LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

In this article, we study the large time behavior of the 3-D isentropic compressible Navier-Stokes equation in the partial space-periodic domains, and simultaneously show that the related profile systems can be described by like Navier-Stokes equations with suitable ＂pressure＂ functions in lower dimensions. Our proofs are based on the energy methods together with some delicate analysis on the corresponding linearized problems.

Orbital radius keeping of floating partial space elevator in cargo transposition

A floating partial space elevator(PSE)is a PSE with a floating main satellite.This work aims to keep the orbital radius of the main satellite of a floating PSE in cargo transposition without the use of thrusts.A six-degree-of-freedom two-piece dumbbell model was built to analyze the dynamics of a floating PSE.By adjusting the climber’s moving speed and rolling of the end body,the main satellite’s orbital radius can be kept.A novel control strategy using a proportional shrinking horizon model predictive control law containing a self-stability modified law is proposed to stabilize both the orbital and libration states to regulate the speed of only the climber.Simulation results validated the proposed control strategy.The system provides a successful approach to the desired equilibrium by the end of the transposition.

Space Topologies and Their Dual Space Topologies for Conventional Functional Space Topologies

In this paper, we have studied the topology of some classical functional spaces. Among these spaces, there are standard spaces, spaces that can be metrizable and others that cannot be metrizable. But they are all topological vector spaces and it is in this context that we have chosen to present this work. We are interested in the topology of its spaces and in the topologies of their dual spaces. The first part, we presented the fundamental topological properties of topological vector spaces. The second part, we studied Frechet spaces and particularly the space S(Rn) of functions of class C∞ on Rn which are as well as all their rapidly decreasing partial derivatives. We have also studied its dual S'(Rn) the space of tempered distributions. The last part aims to define a topological structure on an increasing union of Frechet spaces called inductive limit of Frechet spaces. We study in particular the space D(Ω) of functions of class C∞ with compact supports on Ω as well as its dual D' (Ω) the space distributions over the open set Ω.

Libration and end body swing stabilization of a parallel partial space elevator system

This paper studies the libration and stabilization of a parallel partial space elevator system in circular orbits. The system is made up of two paralleled partial space elevators, each of which consists of one main satellite, one end body and a climber moving along the tether between them.The libration characteristics of the elevator are studied through numerical analysis by a new dynamic model, and a novel control strategy is proposed to stabilize the swing of the end body by projecting the climber speeds only. Optimal control method is used to implement the new control strategy in the case where the climbers move in opposite direction. The simulation results validate the effectiveness of the proposed control strategy whose application will neither sacrifice the transport efficiency nor exacerbate libration significantly.

COMMON FIXED POINT OF GENERALIZED WEAKLY CONTRACTIVE MAPS IN PARTIAL METRIC SPACES

In this paper, using the context of complete partial metric spaces, some common fixed point results of maps that satisfy the generalized （ψ, Ф）-weak contractive conditions are obtained. Our results generalize, extend, unify, enrich and complement many existing results in the literature. Example are given showing the validaty of our results.

Some questions on partial metric spaces

We show that the completion of a partial metric space can fail be unique,which answers a question on completions of partial metric spaces.In addition,to this paper discusses metrizability around partial metric spaces.

Fixed Point of Multivalued Operators on Partial Metric Spaces

In this paper, we prove some results on fixed point of multivalued operators on partial metric spaces.

NEWTON-LIK E METNODS IN PARTIALLY ORDERED BANACH SPACES

We provide convergence results and error estimates for Newton-like methods in generalized Banach spaces.The idea of a generalized norm is used whichis defined to be a map from a linear space into a partially ordered Banach space.Convergence results and error estimates are improved compared with the real norm theory.

Study of Fixed Point Theorems for Higher Dimension in Partially Ordered Metric Spaces

In this paper, we establish the existence and uniqueness of fixed points of operator , when n is an arbitrary positive integer and X is a partially ordered complete metric space. We have shown examples to verify our work. Our results generalize the recent fixed point theorems cited in [1]-[4] etc. and include several recent developments.

Endpoints of Multi-Valued Weak Contractions on the Metric Space of Partially Ordered Groups

The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).

Some Fixed Point Results of Ciric-Type Contraction Mappings on Ordered <i>G</i>-Partial Metric Spaces

We introduce the concept of generalized quasi-contraction mappings in G-partial metric spaces and prove some fixed point results in ordered G-partial metric spaces. The results generalize and extend some recent results in literature.

Simulation of Space Charge Impact on Partial Discharge Inception Voltage in Power Busbars Dedicated to Future Hybrid Aircrafts

Reducing greenhouse gases, saving energy resources and mass optimization require technological changes towards increasingly electric vehicles. At the same time, performance improvement of semiconductor and dielectric materials further promotes electronic components confinement, resulting in a significant increase of embedded power densities. In the particular case of future hybrid propulsion aircrafts, electrical power that intended to supply reactors would be converted through power electronics components mounted on power busbars and insulated by solid dielectrics materials. These dielectrics materials have to respond to various electrical constraints of use (HVDC), in spite of environment change of aircraft parameters such as low pressure, temperature and thermal cycles, humidity... Unfortunately, partial discharges phenomenon is the most problem within electrical insulation system (EIS). Based on a topological model of power busbars designed for power converters dedicated to hybrid aircraft, partial discharge studies were conducted by simulation in various charging conditions of a PTFE insulator. Simulation results, which focus on electric field thresholds criteria of partial discharge inception voltage in air, reveal a net sensitivity of a space charge accumulation and distribution on dielectrics behaviour even for low space charge density, depending on their location in dielectrics. Compared to the behaviour observed with implanted homocharges, when by increasing homocharges density from 0.5 C/m3 to 2 C/m3 we observe a decrease of electric field by 450%, simulation results show a highest risk of partial discharge inception when heterocharges are accumulated inside dielectrics. Their accumulation increases the electric field in triple points beyond electric field thresholds of partial discharge inception in air. The simulated electric field reaching 22 kV/mm with only 2 C/m3 of heterocharges density accumulated in dielectric/busbars interfaces.

Theorems of Helly's Type for Partially-closed Half-spaces

In this article, under quite weaker conditions, theorems of Helly’s type for(not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provided to show that these conditions cannot be omitted in general.

Partial Feedback Based Orthogonal Space-Time Block Coding With Flexible Feedback Bits

The conventional orthogonal space-time block code (OSTBC) with limited feedback has fixed p-1?feedback bits for the specific ntp?transmit antennas. A new partial feedback based OSTBC which provides flexible feedback bits is proposed in this paper. The proposed scheme inherits the properties of having a simple decoder and the full diversity of OSTBC, moreover, preserves full data rate. Simulation results show that for?ntp transmit antennas, the proposed scheme has the similar performance with the conventional one by using p-1?feedback bits, whereas has the better performance with more feedback bits.

Periodic Solutions in UMD Spaces for Some Neutral Partial Functional Differential Equations

The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators Lp-multipliers and UMD-spaces.

交联聚乙烯直流电树枝降压阶段的局部放电特性

电树枝是交联聚乙烯(XLPE)高压直流电缆的典型缺陷,有效检测电树枝对电缆绝缘状态评估至关重要。为此对含有电树枝的XLPE针-板绝缘试样进行直流局部放电实验,分析不同阶段下的局部放电特性以及电压参数对放电特性的影响。实验发现:含电树枝的试样在降压过程中会出现局部放电现象,不含电树枝的试样则不会放电;降压过程中的放电具有良好的重复性,对电树枝尺寸无明显影响,且放电脉冲极性与恒压阶段的相反。该实验现象表明利用降压阶段的局部放电检测,可为高压直流电缆电树枝的评估提供一种有益的尝试。此外,实验表明多次局部放电可能导致通道电导率增加,放电熄灭电压增大。不同电压参数下的降压阶段实验结果表明:更高的直流电压,合适的降压速率可以增加放电次数;针电极为负极性时平均放电量更高;恒压时长对放电特性没有显著影响。采用数值仿真分析了降压前后绝缘区域的电场分布,结果表明降压前期,泊松电场的衰减速率低于外施电场的衰减速率,使得针尖附近形成场强较高的反向电场,从而导致降压过程中的局部放电。

基于时序拓扑数据分析的电力电缆局部放电模式识别

在电力电缆局部放电(PD)模式识别时,相位图谱以及统计特征往往因区分度不足而影响识别精度。为此,提出了一种基于时序拓扑数据分析(TDA)的局放特征提取和识别方法。首先,提出一种符号熵和粒子群优化(PSO)相结合的重构参数选择方法,将预处理后的局放时域信号进行相空间重构,并生成三维局放数据点云;然后,基于TDA方法提取持续同调特征,据此生成持续散点图及持续条形码,计算并可视化表达为贝蒂曲线;最后,将贝蒂曲线输入1D-CNN模型,对4种典型局放缺陷模式进行识别并开展对比实验。实验结果表明,该方法对相空间重构时延参数的选取更加准确,且TDA特征具备良好的区分度,相比其他以相位图谱及统计特征为输入的模型,该方法整体识别准确率最高可提升15.34%,达到98.55%。

社会和空间双重视角下的传统村落公共空间活力影响因素研究

针对传统村落公共空间活力衰退问题,该文以江西省抚州市瑶浦村为例,依据村民问卷调查数据,采用PLS回归分析法、空间句法,借助SPSS、Depthmap等工具,运用定量分析与定性分析结合的方法,对公共空间的空间特征及传统村落的社会特征进行分析,探讨了传统村落公共空间活力的影响因素。结果表明:瑶浦村公共空间活力处于一般水平,公共空间活力影响因素可从社会维度和空间维度分析,村民村落情感及村民间社会联系是村民前往公共空间的内在动力,其中“与其他村民相互帮助程度”和“与他人交往的主动性”2个指标的影响程度相对更高。公共空间的地理、功能、环境等特征决定公共空间的吸引力,对公共空间活力产生直接影响。

考虑综合性能最优的非短视快速天基雷达多目标跟踪资源调度算法

合理有效的资源调度是天基雷达效能得以充分发挥的关键。针对天基雷达多目标跟踪资源调度问题,建立了综合考虑目标威胁度、跟踪精度与低截获概率(LPI)的代价函数;考虑目标的不确定、天基平台约束以及长远期期望代价,建立了多约束下的基于部分可观测的马尔可夫决策过程(POMDP)的资源调度模型;采用拉格朗日松弛法将多约束下的多目标跟踪资源调度问题转换分解为多个无约束的子问题;针对连续状态空间、连续动作空间及连续观测空间引起的维数灾难问题,采用基于蒙特卡罗树搜索(MCTS)的在线POMDP算法—POMCPOW算法进行求解,最终提出了一种综合多指标性能的非短视快速天基雷达多目标跟踪资源调度算法。仿真表明,与已有调度算法相比,所提算法资源分配更合理,系统性能更优。

空间分数阶偏微分方程非标准有限差分方法的稳定性和收敛性

本文研究空间分数阶偏微分方程非标准有限差分方法数值解的相关问题.采用Grünwald-Letnikov公式和平移Grünwald-Letnikov公式分别对两个空间分数阶导数进行离散.再运用带有时间和空间步长的分母函数构造非标准有限差分方法.进而利用von Neumann分析方法对差分格式的稳定性和收敛性进行研究,获得了一些新的结果.数值例子验证了非标准有限差分方法用于求解空间分数阶偏微分方程的有效性.