定常的磁流体力学方程的非线性Galerkin混合元法

提出了定常的磁流体动力学方程的一种非线性Galerkin混合元法,并导出非线性Galerkin混合元解的存在性和误差估计．     

定常的Navier-Stokes方程的非线性Galerkin混合元法及其后验估计

提出了定常的Navier-Stokes方程的一种非线性Galerkin混合元法,并导出非线性Galerkin混合元解的存在性和误差估计及其后验误差估计.     

The nonlinear nonlocal singularly perturbed problems for reaction diffusion equations

A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed. Foundation items: the National Natural Science Foundation of China (10071048); the “Hunfred Talents Project” by Chinese Academy of Sciences Biography: Mo Jia-qi (1937−)     

数字示波器实验内容的一个有趣拓展

在数字示波器实验中,我们引入一个利用压电陶瓷片观测实验者脉搏信号的实验内容。通过此实验,学生不仅能够进一步熟练数字示波器的相关使用功能,而且能够切身感受相关实验的测量方法,极大提高了学生的实验兴趣。     

MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION （Ⅰ）——THE CONTINUOUS-TIME CASE

An initial-boundary value problem for shallow equation system consisting of water dynamics equations, silt transport equation, the equation of bottom topography change, and of some boundary and initial conditions is studied, the existence of its generalized solution and semidiscrete mixed finite element (MFE) solution was discussed, and the error estimates of the semidiscrete MFE solution was derived. The error estimates are optimal.     

LED阵列光源应用于几何光学实验

设计并制作了单色LED、高功率白光LED阵列光源及配套电源,将其应用于普通物理几何光学实验中。在透镜焦距测量实验中,实现了光源和物屏的结合,成像效果好,光源稳定、可调,相比于卤钨灯光源,成本低,且环保、节能,散热小。     

我国居民消费与GDP的误差修正模型研究

本文从协整理论出发 ,对我国居民消费与GDP建立了误差修正模型 ,深入探索经济变量数据间的内在关系 ,发现两者间存在动态均衡关系 ,比传统计量经济模型更能充分利用社会信息 ,形成有效预期     

Singularly Perturbed Generalized Boundary Value Problems for Semilinear Elliptic Equation of Fourth Order

The singularly perturbed generalized boundary value problems for semi-linear elliptic equations of fourth order are considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of generalized solutions for the boundary value problems are studied.     

一类高阶拟线性椭圆型方程奇摄动边值问题

本文讨论了一类拟线性椭圆型方程奇摄动Dirichlet边值问题．在适当的条件下，利用不动点定理，研究了边值问题解的存在唯一性及其渐近性态．     

拓扑空间中一些新的不动点定理

介绍了我们在不动点定理方面的一些最新结果，包括：拓扑空间中Meir-Keeler型映象的不动点定理，有序拓扑空间中增算子和多值增映射的不动点定理，拓扑空间中压缩映象的不动点定理和多值映象的公共不动点定理。甚至在通常的度量空间，所有这些结果也是新的。