一类双重退化抛物型方程的Cauchy问题

研究一类双重退化抛物型方程的Cauchy问题, 给出了弱解 熵解的定义, 并借助于正则化问题利用补偿紧致定理证明了问题熵解的存在性, 利用双变量方法得到这种弱解的稳定性.     

水性颜料体系无树脂色浆的制备与应用

中性墨水属于热力学上不稳定的颜料悬浮体系,选择低黏度、高稳定性的色浆是保证墨水体系分散稳定性的重要手段之一.基于此,以颜料炭黑和酞菁蓝为着色剂,配合超分散剂(EK43)与协同增效剂(BM10),制备了两款适用于中性墨水体系的无树脂色浆.首次从色浆粒径与体系分散稳定性角度出发,确定了EK43、BM10用量以及最佳研磨时间...     

基于终端滑模控制的混沌系统的同步

应用驱动-响应同步方法,研究了一类二阶混沌系统的终端滑模控制.通过设计连续的终端滑模控制器实现混沌系统的有限时间同步.在控制器的设计过程中采用了一种改进的终端滑模面,有效克服了在常规终端滑模控制中由于参数选择不当而出现的奇异问题.仿真结果表明,改进的终端滑模控制器可有效降低变结构控制中所产生的抖振,并提高了系统的稳态精度,实现了混沌系统的有限时间同步.     

一类分数阶比率依赖型捕食系统的动力学分析

讨论了一类食饵带有疾病的分数阶比率依赖型捕食系统的动力学行为.利用线性化方法定性分析了各类平衡点的稳定性,并给出了其正平衡点局部渐近稳定的充分条件.数值模拟显示,参数和阶数对平衡点的收敛速度及其稳定性产生很重要的影响.     

一种新的时滞细胞神经网络全局渐近稳定性准则

研究了一类具有时滞的细胞神经网络全局稳定性问题。首先,提出所研究的时滞细胞神经网络模型、系统激活函数所需满足的条件及本文需要用到的引理。然后,将所研究的系统通过一个等式进行线性变换,在定义一个与系统相关的积分操作基础上讨论时滞细胞神经网络的全局渐近稳定性。与早期的文献结果相比,本文所得结果具有更少保守性,并且该条件是与时滞相关的。本文所得到的稳定性准则可以很容易地求出系统稳定的时滞上界,进而可以很容易得到时滞无关稳定性结果。最后,用一个数值例子证明本文所得的稳定性条件是有效的。     

湿式氧化工艺中颗粒Ru催化剂的活性和稳定性

分别采用传统成型法和新的成型法制备了一系列以CeO2为主要成分的载体,将贵金属Ru浸渍在这些载体上制备了不同的催化剂.对催化剂的比表面积和机械强度进行了表征,并通过湿式氧化乙酸的静态实验和湿式氧化苯酚的动态实验分别考察了催化剂的活性和稳定性.结果表明,Ru负载在采用新方法成型的载体上制得的催化剂具有更大的比表面积.向CeO2中掺杂Zr能增大载体的比表面积.新方法制备的催化剂Ru/ZrO2-CeO2催化湿式氧化乙酸具有良好的活性,化学需氧量(COD)去除率为98%.在110h的催化湿式氧化苯酚反应中,苯酚和COD的去除率维持在96%左右,反应过程中活性组分的溶出浓度很小,催化剂表面有少量的积炭,但积炭在300℃能够被完全氧化.因而催化剂具有较好的稳定性和工业应用可能性.     

基于2,5-二溴对苯二甲酸配体的锌/钴配合物合成、晶体结构及性质

将有机物2,5-二溴对苯二甲酸(H₂L₁)和2,2′-联吡啶(L₂)作为双配体,使用溶剂热法和七水合硫酸锌(ZnSO₄·7H₂O)、六水合硝酸钴(Co(NO₃)₂·6H₂O)分别反应,得到配合物[Zn(L₁)(L₂)(H₂O)]_n(1)和配合物[Co(L₁)(L₂)(H₂O)]_n(2)。采用单晶X射线衍射、元素分析、红外光谱、紫外光谱、荧光光谱、热重分析等测试方法对这两种物质进行分析研究。单晶测试结果表明配合物1是单斜晶系,以Zn²⁺配位连接L^2-₁与L₂形成一维链状结构,各条链在分子间氢键和π…π共轭作用下有规律地堆叠形成三维网络结构。配合物2是三斜晶系,Co1离子和Co1ⁱ离子由H₂L₁上的羧酸氧原子O4和O4ⁱ连接,形成双齿螯合的配位结构单元,以Co²⁺配位连接 L^2-₁和L₂形成二维网格结构,各层在O—H…O分子间氢键和范德瓦耳斯力作用下有规律的堆叠形成三维网络结构。配合物1和2均含有芳香杂环、羧基杂环和氮杂环,具有良好的荧光性质和热稳定性,最大发射波长分别为345 nm和333 nm。     

新型BT-BMT-xBNT无铅高储能密度陶瓷研究

本文采用传统固相反应法,成功制备了新型无铅弛豫铁电陶瓷(1-x)[0.9BaTiO₃-0.1Bi(Mg_0.25Ta_0.5)O₃]-xBi_0.5Na_0.5TiO₃。结果表明,较高居里温度的Bi_0.5Na_0.5TiO₃的引入,使得材料体系中建立了更多的以Bi—O耦合为主的极性纳米区域,弥补了因Bi(Mg_0.25Ta_0.5)O₃的加入导致的宏观极化强度的减少,提高了材料的饱和极化强度,实现了较高储能密度的同时具有更好的温度稳定性。在245 kV/cm电场强度下,x=0.2样品的储能密度约为4.01 J/cm³,储能效率约为84.86%,同时该组分在20~170 ℃储能密度的变化率小于5%,储能效率的变化率小于6%,表现出优异的温度稳定性。     

Prediction of resolvent mode shapes in supersonic turbulent boundary layers

This work applies resolvent analysis to compressible zero-pressure-gradient turbulent boundary layers with freestream Mach numbers between 2 and 4, focusing exclusively on large scale motions in the outer region of the boundary layer. We investigate the effects of Mach number on predicted flow structures, and in particular, look at how such effects may be attributed to changes in mean properties. By leveraging the similarity between the compressible and incompressible resolvent operators, we show that the shape of the streamwise velocity and temperature components of resolvent response modes in the compressible regime can be approximated by applying ideas from wavepacket pseudospectral theory to a simple scalar operator. This gives a means of predicting the shape of resolvent mode components for compressible flows without requiring the singular value decompositions of discretized operators. At a Mach number of 2, we find that accurate results are obtained from this approximation when using the compressible mean velocity profile. At Mach numbers of 3 and 4, the quantitative accuracy of these predictions is improved by also considering a local effective Reynolds number based on the local mean density and viscosity.     

MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge

The steady flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge with magnetic field and radiation effects are studied. The governing equations of the hybrid nanofluid are converted to the similarity equations by techniques of the similarity transformation. The bvp4c function that is available in MATLAB software is utilized for solving the similarity equations numerically. The numerical results are obtained for selected different values of parameters. The results discover that two solutions exist, up to a certain value of the stretching/shrinking and suction strengths. The critical value in which the solution is in existence decreases as nanoparticle volume fractions for copper and wedge angle parameter increase. It is also found that the hybrid nanofluid enhances the heat transfer rate compared with the regular nanofluid. The reduction of the heat transfer rate is observed with the increase in radiation parameter. The temporal stability analysis is performed to analyze the stability of the dual solutions, and it is revealed that only one of them is stable and physically reliable.