一个环境依赖型二维纯林发展系统的古典解

本文提出了一类环境依赖型二维纯林发展系统模型,并证明了这个系统整体古典解的存在唯一性.     

基于虚拟时间反转镜的垂直阵舰船辐射噪声级测量方法

研究了利用垂直阵测量舰船辐射噪声过程中因水声信道的多径效应对测量性能产生的影响,建立了基于声场模型的舰船辐射噪声测量的数学模型,推导了基于虚拟时间反转镜辐射噪声测量的理论公式,提出了一种基于虚拟时间反转镜技术的垂直阵舰船辐射噪声级测量方法。该方法首先采用基于波束积分的SCOOTER模型,根据海洋环境参数计算出辐射声源至测量水听器之间的信道传输函数,然后,用计算出的信道传输函数对接收信号做虚拟时反处理,以消除或减弱信道多径效应对接收信号的影响,从而提高舰船辐射噪声级测量精度。针对典型的浅海声信道,进行了计算机仿真试验。结果表明,该方法能有效地进行舰船宽带辐射噪声测量,当阵元个数满足一定要求时,测量得到的声源级与实际声源级相比,误差小于1 dB。     

非均匀海洋环境噪声中的匹配场处理舰船辐射噪声级估计方法

在实际舰船辐射噪声测量过程中,受非均匀海洋环境噪声的影响,导致常规测量方法的性能急剧下降,基于此,提出了一种非均匀海洋环境噪声背景中的垂直阵舰船辐射噪声测量方法。根据水声信道传播理论,建立了由海面多个空时独立均匀分布噪声源构成的非均匀背景噪声场模型,推导了非均匀海洋环境噪声场中垂直阵舰船辐射噪声估计的理论公式。针对典型的浅海水声信道,进行计算机仿真实验,分析了该方法的测量性能并与常规匹配场测量方法进行对比,结果表明:(1)该方法能有效克服非均匀海洋环境噪声对测量结果的影响,测量误差较小;(2)相同测量条件下,该方法测量性能优于常规匹配场舰船辐射噪声级测量方法;(3)当信噪比满足一定要求时,测量得到的声源级与实际声源级相比,误差小于1 dB。     

Sustainable Synthesis of Pure Silica Zeolites from a Combined Strategy of Zeolite Seeding and Alcohol Filling

Currently, the synthesis of pure silica zeolites always requires the presence of organic structure‐directing agents (OSDAs), which direct the assembly pathway and ultimately fill the pore space. A sustainable route is now reported for synthesizing pure silica zeolites in the absence of OSDAs from a combined strategy of zeolite seeding and alcohol filling, where the zeolite seeds direct crystallization of zeolite crystals from amorphous silica, while the alcohol is served as pore filling in the zeolites. Very importantly, the alcohol could be fully washed out from zeolite pores by water at room temperature, which completely avoids calcination at high temperature for removal of OSDAs in the synthesis of pure silica zeolites.     

Recyclable Porous Polymer‐Supported Copper Catalysts for Glaser and Huisgen 1,3‐Diolar Cycloaddition Reactions

A family of polymer‐attached phenanthrolines was prepared from solvothermal copolymerization of divinylbenzene with N‐(1,10‐phenanthroline‐5‐yl)acrylamide in different ratios. The polymer‐supported copper catalysts were obtained through typical impregnation with copper(II) salts. The polymers and supported copper catalysts have been characterized by N₂ adsortion, scanning electron microscopy (SEM), transmission electron microscopy (TEM), and thermogravimetric analysis (TG); they exhibit a high surface area, hierarchical porosity, large pore volume, and high thermal and chemical stabilities. The copper catalyst has proved to be highly active for Glaser homocoupling of alkynes and Huisgen 1,3‐diolar cycloaddition of alkynes with benzyl azide under mild conditions at low catalyst loading. The heterogeneous copper catalyst is more active than commonly used homogeneous and nonporous polystyrene‐supported copper catalysts. In particular, the catalyst is easily recovered and can be recycled at least ten times without any obvious loss in catalytic activity. Metal leaching was prevented due to the strong binding ability of phenanthroline and products were not contaminated with copper, as determined by ICP analysis.     

A PARABOLIC EQUATION WITH HYSTERESIS

A parabolic equations with hysteresis is discussed. The existence of smoothstrong solution of one-dimension initial boundary problem of the equation isgiven.     

FeCl3 · 6H2O-Catalyzed Acceleration of the Acylation of Sodium Azide with N-Acylbenzotriazoles

Catalyzed by ferric chloride hexahydrate (FeCl₃ · 6H₂O), the acylation of sodium azide with N-acylbenzotriazoles was greatly accelerated in a mixed solvent of acetone and water. Thus, good to excellent yields of a variety of acyl azides were obtained at room temperature in a short time. Furthermore, because of the complete conversion of N-acylbenzotriazoles and the easy removal of the by-product, purification by column chromatography was no longer required, which made the protocol suitable for large-scale preparation.

Multicenter‐Bond‐Based Quantum Interference in Charge Transport Through Single‐Molecule Carborane Junctions

Molecular components are vital to introduce and manipulate quantum interference (QI) in charge transport through molecular electronic devices. Up to now, the functional molecular units that show QI are mostly found in conventional π‐ and σ‐bond‐based systems; it is thus intriguing to study QI in multicenter bonding systems without both π‐ and σ‐conjugations. Now the presence of QI in multicenter‐bond‐based systems is demonstrated for the first time, through the single‐molecule conductance investigation of carborane junctions. We find that all the three connectivities in carborane frameworks show different levels of destructive QI, which leads to highly suppressed single‐molecule conductance in para‐ and meta‐connected carboranes. The investigation of QI into carboranes provides a promising platform to fabricate molecular electronic devices based on multicenter bonds.     

基于VPM-THINC/QQ模型的波浪高保真模拟

为实现波浪传播的高保真数值模拟,采用包含单元均值和点值(volume-average/point-value method,VPM)的有限体积法求解纳维-斯托克斯方程和具有二次曲面性质和高斯积分的双曲正切函数(THINC method with quadratic surface representation and Gaussian quadrature,THINC/QQ)方法来重构自由面,建立以开源求解库OpenFOAM底层函数库为基础的VPM-THINC/QQ模型. 在本模型中添加推板造波法实现波浪的产生功能,采用松弛法实现消波功能,构建高精度黏性流数值波浪水槽. 分别采用VPM-THINC/QQ模型和InterFoam求解器(OpenFOAM软件包中广泛使用的多相流求解器)开展规则波的数值模拟,重点探究网格大小和时间步长等因素对波浪传播过程的影响,定量地分析波高衰减程度;为验证本模型的适应性,对长短波进行模拟. 结果表明,在相同网格大小或时间步长条件下,VPM-THINC/QQ模型的预测结果与参考值吻合较好,波高衰减较少,且无相位差,在波浪传播过程的模拟中呈现出良好的保真性. 本文工作 为波浪传播的模拟研究提供了一种高精度的黏性数值波浪水槽模型.