Solvent-free 1,6-conjugate arylation of para-quinone methides: A greener approach to unsymmetrical triarylmethanes

A highly efficient arylation of para-quinone methides (p-QMs) with N,N-dimethylaniline under solvent free condition has been developed, which proceeded via a para-toluenesulfonic acid (TsOH)-promoted 1,6-conjugated addition pathway. This methodology provided a green and sustainable methodology to construct various novel unsymmetrical triarylmethanes (TAMs) with the advantages of good functional group tolerance, scalability, and regioselectivity.     

聚6-羟基己酸碱性条件下的水解反应研究

探究了碱性条件下聚6-羟基己酸水解反应的机理和最优化工艺条件。实验过程中选用碱度较大的氢氧化钠及碱度较小的碳酸氢钠作为反应试剂。研究表明:碱度不同,其反应机理,反应工艺条件亦不同。碱度越大,OH~-浓度越大,亲核基团[OH~-]直接进攻聚6-羟基己酸的酯基结构,使酯基键发生断裂反应,生成小分子的6-羟基己酸;反应工艺条件缓和,在100℃的集热式恒温加热磁力搅拌器中既可完全解聚。碱度大的氢氧化钠参与反应的最优化工艺条件:氢氧化钠/聚6-羟基己酸摩尔比为4.4,乙二醇/聚6-羟基己酸摩尔比为6.5,水用量100g,催化剂0.1g,反应时间2h,反应温度100℃条件下,6-羟基己酸产率达到84.07%;碱度小的碳酸氢钠钠参与反应的最优化工艺条件:碱度越小,OH~-浓度越小,在反应初期亲核基团[-OCH_2CH_2OH]占主导地位,发生醇解反应的概率大,整个反应体系为醇解反应与水解反应相互促进进行;反应工艺条件苛刻,须在180℃密闭高压釜中完全解聚。碳酸氢钠/聚6-羟基己酸摩尔比为1.1,乙二醇/聚6-羟基己酸摩尔比为3,水用量100g,催化剂0.1g,反应时间1h,反应温度180℃~190℃条件下,6-羟基己酸产率达到90.38%。在整个反应系统中,乙二醇作为溶剂来使用。     

Abel群的一些分解定理的推广(I)

这项研究的目的是要把Abel群（有限或无限）的诸多分解定理尽可能地推广到主理想整环的模上,得到这类模上的分解定理,随后再把所得定理应用到向量空间（有限维或无限维）及其线性变换,得到向量空间的分解定理.本文是系列文章的第一篇,主要目的是建立起支撑整个研究的最基本概念,例如纯子模、有界模、局部循环模、具有minimax条件的模等.本文主要内容有： （1）确定了主理想整环上可除模、有界模、局部循环模的结构; （2）给出了主理想整环上拟循环模的生成性质,这类模在以后的研究里起着非常重要的作用; （3）描述了主理想整环上满足极小条件,minimax条件的模的结构; （4）给出了两个不同构的Z[i]-模,它们作为Abel群是同构的.     

SDEs with constraints driven by semimartingales and processes with bounded p-variation

We study the existence, uniqueness and stability of solutions of general stochastic differential equations with constraints driven by semimartingales and processes with bounded $p$-variation. Applications to SDEs with constraints driven by fractional Brownian motion and standard Brownian motion are given.     

关于求解随机用户均衡问题的截断拟牛顿型信赖域法研究

信赖域法是一种保证全局收敛性的优化算法,为避免Hessian矩阵的计算,基于拟牛顿校正公式构造了求解带线性等式约束的非线性规划问题的截断拟牛顿型信赖域法.首先给出了截断拟牛顿型信赖域法的构造过程及具体步骤;然后针对随机用户均衡模型中变量和约束的特点对算法进行了修正,并将多种拟牛顿校正公式下所得结果与牛顿型信赖域法的结果进行了比较,结果发现基于对称秩1校正公式的信赖域法更为合适.最后基于数值算例结果得到了一些在算法编程过程中的重要结论,对其它形式信赖域法的编程实现具有一定的参考意义.     

A New Variational Formulation for a Kind of Reaction-diffusion Problem in Broken Sob olev Space

In this paper, a new variational formulation for a reaction-diffusion problem in broken Sobolev space is proposed. And the new formulation in the broken Sobolev space will be proved that it is well-posed and equivalent to the standard Galerkin variational formulation. The method will be helpful to easily solve the original partial differential equation numerically. And the method is novel and interesting, which can be used to deal with some complicated problem, such as the low regularity problem, the differential-integral problem and so on.     

局部上循环的3-Hom李双代数和3-李经典Hom-杨巴克斯方程

本文介绍了局部上循环的3-Hom李双代数,它的乘法和余乘两种运算的相容条件由局部上循环条件给出.作者研究了扭的3元版本的杨巴克斯方程,称为3-李Hom-杨巴克斯方程,它是文献[1]中3- 李杨巴克斯方程的一种广义化.文章证明由3-李Hom-杨巴克斯方程的解所诱导的双代数,可得到上边缘的局部上循环的3-Hom 李双代数.     

Aqueous microwave-assisted DMAP catalyzed synthesis of β-phosphonomalonates and 2-amino-4H-chromen-4-ylphosphonates via a domino Knoevenagel-phospha-Michael reaction

An aqueous microwave (mw)-assisted DMAP catalyzed one-pot highly efficient route to synthesize β-phosphonomalonates and 2-amino-4H-chromen-4-yl phosphonates has been demonstrated via the domino Knoevenagel-phospha-Michael reaction of aryl aldehyde/salicylaldehyde, malononitrile/ethyl cyanoacetate and alkyl phosphite ester. Optimization of reaction conditions were performed by using conventional and microwave synthetic approaches. This conversion proceeded smoothly to deliver the desired product in good to excellent yields (75–95%) in a short reaction time (10–12 min). The present methodology is very simple, environmentally benign, high yielding and has very well demonstrated the synergistic effect of water and microwaves.     

Stochastic partial functional differential equations with locally monotone coefficients,locally Lipschitz non-linearity and delay

In this paper, we study the existence and uniqueness of strong solutions for stochastic partial functional differential equations with locally monotone coefficients, locally Lipschitz non-linearity, and time delay. Our results extend previous results obtained by Liu–Röckner, Caraballo et al. and Taniguchi et al. Examples are given to illustrate the wide applicability of our results.