Singularly perturbed nonlinear second order elliptic equation

In this paper, we study singular perturbation problems of some semi-linear second order elliptic equations with nonlinear boundary value conditions: where ε is a small positive parameter and u/ l is a directional derivative, which lies on an oblique vector (x,ε). We have given a construction of the asymptotic solutions and proof of their asymptotic correctness, which is based on the principle of contraction mapping.     

关于颗粒悬浮机理和悬浮动的讨论

从分析气体分子的悬浮和静水中Ｂｒｏｗｎ微粒的悬浮之机理出发,论述了重力场中粒子（分子、微粒等）的悬浮不一定需要其它外力,粒子本身的任何形式的无规则运动,达到一定强度后都能使粒子弥散悬浮．河流中的泥沙颗粒和气（水）力输送管道中的颗粒的悬浮也主要靠颗粒物的无规则运动．作用于颗粒的升力和其它力可改变颗粒悬浮沿高度的分布,但仅用这些力（若无任何无规则运动）无法解释颗粒的弥散悬浮状态．讨论了颗粒对流动阻力的双重作用：支持颗粒悬浮的湍流脉动因引入颗粒而削弱,这是颗粒的减阻作用;颗粒增阻的一个主要机制是,流体给予颗粒的水平动量在颗粒一壁面碰撞中不断地损失．用悬浮动概念解释颗粒引起的增阻是不正确的．     

Construction of wavelet bases with vanishing movement

IntroductionFourieranalysisisanimpotenttoolinpuremath.andappliedmath.,fromwhichOrthogonalbasesinspaceLZcanbeconstl'Uctedstartingfrome'".Nevertheless,e'"hasnolocality,soFourieranalysiscannotbeusedtolocalityanalysis.Asacontrast,waveletpreservestheadvantagesofFourieranalysis,andmeanwhileamendsthedisadvantages,fromwhich,orthogonalbasesofspaceLZcanbebuildedstartingfromamotherwavelethavingnormalityandlocality,whichmakestheProjectonthebasesofsomenormaloperators,lineColderon-Zygmundoperator,almost…     

Unveiling the Hidden Movements in the Shuttling of Rotaxanes

Movements in molecular machines are usually diverse and coupled, but some of them are often implicit and hard to be observed in experiments. In the present work, the two-or three-dimensional free-energy landscapes characterizing the coupled shuttling and other movements of a series of pH-triggered rotaxanes composed of a crown ether and an H-shaped axle with distinct number of phenyl rings(n=1-3) have been explored. The results show that although the calculated free-energy barriers against shuttling in the rotaxanes(n=2 and 3) change slightly, the movements coupled with the shuttling vary significantly with the axle length. At high pH, the shuttling in the rotaxane of n=2 is coupled with the isomerization of the wheel, while the shuttling in the one of n=3 is accompanied by both the isomerization and the rotation of the macrocycle. In addition, the crown ether underwent greater conformational change during shuttling at low pH compared to that at high pH. These results indicate that disentangling the coupled movements is important to reveal the underlying molecular mechanism of the shuttling.     

丰度坐标系中岩浆岩系REE的演化线运动参数

指出丰度坐标系具多维性和共轭性．其坐标轴具对偶性；探讨了REE演化线、REE演化线三参数(演化强度、演化方向、演化空间位置)及其物理含义；指出REE演化线三个参数是体系的实测参数．是研究天然体系中元素质量运移的基础数据；侧重讨论了其中一个参数——REE演化方向在REE演化线类型划分上的应用、演化线类型的符号表示及其对岩石成因类型进行判别的示例。     

新疆三类药用昆虫的资源状况及应用前景的预测

对新疆三类药用昆虫－芫菁、地鳖和蝉的研究表明，在已知的４１种芫菁中，有１１种种群数量较大，资源较为丰富，地鳖１种－黑冀地鳖和６种蝉类中的赭斑蝉资源亦佳，通过对三类药用昆虫药用有效成分的测定，亦证明具有良好的应用前景。     

用双光电门研究变加速运动

本文介绍了在气垫导轨上运用双光电门研究变加速运动的方法。     

地铁车站的客流模拟

本文以上海地铁车站（一号线）结构设计图为基础，对车站乘客流动状况建立随机模型，产生车站建成运行后乘客流动情况的模拟图形，从而验证车站设计的合理性，并可辅助车站设计。     

A UNIFIED ISOSTATIC DATUM AND ITS APPLICATION IN SEA LEVEL CHANGE RESEARCH

The necessity of establishing a Unified Isostatic Datum (UID) for studying the sea levelchanges along the coast of China is discussed in this paper. A so-called Coastal Land Ver-tical Movement Isostatic Datum (CLVMID) is established based on precise releveling dataperformed from the 1950s to 1980s and some coniunction releveling data with tide stations.All the data consists of about 250,000 km releveling lines and covers the whole mainland ofChina. As examples, datum corrections for sea level changes derived from two tide stationsand recent crustal vertical movement in the Yangtse Delta area relative to the datum aregiven to explain the significance of the isostatic datum in the research of the sea levelchange trend.     

振动分离流化床中沉积组分的运动速度

本文在槽式振动流化床中研究沉积组分的运动特性，分别考察了振动参数，振动角度及床体倾角对运动速度的影响，根据碰撞理论推导出沉积组分的抛掷高度和物料运动速度的计算式，同时与实验值进行了比较，且研究了振动参数和物料的运动速度对焦渣混合物的分选效率的影响。