固体电解质Li9-nxMn+xN2Cl3(M=Na、Mg、Al)的合成及表征

高温固相反应合成了固体电解质Li_(9-nx)M~(n )_xN_2Cl_3(M=Na、Mg、Al)。利用粉末 X射线衍射测定样品结构。测定了离子电导率 ,分解电压和电子电导。得出掺杂可以提高快离子导体材料 Li_9N_2Cl_3的电导率。并讨论了掺杂阳离子的半径和价态与替代离子的关系和影响。使用 x=0.05mol的二价镁离子替代 Li_9N_2Cl_3中的 Li＋离子可以很大程度的提高其电导率。     

Stability problem of a circular sandwich ring under uniform external pressure

The solution of the stability problem of a circular sandwich ring under uniform external pressure is given in a refined statement. The need to determinate the precritical stresses in load-bearing layers in the refined statement with regard to the transverse compression of the core is established, which is the basis for the detection of the mixed flexural buckling forms (BFs) with more than two half-waves along the circumferential coordinate (n>2). It is found that sandwich structures with a determining parameter of transverse compression corresponding to the limit of transition from the mixed BFs to synphasic ones are the most efficient from the weight viewpoint. Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. 3, pp. 317–328, May–June, 2000.     

Intermediate Jacobians and Hodge structures of moduli spaces

The mixed Hodge structure on the low degree cohomology of the moduli space of vector bundles on a curve is studied. Analysis of the third cohomology yields a new proof of a Torelli theorem.     

一阶混合型积分微分方程的周期边值问题

在有一般化的上下解的条件下,研究了一阶混合型积分微分方程的周期边值问题的可解性和最小最大解的存在性。讨论基于迭合度方法,单调迭代方法和新的比较定理。     

非局部非对称弹性理论混合边值问题的提法

从完全的虚功和虚功率原理以及广义Ｐｉｏｌａ定理出发一并推导出非局部非对称弹性理论的运动方程、所有边界条件和全能量方程。把这时给出的边界条件和高键,戴天民的相应结果加在一超即可表述非局部非对称线性弹性理论的混合边值问题。     

混合单调算子的某些不动点定理与锥上的正不动点

给出在半序距离空间以迭代而得到的某些不动点定理的混合单调算子和在锥上某些非零不动点定理。     

Modified Mini finite element for the Stokes problem in ℝ2 or ℝ3

We analyze a modified version of the Mini finite element (or the Mini* finite element) for the Stokes problem in ℝ² or ℝ³. The cross‐grid element of order one in ℝ³ is also analyzed. The stability is verified with the aid of the macroelement technique introduced by Stenberg. Each of these methods converges with first order in h as the Mini element does. Numerical tests are given for the Mini* element in comparison with the Mini element when Ω is a unit square on ℝ². This revised version was published online in June 2006 with corrections to the Cover Date.     

On the number of generators of Cohen-Macaulay ideals

Several bounds on the number of generators of Cohen-Macaulay ideals known in the literature follow from a simple inequality which bounds the number of generators of such ideals in terms of mixed multiplicities. Results of Cohen and Akizuki, Abhyankar, Sally, Rees and Boratynski-Eisenbud-Rees are deduced very easily from this inequality.

     

含k-次增生算子的非线性方程的迭代程序

建立了一般Banach空间中含k-次增生算子的非线性方程的带混合误差的Ishikawa迭代序列的强收敛性的一般性定理,所得的是任卫云等和LIU Li-shan等于最近得到的主要结果的多方面的拓广和改进,且所用方法不同于他们．     

Galerkin-Petrov least squares mixed element method for stationary incompressible magnetohydrodynamics

The Galerkin-Petrov least squares method is combined with the mixed finite element method to deal with the stationary, incompressible magnetohydrodynamics system of equations with viscosity. A Galerkin-Petrov least squares mixed finite element format for the stationary incompressible magnetohydrodynamics equations is presented. And the existence and error estimates of its solution are derived. Through this method, the combination among the mixed finite element spaces does not demand the discrete Babuska-Brezzi stability conditions so that the mixed finite element spaces could be chosen arbitrartily and the error estimates with optimal order could be obtained.