完整Coriolis力作用下带有外源强迫的非线性KdV方程

利用摄动方法,从描写既有Coriolis力垂直分量又含有水平分量的位涡方程出发,给出了近赤道非线性Rossby波所满足的具有外源强迫的非线性KdV方程,并利用Jacobi椭圆函数展开法,求解了改进后的非线性KdV方程的行波解及孤立波解.通过分析KdV方程的行波解,指出Coriolis力的水平分量和外源对Rossby波动的影响.     

控制论的拓荒者——关肇直同志

<正>在人类进入智能自动化历史新时代之际,我们看到,控制论、系统论、信息论和系统工程、智能控制(简称"三论")等这些科学理论和技术学科在社会物质文明和精神文明发展过程中发挥着越来越大的作用,至今是互联网、移动通讯和人工智能的理论和技术基础.在工厂矿山、交通运输、农业工程、油田、煤矿的开采,以至在现代国防装备的研制和应用、计划管理工作中,到处都强烈地感觉到"三论"科学技术的基础作用.就是那已为人民造福的三峡工程和都江堰工程改造也从这"三论"中汲取新知."三论"已大踏步地进入了社会科学     

Equivalent Antisymmetry Performance of Three—Dimensional Heterogeneous Anisotropic Composites

Starting from the physical features of materials, heterogeneous anisotropic composites (HAGs) are analysed on the basis of the understanding and applications of its equivalent antisymmetry performance. Moreover, the design parameter is optimized to attain the goal of maximizing the use of materials, which is quite meaningful. The HAG structure is defined as a kind of equivalent structures according to the structure and properties of materials.We apply the mature plate theory and the composite materials laminate theory in analysis of the HAG structure,and in this way a new concept and a new idea are expected.     

缓变下垫面对浅水方程的动力学订正

讨论了当下垫面随时间缓慢变化时浅水方程的形式. 从控制大气运动的连续性方程和动量方程出发, 将下垫面的缓慢变化作为一个小量叠加到固有下垫面函数上, 利用大气的上下边界条件, 得到改进的浅水方程. 在改进的浅水方程中, 由缓变局部水平体积散度, 订正了局部水平体积散度和流体局部厚度变化之间的平衡, 在此基础上得到包含下垫面缓变的涡度方程.     

正压流体中具有β效应与地形效应的强迫Rossby孤立波

正压流体中,从有外源的准地转位涡方程出发采用摄动方法和时空伸长变换推导了具有β效应、地形效应和外源的强迫Rossby孤立波方程,得到孤立Rossby波振幅的演变满足带有地形与外源强迫的非齐次 Boussinesq方程的结论. 通过分析孤立Rossby波振幅的演变,指出β效应、地形效应以及外源都是诱导Rossby孤立波产生的重要因素,说明在地形强迫效应和非线性作用相平衡的假定下,Rossby孤立波振幅的演变满足非齐次Boussinesq方程,给出在切变基本气流下地形和正压流体中R     

SIZE AND SHAPE DEPENDENCE OF THE LOWEST CONDUCTION BAND STATES IN GaAs QUANTUM DOTS

Using a recently developed new scheme, we investigated the electronic structure of the lowest conduction band states of cuboid GaAs quantum dots with different shapes and sizes in a wide range from 4 to 120a (a is the lattice constant). The critical edge length of the direct/indirect crossover in GaAs cuboid quantum dots depends on the size and shape of the quantum dots. As a deduction we also discussed the critical size of dlrect/indirect transition in GaAs quantum wires and thin films.     

1，3，5－取代吡唑－4－亚甲基环丙烷羧酸酯的合成及生物活性

１，３，５－取代吡唑－４－亚甲基环丙烷羧酸酯的合成及生物活性黄润秋，宋健，冯磊（南开大学元素有机化学研究所，元素有机化学国家重点实验室，天津，３０００７１）关键词吡唑，环丙烷羧酸酯，杀虫剂，杀病毒剂吡唑类杂环化合物有广泛的生物活性，并有若干高效的杀虫...     

通过快速定点突变表征人源含硒单链抗体酶的底物结合部位

为了对人源含硒单链抗体酶Se-scFv-B3的底物结合部位和催化基团进行研究,在理论预测的基础上,通过快速定点突变法分别在2个理论预测的底物结合部位(位点1和位点2)内选定Ala180和Ala44定点突变为丝氨酸(Ser).2个突变体蛋白经化学修饰将Ser转变成谷胱甘肽过氧化物酶(GPX)的催化基团硒代半胱氨酸(Sec)后,前者的GPX活力达到了Se-scFv-B3的2倍多,而后者的GPX活力没有明显提高,这表明位点1可能是主要的底物结合部位,与理论预测的结果一致.     

单层硅Si6H4Ph2的稳定性和电子结构密度泛函研究

采用密度泛函计算方法,研究了二维单层硅Si6H4Ph2的稳定性及其电子结构．通过对纯硅纳米片Si6、加氢钝化的硅纳米片Si6H6以及添加苯基钝化的硅纳米片Si6H4Ph2对比研究,揭示了Si6H4Ph2的稳定性机理．通过电子结构研究,发现Si6H4Ph2与Si6H6类似,显示间接带隙半导体性质．     

H?LDER CONTINUITY FOR THE PARABOLIC ANDERSON MODEL WITH SPACE-TIME HOMOGENEOUS GAUSSIAN NOISE

In this article, we consider the Parabolic Anderson Model with constant initial condition, driven by a space-time homogeneous Gaussian noise, with general covariance function in time and spatial spectral measure satisfying Dalang's condition. First, we prove that the solution(in the Skorohod sense) exists and is continuous in L~p(?). Then, we show that the solution has a modification whose sample paths are H?lder continuous in space and time,under the minimal condition on the spatial spectral measure of the noise(which is the same as the condition encountered in the case of the white noise in time). This improves similar results which were obtained in [6, 10] under more restrictive conditions, and with sub-optimal exponents for H?lder continuity.