Synthesis of Ruthenium-Graphene Quantum Dots Artificial Oxidase and Its Application in Colorimetric Detection of Phoxim in Carrots北大核心CSCD

The histidine functionalized graphene quantum dots（His-GQDs）react with ruthenium trichloride to form a stable ruthenium complex. This complex is treated in a N2 atmosphere at 600 ℃ for 1 h to obtain a ruthenium-graphene quantum dot composite （Ru-His-GQD）. The results of scanning electron microscopy （SEM）and transmission electron microscopy（TEM）analysis demonstrate that Ru-His-GOD has one three-dimensional structure. The diameter of ruthenium nanoparticles is between 40 and 60 nm. Ru-His-GQD is rich in functional groups and has high oxidase-like activity. Based on Ru-His-GQD catalyzed oxidation of 3,3′,5,5′-tetramethylbenzidine（TMB）to produce blue compounds,a photometric method for the determination of phoxim in carrots is established. Phoxim can inhibit the activity of Ru-His-GQD oxidase,resulting in a decrease in the absorbance of the blue compound. When the concentration of phoxim is between 30～240 μg/ L,the absorbance of the oxidation product of TMB at 652 nm decreases linearly with the increase of phoxim concentration. The detection limit of the method reaches 7. 33 μg/L（S/N=3）,and the sensitivity is higher than those in literature. It has been successfully applied to the detection of phoxim in carrots. © 2022, Science Press (China). All rights reserved.     

三维非匀质Navier-Stokes方程的部分正则性

本文首先引进非匀质Navier-Stokes方程恰当弱解的概念.当初始密度接近正常数的情形时,通过结合局部能量不等式、Sobolev嵌入、压力估计和blow up分析技术,本文建立了恰当弱解的内部正则性准则.最后利用内部正则性准则证明了恰当弱解可能奇异点集的一维Hausdorff测度为零.     

轴流压缩系统过失速行为的非线性分叉分析

采用Greitzer的轴流压缩系统数学模型，按照B参数对压缩系统不稳定行为的影响，分阶段对从失速到喘振的过失速过程进行非线性分析，并得到了临界点B附近的变化规律。基于分叉理论，证明了在产生Hopf分叉后，系统可产生唯一且稳定的极限环，且在有限域内的系统轨迹趋近于这个稳定的极限环。     

THE HOLDER CONTINUITY OF A CLASS OF 3-DIMENSION ULTRAPARABOLIC EQUATIONS

We obtained the Cα continuity for weak solutions of a class of ultraparabolic equations with measurable coeffcients of the form
δt u = δx（a（x, y, t）δx u） ＋ b0（x, y, t）δxu ＋ b（x, y, t）δyu, which generalized our recent results on KFP equations.