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。     

非饱和水流问题的混合元法及其数值模拟

1.引 言 均质土壤中的地下水流动可归结为非饱和土壤水的流动,是土壤水未完全充满孔隙时的流动,是多孔介质流体运动的一种重要形式.非饱和流动的预报在大气科学、土壤学、农业     

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.     

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。     

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−)     

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.     

拟线性椭圆型方程奇摄动边值问题

本文讨论了拟线性椭圆型方程奇摄动Robin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。     

混凝土框架结构中楼板抗连续性倒塌效应的分析

针对钢筋混凝土框架结构,采用解析法,结合混凝土框架结构连续倒塌过程和抗力机制,分析了现浇楼板对结构抗连续性倒塌性能的影响,提出了考虑楼板效应的抗力计算方法。采用非线性静力Pushover方法分析现浇楼板对混凝土框架结构抗连续倒塌性能的影响,验证了解析法分析的正确性。结果表明,楼板对梁机制抗力的影响不明显,但对悬链线机制抗力的影响显著。对于边中柱初始失效情形,同时存在梁机制和悬链线机制两种抗连续倒塌机制,楼板可明显提高结构抗倒塌能力;对于角柱初始失效情形,仅存在梁机制而不能形成悬链线机制,楼板对结构的抗倒塌能力基本无影响。更多还原     

基于多物理场模拟的阳极支撑微管燃料电池的结构优化设计

High volumetric power density (VPD) is the basis for the commercial success of micro-tubular solid oxide fuel cells (mtSOFCs). To find maximal VPD (MVPD) for anode-supported mtSOFC (as-mtSOFC), the effects of geometric parameters on VPD are analyzed and the anode thickness, t_an, and the cathode length, l_ca, are identified as the key design parameters. Thermo-fluid electrochemical models were built to examine the dependence of the electrical output on the cell parameters. The multiphysics model is validated by reproducing the experimental I-V curves with no adjustable parameters. The optimal l_ca and the corresponding MVPDs are then determined by the multiphysics model for 20 combinations of r_in, the inner tube radius, and t_an. And all these optimization are made at 1073.15 K. The results show that:(i) significant performance improvement may be achieved by geometry optimization, (ii) the seemingly high MVPD of 11 and 14 W/cm³ can be easily realized for as-mtSOFC with single-and double-terminal anode current collection, respectively. Moreover, the variation of the area specific power density with l_ca2(2 mm, 40 mm) is determined for three representative (r_in, t_an) combinations. Besides, it is demonstrated that the current output of mtSOFC with proper geometric parameters is comparable to that of planar SOFC.