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71.
Hanchul PARK 《数学年刊B辑(英文版)》2017,38(6):1321-1334
This paper deals with two things.First,the cohomology of canonical extensions of real topological toric manifolds is computed when coefficient ring G is a commutative ring in which 2 is unit in G.Second,the author focuses on a specific canonical extensions called doublings and presents their various properties.They include existence of infinitely many real topological toric manifolds admitting complex structures,and a way to construct infinitely many real toric manifolds which have an odd torsion in their cohomology groups.Moreover,some questions about real topological toric manifolds related to Halperin's toral rank conjecture are presented. 相似文献
72.
The authors consider the difference of Reidemeister traces and difference cochain of given two self-maps,and find out a relation involving these two invariants.As an application,an inductive formula of the Reidemeister traces for self-maps on a kind of CW-complex,including spherical manifolds is obtained. 相似文献
73.
74.
75.
In this paper, we present a more general criterion for the global asymptotic stability of equilibria for nonlinear autonomous differential equations based on the geometric criterion developed by Li and Muldowney. By applying this criterion, we obtain some results for the global asymptotic stability of SEIRS models with constant recruitment and varying total population size. Based on these results, we give a complete affirmative answer to Liu–Hethcote–Levin conjecture. Furthermore, an affirmative answer to Li–Graef–Wang–Karsai’s problem for SEIR model with permanent immunity and varying total population size is given. 相似文献
76.
基于离散网格的流形曲面构造技术不仅能够生成具有高阶光滑性的曲面,并且该曲面可以是任意拓扑结构的.此外,在构造流形曲面时,无需进行额外的拼接操作,克服了传统曲面造型技术在进行面片之间的拼接时,计算量增大以及曲面光滑性难以保证的难题.本文介绍了流形曲面构造的流程以及构造过程中的难点,然后将目前已有的流形曲面构造技术分为三大类:传统意义上的流形构造方法;基于规范区域的流形构造方法;基于样条曲面推广的流形构造方法.并对每一类都进行详细地分类介绍.最后,对其作一个总结以及对未来的展望. 相似文献
77.
Nam-Hoon Lee 《Mathematische Nachrichten》2023,296(8):3449-3458
The concept of non-Gorenstein involutions on Calabi–Yau threefolds is a higher dimensional generalization of non-symplectic involutions on K3 surfaces. We present some elementary facts about Calabi–Yau threefolds with non-Gorenstein involutions. We give a classification of the Calabi–Yau threefolds of Picard rank one with non-Gorenstein involutions, whose fixed locus is not zero-dimensional. 相似文献
78.
A generalized Duffing equation with the Coulomb’s friction law and Signorini–type contact conditions
This work provides mathematical and numerical analyses for a spring–mass system, in which Signorini–type contact conditions and Coulomb’s friction law with thermal effects are taken into consideration. The motion of a mass attached to a viscoelastic (Kelvin–Voigt type) nonlinear spring is described by a generalized Duffing equation. Signorini contact conditions are understood as extended complementarity conditions (CCs), where convolution is incorporated, allowing to consider thermal aspects of an obstacle. We prove the existence of global weak solutions for the highly nonlinear differential equation system with all the conditions, based on the regularized differential equation and the normal compliance condition with the standard mollifier. In addition, we investigate what side effects produce higher singularities of contact forces in dynamic contact problems, which is also supported by numerical evidences. Numerical schemes are proposed and then several groups of data are selected for the display of our numerical simulations. 相似文献
79.
摘要:常温催化氧化是消除室内HCHO污染最可行的方法之一,其中以过渡金属氧化物为代表的催化剂因性能优异、成本低廉而备受广泛关注。采用柠檬酸络合法和水热法制备了一系列CuMnCeOx催化剂,研究考察制备方法及载体对催化剂氧化性能的影响,并利用XRD、SEM、BET、H2-TPR、XPS和IR等对催化剂进行微观表征与分析。研究发现,制备方法及载体类型对催化剂的表面结构形貌、氧化性能产生显著影响,其中采用柠檬酸络合法所制的CuMnCeOx-C催化剂性能最佳,48h的HCHO去除率达98.6%,完全满足GB50325-2001标准要求,其介孔结构,晶体粒径及所形成的铈基铜锰固溶体均利于形成大量氧空位及催化氧化反应,且展示出良好的抗水蒸气和稳定性能,其在常温催化氧化VOCs方面具有重要应用前景。 相似文献
80.
Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions 总被引:8,自引:0,他引:8
A fast multipole method (FMM) is applied for BEM to reduce both the operation and memory requirement in dealing with very
large scale problems. In this paper, a new version of fast multipole BEM for 2D elastostatics is presented and used for simulation
of 2D elastic solid with a large number of randomly distributed inclusions combined with a similar subregion approach. Generalized
minimum residual method (GMRES) is used as an iterative solver to solve the equation system formed by BEM iteratively. The
numerical results show that the scheme presented is applicable to certain large scale problems.
The project supported by the National Nature Science Foundation of China (10172053) and the Ministry of Education 相似文献