Singular Ricci Solitons and Their Stability under the Ricci Flow

We introduce certain spherically symmetric singular Ricci solitons and study their stability under the Ricci flow from a dynamical PDE point of view. The solitons in question exist for all dimensions n + 1 ≥ 3, and all have a point singularity where the curvature blows up; their evolution under the Ricci flow is in sharp contrast to the evolution of their smooth counterparts. In particular, the family of diffeomorphisms associated with the Ricci flow “pushes away” from the singularity causing the evolving soliton to open up immediately becoming an incomplete (but non-singular) metric. The main objective of this paper is to study the local-in time stability of this dynamical evolution, under spherically symmetric perturbations of the singular initial metric. We prove a local well-posedness result for the Ricci flow in suitably weighted Sobolev spaces, which in particular implies that the “opening up” of the singularity persists for the perturbations as well.     

CO2 Absorption Mechanism by the Nonaqueous Solvent Consisting of Hindered Amine 2-[(1,1-dimethylethyl)amino]ethanol and Ethylene Glycol

In this work, we studied the CO₂ absorption mechanism by nonaqueous solvent comprising hindered amine 2-[(1,1-dimethylethyl)amino]ethanol (TBAE) and ethylene glycol (EG). The NMR and FTIR results indicated that CO₂ reacted with an -OH group of EG rather than the -OH of TBAE by producing hydroxyethyl carbonate species. A possible reaction pathway was suggested, which involves two steps. In the first step, the acid–base reaction between TBAE and EG generated the anion HO-CH₂-CH₂-O-; in the second step, the O⁻ of HO-CH₂-CH₂-O⁻ attacked the C atom of CO₂, forming carbonate species.     

四元数向量和矩阵的秩

在四元数和四元数向量、矩阵空间上引入三种不同的实表示法则，将四元数列向量的左右线性相关性问题转换成实数域上向量的线性相关问题，由此获得用实矩阵的秩代替四元数矩阵列左秩和列右秩计算方法，同时得出四元数矩阵可逆的一些充要条件和一些新的四元数行列式定义．     

斯蒂酚酸铅制备工艺的红外光谱研究

本文用红外光谱手段研究了新法制备斯蒂酚酸铅的主要反应过程。从分子结构角度对反应时间、原料配比和产物形式作了测试、分析和确定。     

Modification-Free Fluorescent Biosensor for CEA Based on Polydopamine-Coated Upconversion Nanoparticles

Journal of Fluorescence - Upconversion nanoparticles (UCNPs) have achieved considerable success in protein sensing in vitro. And aptamer is one of the most frequently used biomolecules to modify...     

用于样品预处理的超声波设备的应用及进展

超声波辅助萃取是近年来在样品预处理中受到广泛关注的新技术,与其它萃取方法比较,它在很多方面都显示出极大的优越性.本文着重介绍超声波辅助萃取设备的原理、特点及其进展.     

双光子连续频率变量纠缠熵

介绍了连续频率变量系统中纠缠熵的计算方法。根据这种方法我们计算了自发参量下转换产生的具有高斯型频谱形式的双光子态的纠缠熵,证实了纠缠熵的大小和泵浦光带宽(σp)与下转换光带宽(σ)之比有关的直观分析.     

改性氧化石墨烯稳定Pickering乳液法制备高导热相变整体材料

采用表面引发原子转移自由基聚合法(SI-ATRP)改性氧化石墨烯(GO), 并用其稳定Pickering高内相乳液, 一步成型制得高导热氧化石墨烯/石蜡复合整体相变材料. 通过SI-ATRP方法, 在氧化石墨烯表面引入分子刷, 提高GO的分散性, 实现了低GO含量下优异的导热强化效果. 当GO添加量仅为相变复合材料整体的0.4%(质量分数)时, 其热导率(3.968 W?m^-1?K^-1)比纯石蜡的热导率(0.608 W?m^-1?K^-1)有较大提升. 通过测试发现, 在1000次循环后相变材料的泄漏率仅为1.1%~1.3%, 表现出良好的形状稳定性和热可靠性. 制备的新型形状稳定相变材料在温控、 储能应用中具有潜在的用途.     

应用热成象技术测量高温气流温度场

１前言高温风洞的温度高达１７００℃,流速达０．９马赫数。为了测量风洞中气流温度分布的均匀性,通常采用铂铑３０－铂铑１０热电偶温度传感器,但是它只能采用逐点移测法,因此它不可能在同一时刻将一条检测线上气流温度测量出来。同时在高温气流测量时,热电偶接点由...     

The effects of a multifunctional oligomer and its incorporation strategies on the gene delivery efficiency of poly(L-lysine)

A novel multifunctional oligomer is synthesized and incorporated to enhance the gene delivery efficiency of PLL via non-electrostatic assembly and covalent grafting strategies. The improvement of the gene delivery efficiency is dependent on the gene carrying complex properties, and the properties are dependent on the oligomer incorporation strategy.