解三维抛物型微分方程的一族高精度显式差分格式

对求解三维抛物型微分方程利用待定参数法构造出截断误差为Ｏ（Δｔ２＋Δｘ４＋Δｙ４＋Δｚ４）的一族高精度的三层显式差分格式，并讨论了其稳定性．     

THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION

The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estiation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN,A)→0 are proved.     

非线性退化抛物型方程

In this paper we study a nonliner degenerate parabolic equation for the second boundary value problem.using the method of regularity we prove the existence and uniqueness of weak solution.     

一类具有粘性项的拟线性抛物型方程组*

研究了一类具有非线性源项和粘性项的拟线性抛物型方程组的初边值问题．通过构造稳定集, 证明了此问题整体解的存在性, 并建立了解的长时间行为．同时在放松函数的适当假设条件下, 得到了初始能量非负时解的爆破性质及解的生命区间估计．     

能动抛光磨盘的变形实验研究

 能动抛光磨盘实时产生不同的表面变形，在对大口径非球面光学元件进行精磨和抛光时实现与工件表面良好的大尺寸吻合，可以消除传统光学加工采用小尺寸磨头时带来的高频残余误差并提高加工效率。以加工直径1.3m左右，F/2的抛物面光学元件为例，对能动磨盘在不同离轴度时能够产生的变形进行了计算和实验。结果表明，能动磨盘能够以较高精度产生旋转对称或非对称的抛物面形状。对能动磨盘产生变形后的残余误差进行了分析。     

New method to solve electromagnetic parabolic equation

This paper puts forward a new method to solve the electromagnetic parabolic equation （EMPE） by taking the vertically-layered inhomogeneous characteristics of the atmospheric refractive index into account. First, the Fourier transform and the convo- lution theorem are employed, and the second-order partial differential equation, i.e., the EMPE, in the height space is transformed into first-order constant coefficient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coefficient matrix, the numerical solutions are designed. Through constructing ana- lytical solutions to the EMPE, the feasibility of the new method is validated. Finally, the numerical solutions to the new method are compared with those of the commonly used split-step Fourier algorithm.     

On the Rayleigh-Plateau instability

In this paper,we study the surface instability of a cylindrical pore in the absence of stress. This instability is called the Rayleigh-Plateau instabilty. We consider the model developed by Spencer et ...     

槽式太阳能集热与化学热泵耦合的复合发电系统

本文提出了一种抛物槽式太阳能集热与化学热泵耦合的复合发电系统,对其热力性能进行了分析,并研究了反应器中反应蒸汽温度、镜场加热给水温度等关键运行参数对系统性能的影响。研究了太阳能特征参数对系统性能的影响规律,分析了太阳直射辐照强度(DNI)高于设计工况时,储能材料氧化钙的量与DNI的关系。设计工况下,系统输出功335.7 MW,热效率为30.4%,发电效率23.6%。所提出的系统,为解决槽式太阳能单独热发电系统蒸汽参数低导致动力循环热效率低的难题提供了新途径。     

基于机器视觉的红外瞄具零位走动量检测系统

为满足红外瞄具零位走动量数字化、高精度的检测需求,设计了基于电荷耦合器件(CCD)机器视觉技术的红外瞄具零位走动量检测系统。提出一种新的零位走动量检测模型,依据检测系统的技术指标及要求,设计了离轴抛物面反射式准直光学系统及针孔靶。为减小由相机倾斜引入的测量误差,建立了相机姿态自适应校正模型,并首次将其应用于零位走动量测量中。设计了图像判读软件,采用重心法对靶标中的圆斑中心进行定位,利用泽尼克矩的旋转不变性,对边缘像素点进行细分。成功研制了一台样机,加工装调后进行了测试实验,结果表明,系统的不确定度优于0.02mil,能有效避免由相机倾斜引入的测量误差,满足红外瞄具零位走动量数字化、高精度测试要求。     

源项耦合的退化抛物型方程组解的爆破和整体存在

本文研究了一类描述可燃混合气体的热传播过程理论的退化抛物型方程组.借助于椭圆问题的特征值与特征函数理论,通过构造不同的上、下解得到了方程组解的整体存在与有限时刻爆破的条件.此结果不仅扩充了只讨论两个函数的半线性问题,并且证明了方程组中的系数ai,边界条件中的权重函数gi(x,y)以及指数li在决定问题解的爆破与否中起着关键的作用.