修正的Navier—Stokes方程的再生性质和周期解

本文证明了由提出的修正的Navier-Stokes方程在小外力的条件下对t_1∈(0,T]存在唯一的初始速度分布使得相应的初边值问题的广义解具再生性质:(t_1)=(0)=.从而当外力还是时间t的周期函数时,是周期解.进而证明此周期解以指数方式吸引相应于同一外力但初值可任意的其它解.上述结论的证明基于对广义解v的导数v在空间L~∞(0,T;L~2(Ω))中估计.     

体育多媒体课件制作与应用教学设计与思考

体育多媒体课件制作与应用被列入体育教育专业的一门选修课程.对这门新兴学科教学大纲的设计要根据课件制作的要求和原则,合理构建教学结构和内容,统一安排教学时数,建立规范的考核方式.文章对此提出了一些建设性思考.     

图像处理中的数学问题

主要介绍了图像处理中应用最新和最广的数学方法之一，通过偏微分方程及变分原理和Euler-lagrange方程的应用，可以得到基于曲率的几何图像模型，使图像恢复光滑的边界，并指出了要解决的难点及热点问题．     

复杂机械系统实用故障诊断原则的研究

在总结现有诊断技术成功应用实例的基础上,提出了一种新的实用诊断原则-“最少试验故障模”原则,对于复杂的机械设备和系统,采用这种新的研究思路有利于降低研究难度,提高研究成果的实用性.还以滑动轴承为例,通过对滑动轴承主要失效形式和机理的分析,说明可将滑动轴承简化为-多输入（多种故障原因）-单输出（接触摩擦）的灰色系统模型,并以滑动轴承各种故障的共同特征-接触摩擦作为滑动轴承故障诊断研究的唯一故障基准模.根据上述研究思路,对静、动载荷工作条件下滑动轴承的故障诊断进行了大量的实验研究.实践表明,提出的诊断原则诊断效率高,实用性强,可借鉴用于许多领域的故障诊断.     

关于实践"三个代表"思想的若干思考

“三个代表”思想是在新的历史条件下对马克思主义的继承和发展，是马克思主义党建学说的伟大创新，是党的建设的基本原则，是判断党的建设的标准，是新时期全面加强党的建设的伟大纲领。“三个代表”只有在社会主义制度下才能实现，其核心是代表最广大人民的根本利益。     

Inhomogeneous Cosmologies, the Copernican Principle and the Cosmic Microwave Background: More on the EGS Theorem

We discuss inhomogeneous cosmological models which satisfy the Copernican principle. We construct some inhomogeneous cosmological models starting from the ansatz that the all the observers in the models view an isotropic cosmic microwave background. We discuss multi-fluid models, and illustrate how more general inhomogeneous models may be derived, both in General Relativity and in scalar-tensor theories of gravity. Thus we illustrate that the cosmologicalprinciple, the assumption that the Universe we live in is spatially homogeneous, does not necessarily follow from the Copernican principle and the high isotropy of the cosmic microwave background. We also present some new conformally flat two-fluid solutions of Einstein's field equations.     

The logarithmic norm. History and modern theory

In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in order to derive error bounds in initial value problems, using differential inequalities that distinguished between forward and reverse time integration. Originally defined for matrices, the logarithmic norm can be extended to bounded linear operators, but the extensions to nonlinear maps and unbounded operators have required a functional analytic redefinition of the concept.This compact survey is intended as an elementary, but broad and largely self-contained, introduction to the versatile and powerful modern theory. Its wealth of applications range from the stability theory of IVPs and BVPs, to the solvability of algebraic, nonlinear, operator, and functional equations. In memory of Germund Dahlquist (1925–2005).AMS subject classification (2000) 65L05     

The maximum principle for the Bergman space and the Möbius pseudodistance for the annulus

It is shown that the formula for the Möbius pseudodistance for the annulus yields better estimates than previously known for the constant in the Bergman space maximum principle.

     

Large deviation principle for enhanced Gaussian processes

We study large deviation principles for Gaussian processes lifted to the free nilpotent group of step N. We apply this to a large class of Gaussian processes lifted to geometric rough paths. A large deviation principle for enhanced (fractional) Brownian motion, in Hölder- or modulus topology, appears as special case.     

校园网设计规划研究

以西南交大郫县新校区的校园网规划为例,简述了整个校园网设计规划方案.