was improved, and the summation of specific classes of these diagrams is to an infinite order, and the resonant peaks with the widths are obtained first.
      
The homotopy formulas of (r, s) differential forms and the solution of-equation of type (r, s) on localq-convex domains in Stein manifolds are obtained.
      
The homotopy formulas on localq-convex domains have important applications in uniform estimates of-equation and holomorphic extension of CR-manifolds.
      
On the general equations, double hormonic equation and eigen-equation in the problems of ideal plasticity
      
Existence theorems for a class of Chandrasekhar H-equation with perturbation in transpory theory
      
Similar theory and the applicable ranges of one-equation and two-equation models
      
Here, we are discussing the applicable ranges of one-equation and two-equation turbulence models with the viewpoint of similar theory.
      
A K-ε two-equation turbulence model for the solid-liquid two-phase flows
      
A two-equation turbulence model has been developed for predicting two-phase flow.
      
In the examples, the boundary-value problems of the plate are solved by applying the Navier-equation's solutions and their closed-form solutions are obtained.
      
The intensities of spectral lines emitted by an axialsymmetric light-source and transformed by the Abel-integral-equation are given as a function of the distance from the axis.
      
According to the Saha-Langmuir-equation the ionization efficiency, at constant rate of arriving atoms, is a function of temperature passing a maximum at a certain high temperature (~1100°K).
      
 

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