三层流体界面内波的二阶Stokes解

以小振幅波理论为基础，利用摄动方法研究了三层密度成层状态下的界面内波，求得了三层成层状态下各层速度势的二阶渐近解及界面内波波面位移的二阶Stokes解.结果表明：一阶解为正弦波解，与传统线性理论的结果相一致；二阶解描述了界面波的二阶非线性修正及两界面波之间的非线性相互作用；一阶解及二阶解都依赖于各层流体的厚度及密度.Umeyama导出的理论结果为本文的特殊情形. 关键词： 三层密度成层流体 内波 二阶Stokes解 小振幅波理论     

制造企业服务化绩效评价指标体系研究

采用扎根理论方法建立指标全集,通过指标重要性分析、相关性分析以及信效度检验“三层筛选”,设计制造企业服务化绩效评价指标体系。研究结果表明,制造企业服务化绩效由产品绩效、顾客绩效、财务绩效和市场绩效4个维度构成,指标体系涵盖12个二级指标,具有较好的信度和效度。研究结论为企业评价和相关实证研究提供了理论依据。     

Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator

In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with $p$-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results.     

Time‐periodic solution to the compressible nematic liquid crystal flows in periodic domain

In this paper, we consider the time‐periodic solution to a simplified version of Ericksen‐Leslie equations modeling the compressible hydrodynamic flow of nematic liquid crystals with a time‐periodic external force in a periodic domain in . By using an approach of parabolic regularization and combining with the topology degree theory, we establish the existence of the time‐periodic solution to the model under some smallness and symmetry assumptions on the external force. Then, we give the uniqueness of the periodic solution of this model.     

聚合物及其混合物的太赫兹介电性质测定与分析方法

聚合物材料因其对太赫兹波的高透过率以及良好的塑形能力在太赫兹研究中扮演了重要的角色,由于材料的介电特性直接关系着折射率、极化率等重要性质,不同的应用场合通常需要材料呈现出特殊的太赫兹介电响应,一方面可以选取不同的聚合物材料,另一方面可以通过多种聚合物的混合实现材料介电性质的调制。聚合物材料合理的选取和设计建立在材料太赫兹介电精确表征之上,然而利用太赫兹时域光谱系统(THz-TDS)对聚合物材料进行透射式太赫兹介电表征时,材料内部空气孔隙的存在会影响表征结果的复现性,同时也会影响共混聚合物介电性质的分析和预测。因此以Landau, Lifshitz, Looyenga(LLL)模型为基础提出了考虑空气影响的介电分析模型,并选取了在太赫兹研究中广泛使用的聚合物材料聚乙烯(PE)和聚四氟乙烯(PTFE)对模型的有效性和稳定性加以验证,展开了两种材料单质和混合物两方面的介电分析。在太赫兹波透射样品之后的相位变化信息中提取出样品的介电常数,同一种物质制备的样片间太赫兹介电谱存在明显差异,使用包含气隙影响的LLL模型处理实验数据后,样品介电常数中空气的介电影响被移除,从而得到了两种材料的本征介电常数,在此基础上,使用测得的本征介电常数和混合物样品中两种材料的体积占比信息代入包含气隙影响的LLL模型计算得到了不同配比混合物的太赫兹介电常数的模拟值,并与THz-TDS实验获取的实验值进行了对比。利用所提出的有效介质模型,聚乙烯和聚四氟乙烯在10～40 cm-1波段内移除空气影响后的平均介电常数为2.315±0.003（±0.13%）和2.109±0.003（±0.14%）,在不同重量、不同厚度的单组份样品间模型测定的聚合物介电常数保持了良好的重复性,在对混合物的太赫兹介电性质测定与分析中,利用模型计算的混合物介电常数模拟值与THz-TDS测定的介电常数实验值保持了高度线性相关,其相关系数为0.964 3,全局相对误差为1.08%,体现了模型的可靠性。提出的介电分析模型可以扩展到更多的高分子材料单质及其混合物的太赫兹介电性质表征中,对太赫兹波段的共混聚合物材料设计具有参考价值。     

用不确定德尔菲法预测GDP

德尔菲法是一种建立在专家意见基础上的预测评估方法.不确定统计是利用不确定理论收集和整理分析专家数据的一种统计方法,其中关键的一点是如何构造不确定变量的不确定分布.把德尔菲法和不确定统计相结合,就得到了一种估计不确定分布的新方法——不确定德尔菲法.对该方法的估计误差进行了改进,得到了一种预测GDP的新方法,并利用其预测邯郸市的生产总值(GDP).     

Spin‐polarized electron gas in Co2M Si/SrTiO3 (M = Ti,V, Cr,Mn, and Fe) heterostructures

Spin‐polarized density functional theory is used to study the TiO₂ terminated interfaces between the magnetic Heusler alloys Co₂Si (M = Ti, V, Cr, Mn, and Fe) and the non‐polar band insulator SrTiO₃. The structural relaxation at the interface turns out to depend systematically on the lattice mis‐ match. Charge transfer from the Heusler alloys (mainly the M 3d orbitals) to the Ti d_xy orbitals of the TiO₂ interface layer is found to gradually grow from M = Ti to Fe, resulting in an electron gas with increasing density of spin‐polarized charge carriers. (© 2016 WILEY‐VCH Verlag GmbH &Co. KGaA, Weinheim)     

Complex classical fields: An example

We study complex, classical, scalar fields within a new framework introduced in a previous work. We replace the usual functional integral by a complex functional arising from a boosted Hamiltonian. We generalize the Feynman–Kac relation to this setting, and use it to establish the spectral condition on a cylinder. We consider also positive-temperature states.     

富勒烯C20四聚体的结构与性能研究

采用密度泛函理论(DFT)中的杂化密度泛函(B3LYP)方法, 在6-31 G基组水平上对C₂₀四聚体进行了几何参数全优化, 得到了基态构型, 并对其稳定性、电子结构、极化率和芳香性进行了计算研究. 结果表明: C₂₀碳笼以[2+2]加成方式结合形成C₂₀四聚体, 具有良好的热力学稳定性; C原子内部以sp²的方式杂化, C原子之间有少量电荷转移; C₂₀ 四聚体的IR和Raman光谱都有较多的振动峰; 随碳笼数的增加, C₂₀聚合物中原子间的成键相互作用随之增强; C₂₀四聚体具有芳香性.     

Investigations of Viscous Dissipation in Stagnation Point Flow Past a Stretchable Riga Wall: Modern Analysis of Heat Transport

This article scrutinizes the features of viscous dissipation in the stagnation point flow past through a linearly stretched Riga wall by implementing Cattaneo-Christov heat flux model. Viscous dissipation is carried out in Cattaneo-Christov diffusion analysis for the first time in this letter. As a result of Cattaneo-Christov model, some extra terms of viscous dissipation are appeared in the energy equation. These extra terms of viscous dissipation are missing in the literature. On the utilization of suitable transformations, the equations governing the problem are reduced under the boundary layer approximation into the non-linear and dimensionless ordinary differential equations. Convergent approach is utilized to solve the dimensionless governing equations. The solution thus acquired is used to highlight the effects of emerging parameters on velocity distribution and fluid's temperature through the graphs. Features of the drag force (or skin friction co-efficient) are graphically interpreted. It is noticed that the presence of modified Hartman number helps to reduce the fluid's temperature but enhances the velocity profile. Further an enlargement in the value of thermal time relaxation parameter helps to decrease the temperature distribution.