An Incompressible Fluid in a Weakly Deformable Shell. Part I: Analysis of the Model

We consider the flow of a viscous incompressible fluid in a pipe when the boundary is a deformable shell of Naghdi type. We prove that the corresponding system of partial differential equations has a solution when the deformation of the shell is smooth and small enough. We propose an algorithm that uncouples the unknowns and prove its convergence.     

Nonlinear analysis of laser droplet generation by means of 0–1 test for chaos

We apply the recently improved version of the 0–1 test for chaos to real experimental time series of laser droplet generation process. In particular two marginal regimes of dripping are considered: spontaneous and forced dripping. The outcomes of the test reveal that both spontaneous and forced dripping time series can be characterized as chaotic, which coincides with the previous analysis based on nonlinear time series analysis.     

TE01-TE11 mode transducer

A transition between rectangular waveguide and circular groove guide is described. The composite transition consists of two sections. It is theoretically designed to provide both mode matching as well as low reflection coefficient. The performance of the transducer is plotted.The Project Supported by National Science Foundation of P. R. China     

中等规模多肽分子的2DNOESY实验问题

由于中等规模多肽在水溶液中运动的特殊性(ω₀τ_c≈1),2DNOESY谱上往往得不到相关讯息(采用合理的混合时间),而降低温度的余地也很小·本工作将少量氘代甲醇加到水溶液中,并将实验温度降到零下,实验取得成功。例如从一个九肽和一个十一肽的NOESY实验得到了很多残基内和残基间的NOESY相关讯息,足以作出归属并进一步计算质子间距离.     

Cd3Al2Ge3O12:Mn2+锗酸盐石榴石光谱性质

本文报道室温下Cd₃Al₂Ge₃O₁₂:Mn²⁺(简称CAGG:Mn²⁺)锗酸盐石榴石的漫反射光谱、激发和发射光谱.在UV光激发下,在CAGG中Mn²⁺离子发射强黄光,这是基质到Mn²⁺离子无辐射能量传递的结果.Mn²⁺的黄发射带是由一个弱的红带和一个强的绿带所组成.讨论了这两个Mn²⁺发射带的起因.     

准弹性激光光散射在血细胞检测中的应用

本文利用准弹性激光散射法和细胞电泳法对不同哺乳动物的红细胞,淋巴细胞、粒细胞进行检测,结果表明在一定条件下,不同类型的血细胞平均电泳速度有明显差别。这一结果为光散射法应用于血细胞检测提供了可能性。     

高掺镁LiNbO3晶体折射率温度系数的表示式

推导了掺５ｍｏｌ％ＭｇＯ的ＬｉＮｂＯ３晶体折射率温度系数的表示式。利用这些表示式可以计算２９３～４２８Ｋ温度和０．５３９８μｍ～１．３４１４μｍ波长范围内的折射率温度系度，结果表明：计算值和实验值的最大相对偏差是１２％，用具有最大相对偏差的折射率温度系数的计算值，计算１．０７９５μｍ波长的非临界相位匹配温度，其值为３８２．４Ｋ，它与实验值仅差６Ｋ。因此，本文得到的表示式，对于采用这种晶体，设计在上     

2×2拟线性双曲型守恒律组的粘性消失法(英文)

考虑2×2严格双曲型守恒律组(E),它是在Lax意义下真正非线性的,带有初始条件(Ⅰ)众所周知,在条件(M),(C),(Ⅴ)下,初值问题(E)、(Ⅰ)存在整体光滑解,(参看文[1,2])。然而在文中所采用的方法本质地用来求广义解。本文是用粘性消失法证明文[1]的结果。我们把这个结果看作用粘性消失法求(E)、(Ⅰ)的广义解的第一步。本文也可以看作文[4]的某种推广。在文[4]中,(E)是在Lagrange坐标下均熵气体动力学方程组,但无需条件(Ⅴ)。也是用粘性消失法求得光滑解。     

A Lot-sizing Model for Just-in-time Manufacturing

We consider the problem of determining lot sizes of multiple items that are manufactured by a single capacitated facility. The manufacturing facility may represent a bottleneck processing activity on the shop floor or a storeroom that provides components to the shop floor. Items flow from the facility to a downstream facility, where they are assembled according to a specified mix. Just-in-time (JIT) manufacturing requires a balanced flow of items, in the proper mix, between successive facilities. Our model determines lot sizes of the various items based on available capacity and four attributes of each item: demand rate, holding cost, set-up time and processing time. Holding costs for each item accrue until the appropriate mix of items is available for shipment downstream. We develop a lot-sizing heuristic that minimizes total holding cost per time unit over all items, subject to capacity availability and the required mix of items.     

Developing and Maintaining an Equity Index Fund

An index fund is a portfolio of shares designed to replicate the investment performance of a market index. The index represents the behaviour of the market as a whole. This paper describes the selection of an index fund which minimizes expected tracking error. Using a multivariate model of returns on shares, a development of a univariate model by Taylor, the selection problem is formulated as a quadratic programme. The effects of various constraints on tracking error are demonstrated. Several policies for the readjustment of a fund are examined in the context of the differing objectives of fund managers. As a general rule, regular readjustment is shown to be a more expensive policy than irregular updating.