黏性、表面张力和磁场对Rayleigh-Taylor不稳定性气泡演化影响的理论分析

采用理论分析的方法考察了磁场中非理想流体中Rayleigh-Taylor(RT)不稳定性气泡的演化过程,在与磁场垂直的平面中,综合考虑流体黏性和表面张力的影响,推导了二维非理想磁流体RT不稳定性气泡运动的控制方程组,给出了不同情况下气泡速度的渐近解和数值解,分析了流体黏性、表面张力和磁场对气泡发展的影响,分析结果表明:流体黏性和表面张力能够降低气泡速度和振幅,即能够抑制RT不稳定性;而磁场对RT不稳定性的影响是由非线性部分引起的,并且磁场非线性部分的方向决定了磁场是促进还是抑制RT不稳定性的发展,     

一氧化氮合酶的结构及其催化机理

综述了一氧化氮合酶的结构、功能和催化路径, 讨论了诱导型一氧化氮合酶的结构和功能的关系以及加氧氧化的机理.     

参系数零维分片代数簇的实零点

分片代数簇是一些多元样条函数的公共零点集. 文中表明: 解参系数分片代数簇问题可转化为解有限个包含严格不等式的参系数多项式系统. 利用半代数系统的正则分解和柱形代数分解方法, 提出了计算零维参系数分片代数簇无挠实零点数的上确界, 以及达到上确界时实零点在各个胞腔内的数目分布情形的算法. 该算法同时能产生达到上确界的充要条件, 以及达到上确界时实零点数在各个$n$维胞腔内 取得某种分布的充要条件. 也给出了另一算法, 用于产生零维分片代数簇在$n$维复形中的 各个$n$维胞腔内恰有指定数目的相异无挠实零点的充分必要条件.     

Facile synthesis of axially chiral styrene-type carboxylic acids via palladium-catalyzed asymmetric C–H activation

A novel method by a one-step introduction of axial chirality and sterically hindered group has been developed for facile synthesis of axially chiral styrene-type carboxylic acids. With the palladium-catalyzed C–H arylation and olefination of readily available cinnamic acid established, this transformation demonstrated excellent yield, excellent stereocontrol (up to 99% yield and 99% ee), and broad substrate scope under mild conditions. The axially chiral styrene-type carboxylic acids produced have been successfully applied to Cp*Co^III-catalyzed asymmetric C–H activation reactions, indicating their potential as chiral ligands or catalysts in asymmetric synthesis.

Palladium-catalyzed asymmetric C–H functionalization to yield axially chiral styrene-type carboxylic acids is described, in which axial chirality and sterically hindered group were incorporated in one-step.     

Nortriterpenoids from Schisandra chinensis and their absolute configurational assignments by electronic circular dichroism study

Twelve new nortriterpenoids, namely wuweizidilactones J–P (1–7), schindilactones I–K (8–10), preschisanartanin N (11), and schisdilactone J (12), as well as 23 known analogues, were isolated from the leaves and stems of Schisandra chinensis. The absolute configurations of 1 and 11 were established by calculated electronic circular dichroism (ECD) spectra and that of 7 was confirmed by single-crystal X-ray diffraction. The absolute configurations of 2–6, 8, and 9 were determined by an empirical comparison of their experimental ECD spectra with that of 1. It is the first time that the ECD spectra of 18(13→14)-abeo-schiartane-, 18-norschiartane-, and schisanartane-type nortriterpenoids possessing an α,β-unsaturated-γ-lactone moiety are presented, this method providing an alternative means of obtaining absolute configurational assignments for these types of nortriterpenoids. All isolates were evaluated for their anti-acetylcholinesterase and anti-butyrylcholinesterase activities, and compounds 8, 13, 23, and 31 show anti-acetylcholinesterase activity at concentrations of 50 μM, with 12.7, 10.7, 16.6, and 32.1% inhibition, respectively.     

Stability and Neimark-Sacker bifurcation analysis for a discrete single genetic negative feedback autoregulatory system with delay

In this paper, we deal with a discrete single genetic negative feedback autoregulatory system with delay by using Euler method. Choosing the delay $\tau $ as the bifurcation parameter and analyzing the associated characteristic equation corresponding to the unique positive fixed point, it is found that the stability of the positive equilibrium and Neimark-Sacker bifurcation may occur when $\tau $ crosses some critical values. Then the explicit formula which determines the stability, direction, and other properties of bifurcating periodic solution is derived by using the center manifold theorem and normal form theory. Finally, in order to illustrate our theoretical analysis, numerical simulations are also included in the end.     

Enantioselective Construction of C−SCF3 Stereocenters via Nickel Catalyzed Asymmetric Negishi Coupling Reaction

The construction of the SCF₃-containing 1,1-diaryl tertiary carbon stereocenters with high enantioselectivities is reported via a nickel-catalyzed asymmetric C−C coupling strategy. This method demonstrates simple operations, mild conditions and excellent functional group tolerance, with newly designed SCF₃-containing synthon, which can be easily obtained from commercially available benzyl bromide and trifluoromethylthio anion in a two-step manner. Further substrate exploration indicated that the reaction system could be extended to diverse perfluoroalkyl sulfide (SC₂F₅, SC₃F₇, SC₄F₉, SCF₂CO₂Et)-substituted 1,1-diaryl compounds with excellent enantioselectivities. The synthetic utility of this transformation was further demonstrated by convenient derivatization to optical SCF₃-containing analogues of bioactive compounds without an apparent decrease in enantioselectivity.     

数字像面全息与同轴全息实验研究

通过采用数字像面全息与同轴全息技术拍摄透明物体以及不透明物体的全息图,并在计算机上再现。结果表明,当记录较小物体的全息图像时像面全息技术更加合适。     

激波作用下SF6气泡界面演化和射流发展的数值模拟

 数值研究了平面激波冲击氮气环境中SF₆气泡界面的Richtmyer-Meshkov不稳定性,重点关注其中的激波聚焦及射流的产生和发展过程。在入射激波马赫数为1.23的情况下,给出了压力、密度、数值纹影和涡量等物理量的演化图像,定量分析了流场中压力最大值、密度最大值、射流速度、环量和斜压力矩随时间的变化关系。计算结果表明,平面激波冲击SF₆气泡过程有很强的聚能效应,在气泡内部靠近下游极点处发生激波近似理想聚焦和点爆炸现象,直接导致出现二次波系以及向下游运动的细长射流结构。相比入射激波,二次波系产生斜压力矩和涡量的能力要弱得多。