On the decay and blow‐up of solution for coupled nonlinear wave equations with nonlinear damping and source terms

In this work, we consider a nonlinear coupled wave equations with initial‐boundary value conditions and nonlinear damping and source terms. Under suitable assumptions on the damping terms and source terms and initial data in the stable set, we obtain that the decay estimates of the energy function is exponential or polynomial by using Nakao's method. By using the energy method, we obtain the blow‐up result of solution with some positive or nonpositive initial energy. Copyright © 2016 John Wiley & Sons, Ltd.     

碳纳米管粉末微电极技术研究超氧自由基的电产生及化学性质

将多壁碳纳米管填充在粉末微电极尖端的小孔里制成碳纳米管粉末微电极,研究氧单电子还原产生超氧自由基的电化学行为.在二甲亚砜(DMSO)介质中,该电极反应是一个近乎可逆的还原/氧化过程,峰电位差(ΔEp)120mV,并显示出良好的稳态伏安曲线.根据极化曲线算得该电极反应的异相电荷传递速率常数ks=9.8×10-3cm/s.此外,还研究了超氧自由基的氧化性和碱性,并对相关反应过程作了讨论.     

预应力钢桁架结构分析中的摩擦滑移索单元

为精确模拟预应力钢桁架中连续长索在支撑点的滑动,本文创建了一种考虑摩擦力影响的新单元。被称为摩擦滑移索单元的新单元有三个节点,中间节点为支撑点。本文首先利用弹性悬链线的解析解,建立了弹性悬链线单元,并推导了单元两端点的张拉刚度。摩擦滑移索单元由两个弹性悬链线单元组合而成,根据支撑点处索的滑动方向、索力差、滑动摩擦力和滑移刚度调整两索段的原长,使支撑点两侧的索力满足给定的摩擦关系。算例验证了新单元算法的正确性和高效性,对设计的预应力钢桁架的分析,显示了张拉过程中及使用荷载作用下新单元在结构分析中的应用。新单元可直接用于常规的有限元分析,研究在工作状态或施工中存在连续长索滑移的索结构。     

一类多体系统非完整运动最优规划的拟牛顿算法

研究带有非完整约束的一类多体系统运动规划问题。多体系统中的非完整约束通常是由不可积的速度约束或不可积的守恒律引起。在系统动量和动量矩守恒情况下,动力学方程降阶为非完整形式约束方程,系统的控制问题可转化为无漂移系统的非完整运动规划问题。文中首先导出具有多体开链系统的非完整运动模型。利用最优控制理论和最优化技术,采用输入参数化的方法将连续的最优控制问题转化为离散的最优控制问题,提出一种非完整多体系统运动规划的拟牛顿算法。最后将该方法用于自由漂浮的空间三连杆机构,仿真结果验证了该方法的有效性。     

硼掺杂VO2（M）纳米棒的合成、相转变及光学特性

采用V2O5和硼酸为原材料,草酸为还原剂,在水热条件下,成功制备出硼(B)掺杂VO2(B)纳米棒,经Ar气环境退火后,得到了V1-xBxO2(M)系列样品。样品的结构、形貌和相转变温度分别用X-射线粉末衍射(XRD)仪、扫描电子显微镜(SEM)和差示扫描量热仪(DSC)等进行表征。用X-射线光电子谱(XPS)来表征样品的组份和元素的价态,样品的红外光吸收谱也被测量。结果显示,当B掺杂达到2.0at%时,V1-xBxO2(M)相的转变温度升高到75.03℃。这个升高的相转变温度可归因于B3+替代V4+引起VO6八面体的晶格畸变,以及局域晶格电子密度的降低。     

PDMS改性环氧树脂/Sm2O3复合涂层的近红外光谱及疏水性研究

以聚二甲基硅氧烷(PDMS)改性环氧树脂(HYSZ)为粘合剂,Sm₂O₃为功能颜料,纳米SiO₂为微纳结构改性剂,制备得到了一种同时具有良好疏水性能和附着力的近红外吸收涂层。系统分析了PDMS和HYSZ质量比、邻苯二甲酸二辛酯(DOP)添加量、总填料添加量、 Sm₂O₃和纳米SiO₂质量比对涂层性能的影响。结果表明：PDMS改性可明显降低涂层的表面能,从而使涂层的疏水性得到明显增强。利用DOP强化涂层韧性和微观搭桥作用可增强涂层整体性,从而可明显提高涂层的附着力和近红外吸收性能。涂层的表面粗糙度可随总填料添加量的增加而明显升高,进而可使涂层表现出更优的疏水性能。当涂层中PDMS和HYSZ质量比、 DOP添加量、总填料添加量、 Sm₂O₃和纳米SiO₂质量比分别为1∶9, 20%, 50%和5.5∶4.5时,涂层同时具有良好的近红外低反射率(59.1%)、疏水性能(水接触角为137°)及附着力...     

A Characterization of Maximally Entangled Two-Qubit States

As already known by Rana’s result, all eigenvalues of any partial-transposed bipartite state fall within the closed interval [−12,1]. In this note, we study a family of bipartite quantum states where the minimal eigenvalues of partial-transposed states are −12. For a two-qubit system, we find that the minimal eigenvalue of its partial-transposed state is −12 if and only if such a two-qubit state is maximally entangled. However this result does not hold in general for a two-qudit system when the dimensions of the underlying space are larger than two.     

在线萃取流动注射分光光度法测定二羟基苯磺酸钙中微量对苯二酚

用在线萃取-流动注射分光光度法(FISP)测定了作为杂质与2,5-二羟基苯磺酸钙共存的对苯二酚。专门设计并制作了与流动注射分光光度测定单元组合在一起的在线萃取流路,对苯二酚用乙醚萃取进入有机相并在此相中于其吸收峰297.5 nm波长处测定其吸光度,通过萃取基体成分,即2,5-二羟基苯磺酸钙的干扰,由于其在乙醚中不溶解而得以消除。对苯二酚的吸光度与其相应浓度在3.5×10-6~5.0×10-4mol.L-1之间呈线性关系,相关系数达0.999 4。该方法的检出限为2.53×10-6mol.L-1。应用此方法分析了来自不同批次的3个试样,所得结果的RSD在0.69%~1.65%之间,且其值与药典法所测得结果相符。     

不同连接方案下垂直场线圈的性能研究

基于热-结构耦合分析了欧姆热和等离子体辐照引起的垂直场线圈的温度变化,对垂直场线圈在不同连接方式下的电气参数进行了研究,提出了一种优化的线圈连接方案.计算结果表明,该优化方案有助于改善垂直场线圈的响应性能,并提高其对等离子体的控制能力.     

Quantum Inequality Bounds for Free Rarita-Schwinger Field in Flat Spacetime

Although quantum field theory allows the local energy density negative, it also places severe restrictions on the negative energy. One of the restrictions is the quantum energy inequality (QEI), in which the energy density is averaged over time, or space, or over space and time. By now temporal QEIs have been established for various quantum fields, but less work has been done for the spacetime quantum energy inequality. In this paper we deal with the free Rarita-Schwinger field and present a quantum inequality bound on the energy density averaged over space and time.Comparison with the QEI for the Rarita-Schwinger field shows that the lower bound is the same with the QEI. At the same time, we find the quantum inequality for the Rarita-Schwinger field is weaker than those for the scalar and Dirac fields. This fact gives further support to the conjecture that the more freedom the field has, the more easily the field displays negative energy density and the weaker the quantum inequality becomes.