On the Euler–Poincaré Equation with Non-Zero Dispersion

We consider the Euler–Poincaré equation on ${\mathbb{R}^d, \, d \geqq 2}$ R d , d ≧ 2 . For a large class of smooth initial data we prove that the corresponding solution blows up in finite time. This settles an open problem raised by Chae and Liu (Commun Math Phys 314:671–687, 2012). Our analysis exhibits some new concentration mechanisms and hidden monotonicity formulas associated with the Euler–Poincaré flow. In particular we show an abundance of blowups emanating from smooth initial data with certain sign properties. No size restrictions are imposed on the data. We also showcase a class of initial data for which the corresponding solution exists globally in time.     

多体动力学超定运动方程广义-α求解新算法

完整约束多体系统第一类Lagrange方程建模得到的运动方程是指标-3形式的微分-代数方程(differental-algebraic equations,DAEs).如果同时考虑速度约束,将得到超定运动方程,该方程是指标-2的超定微分-代数方程(over-determined differential-algebraic equations,ODAEs).基于结构动力学中常用的广义-α方法,将其拓展,求解包含速度约束的超定运动方程,相对于其他求解指标-2 ODAEs的算法,新的算法没有增加离散得到的非线性方程组方程的数目.通过数值实验验证算法,并说明其求解ODAEs不存在精度降阶的现象,仍然具有二阶精度,同时算法的数值耗散也是可以控制的.最后新方法与其他求解多体系统ODAEs形式运动方程算法的CPU时间进行了比较分析.     

An investigation on the behavior of fine-grained magnetite particles as a function of size and surface modification

By using a KNO₃-aging ferrous hydroxide gel method, Fe₃O₄ particles with sizes ranging from 35 to 1500 nm were synthesized. The particles were covered with a silica coating to form Fe₃O₄-SiO₂ core-shell structures by using the improved conventional Stöber polycondensation method. The thickness of the SiO₂ covering on magnetite particles surface varies from 10 to 20 nm. The morphology, size and composition of the particles were determined by transmission electron microscopy (TEM) and X-ray diffraction (XRD). The particles with and without coating with SiO₂ were pressed into slices with an oil press at 10 MPa. Subsequently, the coercive forces H_C of the particles were measured by VSM at room temperature, and the critical size for a single domain was estimated. The shape of the particles is basically spherical when the size is smaller than 800 nm, while it is hexagonal for larger particles. The H_C of Fe₃O₄-SiO₂ core-shell structure was larger than that of the uncoated Fe₃O₄ particles by 20%, which was explained to be due to the reduction of inter-particle magnetostatic interaction, supported by an agreement with the packing factor. The dependence of H_C on magnetic particle size could be explained and fitted by the Heewell-Knozam stacking density equation and object-oriented micromagnetic computing framework (OOMMF) micromagnetic software. the results agree well with the experimental data.     

Enhanced photoelectrochemical performance of ZnO photoanode with scattering hollow cavities

Abstract ZnO nanoparticles with average diameter of 12 nm were used to fabricate ZnO photoanodes by electrohydrodynamic (EHD) technique for dye-sensitized solar cells (DSSCs). To enhance the light scattering and conversion efficiency, the ZnO film with scattering hollow cavities (HCs) was realized by calcining polystyrene spheres (PSs) in the film. The films had strong light scattering ability and the overall light to electricity conversion efficiency (η) was improved and reached 5.5% under illumination of simulated solar light (AM-1.5, 100 mW/cm²).     

一种单通道彩色图像加密方法

提出了一种彩色图像的单通道加密方法. 在该方法中,首先采用三色光栅编码原理将一幅彩色图像编码为一幅灰度图像,再利用双随机相位加密技术对其加密,从而实现了彩色图像的单通道加密. 该方法既保证了安全性,同时在加密时仅需要一个相干光源,简化了系统,实用性较强. 模拟实验结果证明了其有效性. 关键词： 彩色图像 单通道加密 三色光栅 双随机相位     

基于双相位编码的单通道彩色图像加密

提出一种基于双相位编码的单通道彩色图像加密方法. 在该方法中,将彩色图像转换到HSI空间,I分量即可作为相位编码的原始待加密图像;而采用双随机相位加密技术对S分量加密后得到的相息图,与H分量一起构成了对I分量加密的双相位. 由于双随机相位加密技术有很高的安全性,在不知密钥的情况下解出S分量几乎是不可能的,由此保证了彩色图像加密的安全性. 模拟实验结果证明了该方法的有效性. 关键词： 彩色图像 单通道 双相位编码     

LED在电学演示实验中的应用

发光二极管(KED)可较广泛地应用于电学演示实验中,其低工作电流、单向导通、多色彩等特点,可弥补小白炽灯泡及检流计的一些不足,使演示实验不仅简便易行,而且演示效果直观,生动。     

阿奇霉素与茜素的电荷转移反应及其测定

建立了一种快速测定阿奇霉素的荷移分光光度法。阿奇霉素与茜素在乙醇介质中发生电荷转移反应 ,电荷转移络合物在 5 4 6nm处有最大吸收 ,表观摩尔吸光系数为 5 .79× 10 3 L·mol-1·cm-1;该络合物的组成是 1∶1;稳定常数为 4 .8× 10 3 ;药物浓度在 5～ 12 0mg/L范围内服从比耳定律。利用本法测定了阿奇霉素制剂中有效成分的含量 ,并与文献法进行比较 ,二者结果基本吻合。     

Enantioselective Separation of Basic Drugs by CE with Polygalacturonic Acid as a Novel Chiral Selector

Polygalacturonic acid, a linear high molecular weight homopolysaccharide was investigated as a chiral selector in capillary zone electrophoresis for the separation of enantiomers of basic drugs. The choices of running buffer pH and concentration of chiral selector were found to be important for the improvement of enantioselectivity. The effects of background electrolyte concentration and the capillary temperature on the separation were also examined. Enantioseparations were carried out in the acidic conditions using 1.5% polygalacturonic acid (w/v) in a 40 mM phosphate buffer under an applied voltage of 15 kV. The optimization of these separations was dependent on the nature of the analytes and could be achieved by the proper choice of experimental conditions. A brief mechanism of enantiorecognition by polygalacturonic acid was also given.