碳富勒烯在水中的运动阻力特性

采用分子动力学(MD)方法,模拟了Cn(n=60,180,240,540)以及C60@C240富勒烯在水中的速度衰减过程,得到了它们的阻力一速度与阻力,雷诺(Re)数关系曲线;进而将MD模拟的阻力结果和低Re数宏观流体力学中球的Stokes阻力解进行了对比,研究表明,低Re数下,富勒烯在水中的阻力要比传统流体力学中球的Stoke解高两个数量级;富勒烯在水中的阻力可通过Stokes解乘以(110.38-1.48/Re)近似估算.     

A superconvergence result of the natural convection equations

This paper presents a superconvergence result of the stationary natural convection equations. The superconvergence result is obtained by applying a coarse mesh projection for finite element approximation. This projection method is actually a postprocessing procedure that constructs a new approximation based on a high order polynomial on coarse mesh, under some regularity assumption. Finally, numerical experiment is presented for testing, which confirms the theoretic analysis. Copyright © 2015 John Wiley & Sons, Ltd.     

A sufficient condition for Hamiltonian cycles in bipartite tournaments

In this paper, we present a new sufficient condition on degrees for a bipartite tournament to be Hamiltonian, that is, if an n × n bipartite tournament T satisfies the condition W(n - 3), then T is Hamiltonian, except for four exceptional graphs. This result is shown to be best possible in a sense.     

正交异性简支矩形底双曲扁壳大挠度问题的解析解

本文在文献[1,2]的基础上,进一步研究了富里叶级数在求解板壳大挠度问题中的应用。文中导出了简支边界条件下正交异性矩底双曲扁壳大挠度微分方程组的解析解。这个解可通用于板与壳、大挠度与小挠度、各向同性与正交异性在直角坐标下的多种情况。其数值结果与实验数据和其它解法结果相吻合。     

三线摆法测刚体的转动惯量所用近似方法对测量结果的影响

讨论了在推导转动惯量的测量公式时采用的近似方法对测量结果带来的影响,指出了减小其影响的途径.     

NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL SYSTEMS AND ITS APPLICATIONS

This article considers the Dirichlet problem of homogeneous and inhomogeneous second-order ordinary differential systems. A nondegeneracy result is proven for positive solutions of homogeneous systems. Sufficient and necessary conditions for the existence of multiple positive solutions for inhomogeneous systems are obtained by making use of the nondegeneracy and uniqueness results of homogeneous systems.     

禁用偶氮染料检测中假阳性结果的鉴别方法

全面比较了薄层色谱法、握相色谱法、液相色谱法（ＨＰＬＣ）、气相色谱－质谱联用法（ＧＣ／ＭＳ）在禁用偶氮染料检测中的优缺点。分析实际检测中假阳性结果产生的原因,研究了８种致癌芳香胺的１９种异构体在气相色谱和订色谱上的分离情况,提出取ＧＣ／ＭＳ和ＨＰＬＣ互为确证手段的阳性结果鉴别方法,可有效提高定性结果和准确性,避免假阳性结果。     

Full Bayesian analysis of claims reserving uncertainty

We revisit the gamma–gamma Bayesian chain-ladder (BCL) model for claims reserving in non-life insurance. This claims reserving model is usually used in an empirical Bayesian way using plug-in estimates for the variance parameters. The advantage of this empirical Bayesian framework is that allows us for closed form solutions. The main purpose of this paper is to develop the full Bayesian case also considering prior distributions for the variance parameters and to study the resulting sensitivities.     

Approximation by an iterative method of a low‐Mach model with temperature dependent viscosity

In this work, we prove the existence and the uniqueness of the strong solution of a low‐Mach model, for which the dynamic viscosity of the fluid is a given function of its temperature. The method is based on the convergence study of a sequence towards the solution, for which the rates are also given. The originality of the approach is to consider the system in terms of the temperature and the velocity, leading to a nonlinear temperature equation and the development of some specific tools and results.