一类拟线性椭圆变分不等式解的存在性(英文)

考虑了一类p-Laplacian拟线性椭圆变分不等式问题,通过运用优化理论中的补偿法和Clark次微分性质,研究了这类椭圆变分不等式解的存在性.     

从一个习题到十个命题

从一道熟知的微积分习题,可以导出十个相关的命题.通过这一讨论过程,试图表明什么是创造性学习,以及如何进行创造性学习.     

Preface

<正>Professor Roger Temam is a world renowned applied mathematician. His first major contribution to science is his thesis (these d'etat) worked under the direction of the late Professor Jacque-Louis Lions on fractional step methods and their application to the incompressible Navier-Stokes equations (independently studied by Alexander Chorin).     

Strong （Weak） Exact Controllability and Strong （Weak） Exact Observability for Quasilinear Hyperbolic Systems

Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper.Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed,and are shown to satisfy discrete energy laws which are analogous to the continuous energy laws.     

一类具有动力边界条件的进化方程解的衰减性

本文研究了一类具有动力边界条件的方程解的衰减性.利用能量扰动法,得到了解的衰减性与外力f(x,t)之间的关系,即它们具有相同的指数衰减性和代数衰减性.     

Well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces

In this paper we prove the local and global well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces under certain conditions of s, q, and σ.     

K_2(9~1∑~+_g)高位电子态与H_2碰撞中H_2的能量分布

光学-光学双共振激发K2到91∑+g高位态,研究了K2(91∑+g)与H2的电子-振转碰撞能量转移。利用相干反斯托克斯(CARS)光谱技术探测H2的振转态分布,扫描CARS谱表明H2在(1,1)、(2,1)、(2,2)、(3,1)、(3,2)、(3,3)和(3,5)能级上有布居。由时间分辨CARS轮廓得到H2各振转能级上粒子数之比,得到H2的平均振动能和平均转动能分别为9063cm-1和388cm-1。从91∑+g→11∑+u、11∑+u→11∑+g、33∏g→13∑+u跃迁的时间分辨激光感应荧光(LIF)强度得到它们的自发辐射率和碰撞转移率。在H2压强为3×103Pa时,K2(91∑+g)与H2的碰撞转移能为16930cm-1。H2的平均振转能占平均转移能的56%。     

2,3,7-三羟基-9-水杨基荧光酮分光光度法测定铌钽矿中钽

铌钽矿石经碱熔融预处理后,甲基异丁基酮分离钽,以酒石酸作为辅助络合剂,在表面活性剂十六烷基三甲基溴化铵存在下,2,3,7-三羟基-9-水杨基荧光酮与钽发生灵敏的显色反应.络合物的摩尔吸光系数为3.24×105L·mol-1·cm-1,其最大吸收波长为527nm,且钽在0-32μg/50mL范围内符合比耳定律,相关系数为0.9993.该法应用于铌钽矿中钽的测定效果较好.     

食品中铝的测定及超标对人体的危害

用分光光度法测定了油炸食品、膨化、威化、面包粉、海蜇中的铝含量.利用Al3+在乙二胺-盐酸溶液缓冲介质中,与铬天青S及溴代十六烷基吡啶(CPB)反应形成蓝绿色四元胶束,在620nm处测定其吸光度,并对CPB质量浓度进行了最佳选择.结果表明,该法提高了测定灵敏度.5种类型的样品中,海蜇的铝含量最高;面包粉的铝含量最少.此方法允许pH值范围宽、稳定性好、操作简便,测定食品中微量铝得到较好的精密度和准确度.     

12C6+离子辐照对阿维链霉菌代谢效应研究

对12C6+ 离子辐照诱变高产阿维链霉菌株ZJAV-Y1-203 和原始菌株ZJAV-A-1 的摇瓶发酵pH 值、菌体浓度、碳源和氮源代谢进行了测定,研究了12C6+ 辐照对阿维链霉菌的代谢效应。在发酵前期(48h),原始菌株发酵液pH 值低于突变菌株;在发酵96~196 h,诱变高产菌株ZJAV-Y1-203 繁殖快,生长旺盛,N的利用率高;菌体浓度大于原始菌株的浓度,且发酵液的pH 稳定,菌体处于代谢相对更稳定期;在发酵144~240 h,诱变高产菌株ZJAV-Y1-203 对糖源消耗低于原始菌株ZJAV-A-1。这些结果表明,12C6+ 离子辐照对阿维链霉菌代谢影响有利于阿维菌素合成。pH value, mycelium concentration, carbon source and nitrogen metabolism in flask fermentation of the mutant high-producing strain ZJAV-Y1-203 and the original strain ZJAV-A1 have been investigated, in order to show the metabolic effect of avermitilis irradiated by ion beam of 12C6. In early stage (48 h) of the fermentation, pH value of the original fermentation was lower than that of the mutant strains. In 96~196 h of fermentation, the nitrogen utilization in the strains ZJAV-Y1-203 was higher than that in the original strains, its reproductive was fast, and its growing was vigorous. The mycelium concentration of ZJAV-Y1-203 was greater than the original strain, and the pH value of fermentation were stable, so its metabolism was relatively more stable. In 144240 h of fermentation, the strain ZJAV-Y1-203 on sugar consumption was less than the original strains. The effect of 12C6 ion irradiation on metabolism of Streptomyces avermitilis is conducive to the synthesis of avermectin.