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101.
Robens E. Keller J. U. Massen C. H. Staudt R. 《Journal of Thermal Analysis and Calorimetry》1999,55(2):383-387
In sorption measurements, volumetric or gravimetric procedures are commonly used to determine the amount adsorbed. At low
pressures, thermomolecular flow and pressure differences according to Knudsen's law disturb measurements. In volumetry, calibration
of the dead space is required; in gravimetry, the influence of buoyancy has to be taken into account. In both cases, adsorption
of the calibrating gas, usually helium, may disturb the measurements [1]. From the calibration measurements, the density of
the sample can in principle be calculated. However, it has been observed in many experiments that its value depends on the
calibrating gas.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
102.
George Stoica 《Acta Appl Math》2009,106(2):275-278
We prove a functional law of simple logarithm for the Ornstein-Uhlenbeck process with anticipating initial data.
相似文献
103.
莫嘉琪 《高校应用数学学报(英文版)》2003,18(4):403-411
Recently the nonlinear singularly perturbed problem has been investigated in theinternational academic circles[1 ,2 ] .Approximation methods have been developed andrefined,including the method of averaging,boundary layer method,matched asymptoticexpanision method and multiple scales method.Many scholars such as O' Malley,Jr.[3] ,Butuzov,Nefedov and Schneider[4] ,Kelley[5] ,Mizoguchi,Yanagida and Life[6] have done agreat deal of work.Using the method of differential inequality and other met… 相似文献
104.
Jing Wang 《Journal of Mathematical Analysis and Applications》2008,346(1):314-326
We consider a one-dimensional radiation hydrodynamics model in the case of the equilibrium diffusion approximation which is described by the compressible Navier-Stokes system with the additional terms in the pressure and internal energy respectively, which embody the effect of radiation. Under the physical growth conditions on the heat conductivity, we establish the existence and uniqueness of strong solutions to the Cauchy problem with large initial data, where the initial density and velocity may have differing constant states at infinity. Moreover, we show that if there is no vacuum in the initial density, then, the vacuum and concentration of the density will never occur in any finite time. 相似文献
105.
本文研究了任意初态的双光子Jaynes-Cummings模型的一般演化规律,着重于分析初始原子相干性对辐射场压缩行为的影响,作为例子,讨论了一个任意初态的二能级原子与真空态和相干态光场相互作用时辐射场的压缩.数值计算了各种条件下辐射场压缩的时间演化. 相似文献
106.
姚景齐 《应用泛函分析学报》2002,4(1):93-96
A是Banach空间X中余弦算子函数C(t),t∈R,和正弦算子函数S(t),t∈R,的生成元。本证明了,对每个f∈C([0,T];X),连续函数u,u(t)=∫-tS(t-s)f(s)ds,f∈[0,T]是二阶非齐次0初值问题,u″=Au f的强解的充要条件是:A是空间X中的有界算子。 相似文献
107.
本文讨论了差分方程的解对初值的连续性问题,对较一般的方程给出了保证解对初值连续的充分条件,对线性方程(组)利用系数矩阵的特征值给出其解对初值连续的条件. 相似文献
108.
We study the dynamical behavior of the discontinuous Galerkin finite element method for initial value problems in ordinary differential equations. We make two different assumptions which guarantee that the continuous problem defines a dissipative dynamical system. We show that, under certain conditions, the discontinuous Galerkin approximation also defines a dissipative dynamical system and we study the approximation properties of the associated discrete dynamical system. We also study the behavior of difference schemes obtained by applying a quadrature formula to the integrals defining the discontinuous Galerkin approximation and construct two kinds of discrete finite element approximations that share the dissipativity properties of the original method.
109.
层流中固体颗粒运动方程的初值问题解的存在唯一性表明悬浮颗粒在圆管层流人口段剪切区中的运动,由进入该区的颗粒初始状态(初始位置和初始速度)确定,其运动轨迹也由该初始状态唯一确定。层流中固体颗粒运动方程稳定性分析表明达到稳定状态的颗粒必定满足条件:up=uf(∞,c),up=0,Re(α/R)2(c/R)<2.8728. 相似文献
110.
In this paper new integration algorithms based on the Magnus expansion for linear differential equations up to eighth order are obtained. These methods are optimal with respect to the number of commutators required. Starting from Magnus series, integration schemes based on the Cayley transform an the Fer factorization are also built in terms of univariate integrals. The structure of the exact solution is retained while the computational cost is reduced compared to similar methods. Their relative performance is tested on some illustrative examples. 相似文献