Anisotropic Regularity Conditions for the Suitable Weak Solutions to the 3D Navier–Stokes Equations

We are concerned with the problem, originated from Seregin (159–200, 2007), Seregin (J. Math. Sci. 143: 2961–2968, 2007), Seregin (Russ. Math. Surv. 62:149–168, 2007), what are minimal sufficiently conditions for the regularity of suitable weak solutions to the 3D Navier–Stokes equations. We prove some interior regularity criteria, in terms of either one component of the velocity with sufficiently small local scaled norm and the rest part with bounded local scaled norm, or horizontal part of the vorticity with sufficiently small local scaled norm and the vertical part with bounded local scaled norm. It is also shown that only the smallness on the local scaled L ² norm of horizontal gradient without any other condition on the vertical gradient can still ensure the regularity of suitable weak solutions. All these conclusions improve pervious results on the local scaled norm type regularity conditions.     

Synthesis,Antitumor Activity and Preliminary Structure-activity Relationship of 2-Aminothiazole Derivatives

In this paper, we described the synthesis of 2-aminothiazole sublibrary containing methyl, bromo, phenyl or butylidene at 4- or/and 5-position of its core. All target compounds were evaluated for their antitumor activities against human lung cancer cell line H1299 and human glioma cell line SHG-44. Among the compounds screened, 4,5,6,7-tetrahydrobenzo[d]thiazole(26b) exhibited the most potent antitumor activities with IC₅₀ values of 4.89 and 4.03 μmol/L against the two tested cell lines, respectively. Preliminary structure-activity relationship(SAR) studies of these compound were subsequently investigated.     

绿色植物靶标的光谱探测研究

利用植物和背景(枯枝、土壤等)的光谱特性"红边"两侧反射率的差异,研究了探测绿色植物靶标的光谱探测技术。定义850与650nm处反射率的比值为植物判别指数(GPDI)。用FieldSpec Handheld2500型野外便携式光谱仪测量了绿色植物和背景的光谱数据,对其进行数据处理,计算各被测物质的植物判别指数GPDI。利用决策树模式识别方法建立植物与背景的分类模型,得到了GPDI阈值(GPDITH),选择此阈值为5.54。当GPDIGPDITH时,判别探测对象为植物;反之亦然。设计开发了基于AT89S51单片机和光电二极管OPT101的绿色植物光谱探测器。试验结果表明,此探测器的探测率受杂草的种类、大小和密度的影响;阔叶草比窄叶草更易探测到;植株越大、密度越高,探测率越高。     

纳米金刚石的变温场发射

研究了温度变化对沉积在钛基底上的纳米金刚石的场发射特性的影响,发现纳米金刚石场发射电流随温度和电场的升高而增大,场发射特性偏离了传统的Fowler-Nordheim理论,场发射电流的稳定性基本没有变化.分析了场发射电流增大的机理,表明是由于纳米金刚石的尺度效应以及外电场下金刚石产生了大量的热载流子共同作用的结果.研究还表明基底钛在温度升高到一定程度后,在外加电场下会有较大的电流产生,对场发射造成较大的影响,表明基底钛具有一定的温度敏感性和电压敏感性. 关键词： 场发射 纳米金刚石 尺度效应 热载流子     

Fourier频率域随机谱隐秘信息加载与增量补偿系统

提出一种基于光学原理的Fourier频率域随机谱隐秘信息加载与增量补偿系统,并给出一种隐秘信息的加载方式,可实现光学图像信息隐藏.宿主图像经过随机相位调制后进行Fourier变换得到频率域的随机谱,在此随机谱上加载隐秘信息,同时,系统对由隐秘信息的加入所产生的影响进行补偿.利用该系统所得到的载体图像未经正确的密钥-随机相位-调制时,隐秘信息将弥散在载体图像的Fourier频率域空间,具有较好的不可检测性.此外,即使攻击者知道隐秘信息的存在甚至知道隐藏方法,但在不知道密钥的情况下,依然无法破解隐秘信息的内容     

平衡零拍平移测量实验研究

利用平衡零拍探测方法对TEM00模相干光激光束的微小平移进行一维测量的实验研究,实验装置最小可测平移量为0.3nm.实验验证了平移与倾斜这两个物理量之间的共轭关系.最后用模式重叠的概念分析了本底光偏离标准的TEM10模对测量结果的影响.实验结果与理论基本符合.     

Wavelength conversion of chaotic message through gain modulation by injection-locked Fabry-Perot laser diode

<正>We propose a wavelength conversion scheme for chaotic optical communications(COC) based on a Fabry-Perot (FP) laser diode.The FP laser,as a wavelength converter,is injection-locked at one of longitudinal modes by an external continuous-wave(CW) light.The simulation results demonstrated that the chaos masked signal at wavelengthλ_1,which corresponds to the other longitudinal mode of FP laser,can be converted to the injection-locked mode(wavelengthλ_2) based on cross-gain modulation in a closed-loop COC link.A 1.2-GHz chaos masked sinusoidal signal is successfully decoded with signal-to-noise ratio (SNR) beyond 8 dB in 15-nm wavelength conversion range,and the effects of SNR on the signal frequency and conversion span are also investigated.     

纳米金刚石的变温场发射

研究了温度变化对沉积在钛基底上的纳米金刚石的场发射特性的影响,发现纳米金刚石场发射电流随温度和电场的升高而增大,场发射特性偏离了传统的Fowler-Nordheim理论,场发射电流的稳定性基本没有变化.分析了场发射电流增大的机理,表明是由于纳米金刚石的尺度效应以及外电场下金刚石产生了大量的热载流子共同作用的结果.研究还表明基底钛在温度升高到一定程度后,在外加电场下会有较大的电流产生,对场发射造成较大的影响,表明基底钛具有一定的温度敏感性和电压敏感性.     

Synthesis and Liquid Crystalline Properties of a Series of Meso-tetra(3,4,5-trialkylacyloxyphenyl)porphyrins and Their Zinc Complexes

A series of novel porphyrin ligands and their zinc complexes with twelve long flexible chains have been synthesized and characterized by UV-Vis, IR, and ¹H NMR spectra. Liquid-crystal properties of the compounds are studied by differential scanning calorimetry (DSC) and polarizing optical microscopy (POM). Absorption spectra, luminescence spectra and fluorescence lifetime of the products are determined.

     

Separation and determination of six catechins in tea by pressurized capillary electrochromatography

An efficient pressurized capillary electrochromatography (pCEC) method has been successfully developed for the determination of six catechins in tea. The separation was performed on a reversed-phase EP-100-20/45-3-C18 capillary column (total length of 45?cm, effective length of 20?cm, diameter of 100?μm, ODS packing inside for 3?μm). The mobile phase ratio of organic phase, the concentration of phosphate buffer and sodium heptanesulfonate, separation voltage, and other experimental conditions were investigated and optimized. The mobile phase was 15?mM NaH₂PO₄ and 12?mM sodium heptanesulfonate (pH 3.0)/methanol (64:36) at a flow rate of 0.04?mL/min. Under optimal conditions including applied voltage of ?4?kV and a UV detection wavelength of 230?nm, the six catechins in the tea were well separated. The calibration curves for the analytes had good linearity in the range of 8.02?μg/mL–202.13?μg/mL with a correlation coefficient of 0.9928–0.9997. The limits of detection (LOD) for the six catechins were 4.62?μg/mL–11.63?μg/mL (S/N?=?3). The recoveries of the six catechins were 96.2%–108.4% with a relative standard deviation (RSD) between 0.78% and 4.51%. The method has been used for the determination of six catechins in tea samples with good results.