Monotone Mappings and Flows of Viscous Media

We establish solvability of the boundary-value problems describing stationary and periodic flows of viscoplastic media. In the case of stationary flows we study the question of convergence of the Galerkin method. For the problem of periodic flows we prove a version of the second Bogolyubov theorem.     

L3C宇宙线实验中Z0数据的分析

μ子动量谱的精确测量是L3C宇宙线实验最重要的目标之一.事例重建的好坏是该测量的关键,而能量确定的衰变为双μ子的事例是检验重建程序的最好手段.该数据分析利用在2000年中获取的数据作为样本,筛选出了LEP在2000年4月、5月、8月和9月等Z⁰能量运行期间L3C宇宙线实验数据中记录的Z⁰→μ⁺μ^－事例数据,得到通过重建程序后动量为45GeV的μ子动量分辨率为(5.4?7±0.25)%.     

第二类变型Bessel函数的Chebyshev逼近

第二类变型Bessel函数Kn(z)在自变量趋于无穷时就是指数变小的，使用多项式逼近的方法求解往往误差很大．采用指数变换和J．P．Boyd的有理Chebyshev多项式计算第二类变型Bessel函数，得到了令人满意的在较大范围内有效的解．     

Galactic Metrics

The paths of stars in galaxies have circular velocity independent of their distance from the centre of the galaxy. Newtonian mechanics with a logarithmic potential has such paths. In relativity these paths can be taken to be geodesics and this requirement places a restricting equation on the spacetime metric. This equation has a non-unique spherically symmetric solution that in the Newtonian limit has a logarithmic potential. It also can be solved in terms of a conformal factor. In particular it has solutions which are conformal to the vacuum-Einstein solutions and such spacetimes are solutions to the vacuum-Bach equations. Therefore it is suggested that the Bach equations describe dynamics on galactic length scales.     

Maximal σ‐polynomials of connected 3‐chromatic graphs

In the set of graphs of order n and chromatic number k the following partial order relation is defined. One says that a graph G is less than a graph H if c_i(G) ≤ c_i(H) holds for every i, k ≤ i ≤ n and at least one inequality is strict, where c_i(G) denotes the number of i‐color partitions of G. In this paper the first ? n/2 ? levels of the diagram of the partially ordered set of connected 3‐chromatic graphs of order n are described. © 2003 Wiley Periodicals, Inc. J Graph Theory 43: 210–222, 2003     

西安事变前后中共对蒋政策之嬗变

以1936年下半年以来国共两党接触的相关文献和档案为基础,从更宽的视野中去追寻形成西安事变最终解决条件的若干历史细节,并由此得出三个结论:其一,事变解决的具体条件在事变发生之前即已被双方提及;其二,突发的西安事变使蒋氏在坚持改编红军的强硬前提下放弃了极端强硬的一些条件,而回到了事变前曾经提出过的一些框架之中;其三,中共在西安事变初期态度强硬,但最终却让步,这与蒋氏的强硬不无关系,蒋在事变中并非完全处于被动。     

常曲率空间中具有平行平均曲率向量子流形的不等式

设Mn是等距浸入在常曲率黎曼流形Nn p(c)中的n维紧致子流形,若Mn是极小的,有著名的Simons不等式.李安民等人改进了此不等式,现在进一步把它推广到常曲率黎曼流形的具有平行平均曲率的子流形的情形.     

Analysis and finite element simulations of a second‐order fluid model in a bounded domain

This article is concerned with the equations governing the steady motion of a viscoelastic incompressible second‐order fluid in a bounded domain. A new proof of existence and uniqueness of strong solutions is given. In addition, using appropriate finite element methods to approximate a coupled equivalent problem, sharp error estimates are obtained using a fixed point argument. The method is applied to the two‐dimensional lid‐driven cavity problem, at low Reynolds number and in a certain range of values of the viscoelastic parameters, to analyze the combined effects of inertia and viscoelasticity on the flow. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007     

群速度和相速度的微机模拟

本文介绍了作者开发的群速度和相速度微机模拟软件的程序设计和实现．该软件做为演示实验已经取得了良好的效果．     

D—^3He聚变动力可行性研究

本文首先简要地讨论D-3He聚变的物理要求并与D-T聚变作相应的比较,然后运用目前的约束定律和第一稳定区β极限,对计划的近期ETR规模装置(如CIT,TIBER,FER,NET)进行D-3He得失相当和点火实验的可行性研究,并对高径比第二稳定区D-3He托卡马克堆进行参数学研究,最后指出潜在的缩短商用化进程可能性。