Morita context of weak Hopf algebras

Let H be a finite-dimensional weak Hopf algebra and A a left H-module algebra with its invariant subalgebra A~H.We prove that the smash product A#H is an A-ring with a grouplike character, and give a criterion for A#H to be Frobenius over A. Using the theory of A-rings, we mainly construct a Morita context connecting the smash product A#H and the invariant subalgebra A~H , which generalizes the corresponding results obtained by Cohen, Fischman and Montgomery.     

A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS

In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order CrouzeixRaviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L2-norm are established, as well as one in broken H1-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.     

口腔医院系统发展对策生成与对策效应定量仿真评价

医院系统是一个复杂系统.对此,采用对策生成与对策实施未来效应仿真评价法对南昌大学口腔医院发展进行研究.首先,对南昌大学口腔医院发展进行了深入调查与数据分析,然后,建立7个增长正反馈环和4个制约负反馈环构成的增长制约反馈基模,揭示现行系统发展的优势和存在的问题,又围绕7个增长正反馈环和4个制约负反馈环的内涵,依据消除制约的原理,提出了消除负反馈环制约的两项管理对策.接着,对管理对策未来实施效应进行仿真评价,基于评价指标建立流位流率系,基于调查数据值及比较分析建立七棵入树的仿真方程,建立仿真模型,分别对南昌大学口腔医院系统发展两项对策实施状况进行仿真评价,定量论证了所制定的管理对策的科学性及实施的必要性,为南昌大学口腔医院十二五规划编制与发展提供了决策依据.     

关于内射模的P-平坦性

通过引用P-平坦模的定义,引入了右IPF环的概念,推广了右IF环的概念,这对研究IF环及QF环具有重要的作用,同时对右IPF环的性质作了一些刻画,得到了右IPF环的若干个等价命题;最后,用P-平坦模及右IPF环推出了正则环的一些等价条件．     

某一类控制系统中发生的指数偏差现象

我们考虑在某类控制系统中,以Lyapunov指数作为观测量,远离给定遍历测度的那些周期测度.对于这类周期测度的数量关于周期的指数增长率,我们将用测度熵在某个集合上的上界给出它的一个上限控制.     

水泥聚苯模壳格构式混凝土墙体的抗侧性能试验及分析

论文介绍6片不同高宽比的水泥聚苯模壳格构式混凝土墙体在轴压力和水平往复侧推力作用下的试验,分析这种墙体的抗侧强度、刚度和延性等力学性能.试验表明,高宽比大于1的墙体破坏时表现为墙体跟部的单一水平裂缝,其他部位完好;高宽比3∶4的墙体破坏时存在多条通过格构梁柱的斜向裂缝,墙体裂缝分布密集,变形能力好.     

Derivation of a second-order model for Reynolds stress using renormalization group analysis and the two-scale expansion technique

With the two-scale expansion technique proposed by Yoshizawa,the turbulent fluctuating field is expanded around the isotropic field.At a low-order two-scale expansion,applying the mode coupling approximation in the Yakhot-Orszag renormalization group method to analyze the fluctuating field,the Reynolds-average terms in the Reynolds stress transport equation,such as the convective term,the pressure-gradient-velocity correlation term and the dissipation term,are modeled.Two numerical examples:turbulent flow past a backward-facing step and the fully developed flow in a rotating channel,are presented for testing the efficiency of the proposed second-order model.For these two numerical examples,the proposed model performs as well as the Gibson-Launder (GL) model,giving better prediction than the standard k-ε model,especially in the abilities to calculate the secondary flow in the backward-facing step flow and to capture the asymmetric turbulent structure caused by frame rotation.     

基于ANSYS提取单相单向换能器耦合模参数

基于有限元理论,给出了基于ANSYS提取单相单向换能器（Single Phase Unidirectional Transducers,SPUDT）耦合模参数的方法。首先,结合声表面波在压电介质中的传播原理,给出了压电有限元分析方程和对应的ANSYS分析步骤。然后针对SPUDT结构,给出了周期性近似分析的理论模型,利用耦合场分析对其进行模态分析和谐响应分析,最后结合两者的结果来计算SPUDT的耦合模参数。本文给出基底材料为压电晶体128°YX-LiNbO₃和YZ-LiNbO₃,电极材料为铝的三种不同SPUDT的计算结果,理论结果与Hashimoto和Hartmann文献报道的结果相吻合,并且和实验测试的结果基本一致。从而给出了提取SPUDT耦合模参数的一种通用、有效的方法。     

n模耦合谐振子量子系统的精确波函数

利用不变本征算符法研究了n模耦合谐振子量子系统的简正频率及其对应的简正坐标与共轭动量,并对系统的哈密顿量进行了退耦合,得到了系统的明显的简正频率解析解.推导出坐标表象中系统的精确波函数的解析解.并对不同情形的耦合系数进行了讨论,认识到n模动量耦合谐振子体系和n模坐标耦合谐振子体系是本文所研究的体系的特例.     

包层模谐振特种光纤及传感特性研究

研究了一种具有双包层结构的包层模谐振特种光纤,该特种光纤具有一个低折射率内包层,基于耦合模原理,纤芯模与包层模之间发生谐振耦合,从而获得具有带阻特性的传输光谱.系统介绍了包层模谐振光纤的制备、传输原理及其弯曲、溶液折射率、折射率/温度双参量等传感特性.实验和理论研究结果表明,包层模谐振特种光纤对于弯曲、溶液折射率参量具...