投影的约化极小模和空间的夹角

Let M and N be nonzero subspaces of a Hilbert space H, and PM and PN denote the orthogonal projections on M and N, respectively. In this note, an exact representation of the angle and the minimum gap of M and N is obtained. In addition, we study relations between the angle, the minimum gap of two subspaces M and N, and the reduced minimum modulus of （I - PN）PM,     

An optimal‐order error estimate on an H1‐Galerkin mixed method for a nonlinear parabolic equation in porous medium flow

We present an H¹‐Galerkin mixed finite element method for a nonlinear parabolic equation, which models a compressible fluid flow process in subsurface porous media. The method possesses the advantages of mixed finite element methods while avoiding directly inverting the permeability tensor, which is important especially in a low permeability zone. We conducted theoretical analysis to study the existence and uniqueness of the numerical solutions of the scheme and prove an optimal‐order error estimate for the method. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010     

Integration of particle swarm optimization-based fuzzy neural network and artificial neural network for supplier selection

This study is intended to develop an intelligent supplier decision support system which is able to consider both the quantitative and qualitative factors. It is composed of (1) the collection of quantitative data such as profit and productivity, (2) a particle swarm optimization (PSO)-based fuzzy neural network (FNN) to derive the rules for qualitative data, and (3) a decision integration model for integrating both the quantitative data and fuzzy knowledge decision to achieve the optimal decision. The results show that the decision support system developed in this study make more precise and favorable judgments in selecting suppliers after taking into account both qualitative and quantitative factors.     

Convergence for a class of non-autonomous Nicholson’s blowflies model with time-varying coefficients and delays

This paper is concerned with a class of the generalized non-autonomous Nicholson’s blowflies model with time-varying coefficients and delays which is defined on the nonnegative function space. Under proper conditions, we employ a novel proof to establish some criteria to ensure that all solutions of this model converge to an equilibrium. Moreover, we give an example to illustrate our main result.     

Generalized Glimm scheme to the initial boundary value problem of hyperbolic systems of balance laws

In this paper we provide a generalized version of the Glimm scheme to establish the global existence of weak solutions to the initial-boundary value problem of 2×2 hyperbolic systems of conservation laws with source terms. We extend the methods in [J.B. Goodman, Initial boundary value problem for hyperbolic systems of conservation laws, Ph.D. Dissertation, Stanford University, 1982; J.M. Hong, An extension of Glimm’s method to inhomogeneous strictly hyperbolic systems of conservation laws by “weaker than weak” solutions of the Riemann problem, J. Differential Equations 222 (2006) 515-549] to construct the approximate solutions of Riemann and boundary Riemann problems, which can be adopted as the building block of approximate solutions for our initial-boundary value problem. By extending the results in [J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965) 697-715] and showing the weak convergence of residuals, we obtain stability and consistency of the scheme.     

ZnS:Ho3+的光谱特性

本工作系统地研究了Ho3+在ZnS中的光谱特性。利用不同激发波长的发射光谱、激发光谱和发光衰减鉴别出29000-14000cm-1范围内的激发谱线和发射谱线所对应的跃迁。共观察到5G5′,5G4,5G5,5G6,3K8,5F2,5F3和5S2八个4f能级的发射和5G6,5G5,3K7,3H6和5G3(3L9)五个4f能级的激发。由发射光强随温度的变化规律,研究了Ho3+的5G5′和5G4,5F3和5S2能级间的多声子弛豫过程以及5G6,3K3,5F2和5F3能级间的热平衡过程。通过近带边激发下的发光行为,提出Ho3+在ZnS中的近带边激发下发光是借助于能量传递过程,不同激发态借助不同的传递途径,而且不同的发光中心也具有不同的传递机制。     

GaAs1-xPx中混晶无序与Fe深中心的性质

对不同组分的掺FeⅢ-Ⅴ族混晶GaAs1-xPx,测量了Fe深受主中心空穴热发射的非指数恒温暗电容瞬态及DLTS谱。用混晶无序使Fe深能级展宽的模型理论拟合实验结果,得到Fe能级Gauss型展宽的半宽和中心能级的热发射率,并确定出基态空穴跃迁的中心能级的焓变与组分的关系:先是减少,而后增大,与由光电容方法得到的Gibbs自由能变量与组分x的关系明显不同。 进一步讨论表明,上述两种测量方法得到的Fe中心的激活能不同,可能反映Fe中心的键合状态和混晶无序诱导的品格弛豫的影响。     

稀土配合物-PAA-g-PE膜的荧光光谱

通过紫外光接枝聚合反应 ,将丙烯酸 (AA)接枝于PE膜表面 ,在一定 pH值条件下 ,使接枝膜与Eu3+、α 噻吩甲酰三氟丙酮 (TTA)的乙醇 水溶液或Tb3+、乙酰丙酮 (AcAc)的氯仿 水溶液作用 ,制得红色或绿色荧光膜。与相应的Eu(TTA) 3·(H2 O) 2 或Tb(AcAc) 3·(H2 O) 2 固态配合物相比 ,荧光膜的激发和发射光谱都发生了明显的变化 ,可以推测 ,稀土配合物与高分子材料之间发生了化学键结合。此外 ,还对荧光膜的红外光谱进行了观察。     

Optimal intensity control of a multi-class queue

We study a mixed problem of optimal scheduling and input and output control of a single server queue with multi-classes of customers. The model extends the classical optimal scheduling problem by allowing the general point processes as the arrival and departure processes and the control of the arrival and departure intensities. The objective of our scheduling and control problem is to minimize the expected discounted inventory cost over an infinite horizon, and the problem is formulated as an intensity control. We find the well-knownc is the optimal solution to our problem.Supported in part by NSF under grant ECS-8658157, by ONR under contract N00014-84-K-0465, and by a grant from AT&T Bell Laboratories.The work was done while the author was a postdoctoral fellow in the Division of Applied Sciences, Harvard University, Cambridge, Massachusetts 02138.     

Mo2C膜表面粗糙化规律的计算机模拟

引入晶粒边界修正,改进了Ｍｏ２Ｃ膜表面粗糙化物理模型,将ＤＴ２模型推广到包括有温度的情况对Ｍｏ２Ｃ膜表面形态进行计算机模拟并统计模拟图的高度分布,确定表面粗糙度随沉积时间和基底温度的变化规律,结果表明：引入晶粒边界修正大大促进了理论与实验结果的一致,Ｍｏ２Ｃ膜表面粗糙化属快速粗造化,粗造度随基底温度升高在而非线性地增大。