平面不可压缩的Navier-Stokes方程的一个新七模截断(英文)

A new seven-modes truncation of Fourier series of Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is obtained.And its stationary solutions,the existence of attractor and the global stability of the equations are firmly proved.At the same time,several issues such as some basic dynamical behaviors and routs to chaos are shown numerically by changing Reynolds number.The system exhibits a stochastic behavior approached through an involved sequence of bifurcations.     

Effect of thickness on the structural,optical and electrical properties of thermally evaporated PbI2 thin films

This work describes the physical properties of lead iodide (PbI₂) thin films with different thicknesses that were deposited on ultrasonically cleaned glass substrates using a thermal evaporation technique at 5×10^-6 torr. The initial material was purified by the zone refining technique under an atmosphere of argon gas. XRD analysis of the material demonstrates that the thin films were preferably oriented along the (001) direction. The size of the crystallites was calculated from the Scherer relation and found to be in the range of ～5–10 nm, with higher values being observed for increasing film thicknesses. The optical energy band gaps were evaluated and determined to belong to direct transitions. Because the band gap increased with decreasing film thickness, a systematic blue shift was observed. The surface morphologies of PbI₂ films exhibited a clear increase in grain size with increasing film thickness. The photoluminescence and dc conductivity of the thin films are also discussed.     

Shear stability of metallic glasses

The effect of sample size on the shear deformation and compressive plasticity of different metallic glasses were investigated. The experimental results showed that the deformation and fracture behaviors of samples prepared from chemically identical Zr-, Ti-, Fe-, or Mg-based metallic glass ingots were strongly dependent on the sample size and machine stiffness, and a super-high compressive plasticity was achieved in the Zr-based metallic glasses with sample size of 1.0 mm in width. It is also found that the sample size can significantly influence the density of elastic energy dissipated in the shear band: with sample size decreasing and machine stiffness increasing, the density of the elastic energy dissipated in the shear band of metallic glasses is prominently decreased, thus the shear deformation turns to be more stable, resulting in the improvement of plasticity in ductile metallic glasses and the transition from fragmentation fracture to shear fracture in brittle metallic glasses. This finding is important for the potential applications of the present metallic glasses and for designing new metallic glasses with better mechanical properties.     

一类不确定非线性系统的执行器故障模糊容错控制

针对一类状态不完全可测的不确定非线性系统,研究了带有执行器故障的容错控制问题.采用 T-S模型对非线性系统进行模糊建模,利用并行分布补偿(PDC)算法设计了状态现潮器和基于状态现 潮器的客错控制,给出了保证该模糊容错控制系统稳定的充分条件.根据李雅普诺夫稳定性理论和线性 矩阵不等式(LMI),证明了所提出的模糊容错控制方法不但使得模糊控制系统渐近稳定,而且能够取得 H∞性能指标.计算机仿真结果进一步验证了所提出方法的正确性.     

微量热法研究黄连及其主要组分配伍的抑菌作用

基于微量热法,研究黄连、黄连的主要组分小檗碱、药根碱、巴马汀及其配伍模拟方的抑菌作用.以HPLC法测定黄连中小檗碱、药根碱和巴马汀的含量,并根据其含量比值配伍模拟方;微量热法测定黄连、小檗碱、药根碱、巴马汀及其模拟方对痢疾杆菌的生长代谢曲线,得出相应的热动力学参数,并进行对应分析.结果表明黄连、小檗碱、药根碱、巴马汀及其模拟方对痢疾杆菌的生长代谢均有不同程度的抑制作用,黄连作用最强,单体生物碱作用弱,配伍模拟方作用增强,但并未显现明显协同作用,黄连的抑菌作用可能为多种活性成分的综合作用.     

Forward-reverse switch between density-based and regional sensitivity analysis

Global sensitivity analysis is a widely used tool for uncertainty apportionment and is very useful for decision making, risk assessment, model simplification, optimal design of experiments, etc. Density-based sensitivity analysis and regional sensitivity analysis are two widely used approaches. Both of them can work with a given sample set of model input-output pairs. One significant difference between them is that density-based sensitivity analysis analyzes output distributions conditional on input values (forward), while regional sensitivity analysis analyzes input distributions conditional on output values (reverse). In this paper, we study the relationship between these two approaches and show that regional sensitivity analysis (reverse), when focusing on probability density functions of input, converges towards density-based sensitivity analysis (forward) as the number of classes for conditioning model outputs in the reverse method increases. Similar to the existing general form of forward sensitivity indices, we derive a general form of the reverse sensitivity indices and provide the corresponding reverse given-data method. Due to the shown equivalence, the reverse given-data method provides an efficient way to approximate density-based sensitivity indices. Two test examples are used to verify this connection and compare the results. Finally, we use the reverse given-data method to perform sensitivity analysis in a carbon dioxide storage benchmark problem with multiple outputs, where forward analysis of density-based indices would be impossible due to the high-dimensionality of its model outputs.     

Delay in ATP-dependent calcium inflow may affect insulin secretion from pancreatic beta-cell

Any dysfunction in the secretion of insulin and/or in its use is critical in the development of type 2 diabetes. Calcium plays a very important role in the insulin secretion mechanism from beta-cell. In this paper, we studied the dynamic interaction of glucose-induced insulin secretion mechanism through glucose metabolism and ATP-dependent calcium influx. We proposed and analyzed a four dimensional system of nonlinear delay differential equations to give insights into different possible mechanisms for maintaining plasma glucose homeostasis through calcium-induced insulin secretion. The time duration between ATP formation and subsequent calcium influx through cell membrane has been found to be critical in maintaining insulin homeostasis. How variational effects of system parameters lead to various glycemic states are demonstrated. Possibility of new potential drug therapies is also discussed through parameter recalibration.     

Determination of Ni~(2+) in Waters with Sodium Polyacrylate as a Binding Phase in Diffusive Gradients in Thin-films

An aqueous solution containing sodium polyacrylate(PAAS) was used in diffusive gradient in thin-films technique(DGT) to measure DGT-labile Ni2+ concentrations.The DGT devices(PAAS DGT) were validated in four types of solutions,including synthetic river water containing metal ions with complexing EDTA or that without complexing EDTA,natural river water(Ling River,Jinzhou,China) spiked with Ni2+,and an industrial wastewater (Jinzhou,China).Results show that only free metal ions were measured by PAAS DGT,recov...     

苹果果实各部位菊酯类农药残留量分析

用正己烷-丙酮(体积比为1∶1)作提取剂,采用石英毛细管柱、电子捕获检测器,用气相色谱法测定苹果果皮、果肉、果核中甲氰菊酯、氯氰菊酯、氰戊菊酯、溴氰菊酯农药残留量.对苹果果肉试验结果表明,甲氰菊酯的回收率为80.9%～103.6%,相对标准偏差为1.30%～5.18%;氯氰菊酯的回收率为86.1%～103.9%,相对标...     

新型无机-有机超分子化合物{(HINO)6·(P2W18O62)·14H2O}的合成、结构及性质

以Wells-Dawson型多金属氧酸盐[P2W18O62]6-和4-吡啶甲酸(HINO)为混合配体,采用水热技术合成了一种新的无机-有机三维超分子化合物{(HINO)6(P2W18O62)·14H2O},并通过元素分析、红外光谱、热重分析和X射线单晶衍射等方法对其进行了表征.结果表明,该化合物属于单斜晶系,P21/c...