含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性北大核心CSCD

研究了有界区域上含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性,通过证明过程族的一致吸收集存在和一致条件(C)成立,得到了含非线性阻尼的2D g-Navier-Stokes方程一致吸引子存在.     

关于随机变量期望方差的两个注记

文献[1]中给出了有关条件期望与三个随机变量独立的两个充要条件,本文通过几个反例说明其充分性是不成立的.分析了文献[4]中一个定理证明存在的错误,并给出了新的证明.     

Boundedness of solutions of nonlinear systems of differential equations

We first give an example to illustrate that the results in [12] concerning the boundedness of solutions of nonlinear oscillatory equations are not true. And then we obtain sufficient or necessary conditions for the boundedness of solutions of the nonlinear system of differential equations

Criticality and phase transitions in ionic fluids

Recent experimental investigations of criticality and phase separation in ionic fluids have revealed behavior of great theoretical interest. In seeking to understand the experiments, some of which appear to exhibit argonlike criticality and some of which exhibit classical (mean-field) criticality, a convenient starting point is the restricted primitive model (RPM) of symmetrically charged hard spheres, all of equal diameter , each sphere bearing a positive or negative charge of magnitudeq. There is overall charge neutrality, so that the expected number densities of the anions and cations are equal, ₊= _-. Studies of RPM charge-charge and density-density correlation functions indicate that the fluctuation-suppressing mechanism that yields mean-field critical behavior in nonionic systems with long-range interparticle potentials is not operative in the RPM. On the basis of plausible assumptions, Ising-like behavior is instead expected. The above work is summarized. New work of Zhang and the author is outlined, showing that when one loses the RPM symmetry (through, e.g., different valence, diameter, or dipole moment of anions and cations) a strong coupling between charge-charge and density-density correlation ensues. The way in which this can be expected to give rise to mean-field or mean-field-like behavior is noted. Other new observations concern the mean-field analogy found by Høye and the author between the parameter 2/(d–2) (d is the dimensionality) in that model and the monomer number in high polymers, with respect to the coexistence-curve shape dependence on those parameters.     

用于空间BIB探测器的0.3 W@4.2 K大冷量轻量化低温系统

大阵列BIB探测器由于其高量子效率和低暗电流而成为广泛的研究对象,特别是在空间应用方向。如2021年发射的詹姆斯韦伯太空望远镜,它已经进行了许多重要的天文观测。一个稳定、高效、轻量化的液氦温区低温系统对BIB探测器的运行至关重要。氦节流制冷机可取代传统的大容积液氦杜瓦,能满足空间液氦温区的制冷要求。为了同时提高4.2 K的制冷量并减轻重量,提出了一种0.3 W@4.2 K的大冷量轻量化的4.2 K低温制冷系统。并且在现有0.1 W@4.1 K制冷量的低温系统上进行实验,验证了该系统的设计方法。在不同的冷却温度区采用不同的冷却方法,以实现冷却的高效性和轻便性。开发了一个新的集成斯特林制冷机,在80 K时提供高效的一级预冷,制冷量为15 W,重量仅为4.5 kg;二级预冷采用主动活塞调相的15 K脉管制冷机,制冷量为0.9 W。此多级低温制冷系统通过耦合氦气JT循环,可以在4.2 K时提供0.3 W的制冷量,输入功低于1.8 kW。此系统将为正在快速发展的红外天文观测所需的空间BIB探测器提供保障。     

SVPWM教学研究之重点解析

SVPWM是电力电子技术教学中的重要内容,本文对空间矢量调制的教学重点做了一个较为全面系统的梳理。重点阐述SVPWM的核心思想,特别是三相正弦交流电SVPWM的基本原理,严格证明了三相电压的空间矢量相等与线电压相等等价。同时,证明在SVPWM下,逆变器输出的最大圆为基本空间矢量构成的正六边形的内接圆、直流母线电压利用率提高了约15.4%。     

脉冲位置键控系统误比特性能分析

梳理基于等待门限判决的脉冲位置键控系统相关文献资料,发现文献给出的误比特率(BER)理论公式不能准确描述系统误比特率,尤其是在低信噪比情况下一些理论公式计算的误比特率已经高于0.5,超过了通信系统误比特率上限,不符合通信理论。分析了各文献资料误比特率理论公式推导过程中的问题所在,推导得到了一个新的误比特率理论公式。进行了数值仿真,结果表明,新的误比特率理论公式与仿真吻合良好,能够准确描述系统误比特率,并且在低噪比下计算的误比特率不高于0.5,符合通信理论。在新的误比特率理论公式基础上,分析了基于等待门限判决的脉冲位置键控系统能量效率,并与二进制相移键控(BPSK)系统进行了比较,表明基于等待门限判决的脉冲位置键控系统是一种具有较高能量效率的系统,在一定条件下甚至优于BPSK系统。     

The Newton modified barrier method for QP problems

The Modified Barrier Functions (MBF) have elements of both Classical Lagrangians (CL) and Classical Barrier Functions (CBF). The MBF methods find an unconstrained minimizer of some smooth barrier function in primal space and then update the Lagrange multipliers, while the barrier parameter either remains fixed or can be updated at each step. The numerical realization of the MBF method leads to the Newton MBF method, where the primal minimizer is found by using Newton's method. This minimizer is then used to update the Lagrange multipliers. In this paper, we examine the Newton MBF method for the Quadratic Programming (QP) problem. It will be shown that under standard second-order optimality conditions, there is a ball around the primal solution and a cut cone in the dual space such that for a set of Lagrange multipliers in this cut cone, the method converges quadratically to the primal minimizer from any point in the aforementioned ball, and continues, to do so after each Lagrange multiplier update. The Lagrange multipliers remain within the cut cone and converge linearly to their optimal values. Any point in this ball will be called a hot start. Starting at such a hot start, at mostO(In In ^-1) Newton steps are sufficient to perform the primal minimization which is necessary for the Lagrange multiplier update. Here, >0 is the desired accuracy. Because of the linear convergence of the Lagrange multipliers, this means that onlyO(In ^-1)O(In In ^-1) Newton steps are required to reach an -approximation to the solution from any hot start. In order to reach the hot start, one has to perform Newton steps, wherem characterizes the size of the problem andC>0 is the condition number of the QP problem. This condition number will be characterized explicitly in terms of key parameters of the QP problem, which in turn depend on the input data and the size of the problem.Partially supported by NASA Grant NAG3-1397 and National Science Foundation Grant DMS-9403218.     

Chapter 15 DEA/AR analysis of the 1988–1989 performance of the Nanjing textiles corporation

This article employs new data envelopment analysis/assurance region (DEA/AR) methods to evaluate the efficiency of the 35 textile factories of the Nanjing Textiles Corporation (NTC), Nanjing, China. The returns to scale (RTS) of these factories were studied without assuming that the optimal DEA solutions were unique. All DMUs are identified with pointsE (Extreme Efficient),E (Efficient but not an extreme point) andF (Frontier but not efficient). We then further identify the nonfrontier DMUs with pointsNE, NE andNF according to whether they are projected onto a point inE, E, orF en route to evaluating their performances. All of the inefficient factories were in classNF and had unique optimal primal-dual solution pairs. Consequently, the solution pairs satisfy the strong complementary slackness condition (SCSC). Application of cone-ratio (CR) ARs reduced significantly the number of factories in classE, and showed that some AR-efficient factories were more flexible in adopting the mixture of central planning and market economies that China currently is trying to use. Also, linked-cone (LC) ARs were applied to measure maximum and minimum profit ratios. The SCSC multiplier space approach was utilized to analyze the sensitivity of the efficiency results to potential errors in the data with and without ARs. The results in this article suggest that collective units had a better performance than state-owned units in the two consecutive years analyzed.This paper was written while the author was at the School of Economics and Management, Southeast University, Nanjing 210018, P.R. China.     

示差脉冲伏安法测定黄酒中的酪氨酸

本文研究了硼砂介质中镍与酪氨酸络合物的示差脉冲吸附伏安特性，实验了仪器参数对示差脉冲阴极吸附伏安法的影响，在最佳条件下络合物峰电流与酪氨酸浓度在２．０×１０＾－７～４．０×１０＾－５ｍｏｌ．Ｌ＾－１范围内有线性关系，并以此法测定了黄酒中酪氨酸的含量。