Global existence and time decay of the non-cutoff Boltzmann equation with hard potential

This paper is concerned with the Cauchy problem on the Boltzmann equation without angular cutoff assumption for hard potential in the whole space. When the initial data is a small perturbation of a global Maxwellian, the global existence of solution to this problem is proved in unweighted Sobolev spaces $H^N\left({\mathbb{R}}_{x,v}^6\right)$ with $N\ge 2$. But if we want to obtain the optimal temporal decay estimates, we need to add the velocity weight function, in this case the global existence and the optimal temporal decay estimate of the Boltzmann equation are all established. Meanwhile, we further gain a more accurate energy estimate, which can guarantee the validity of the assumption in Chen et al. (0000).     

Two-dimensional vortex sheets for the nonisentropic Euler equations: Nonlinear stability

We show the short-time existence and nonlinear stability of vortex sheets for the nonisentropic compressible Euler equations in two spatial dimensions, based on the weakly linear stability result of Morando and Trebeschi (2008) [20]. The missing normal derivatives are compensated through the equations of the linearized vorticity and entropy when deriving higher-order energy estimates. The proof of the resolution for this nonlinear problem follows from certain a priori tame estimates on the effective linear problem in the usual Sobolev spaces and a suitable Nash–Moser iteration scheme.     

与HBV X蛋白相互作用的细胞蛋白的筛选及其鉴定

参考GenBank核苷酸序列库中的HBV的核苷酸序列设计合成了一对对应于HBx基因的引物，从原发性肝癌(hepatocellular carcinoma，HCC)患者的血清中提取HBV基因组DNA作为模板，扩增HBx编码区并测定了核苷酸序列．将该编码区克隆到酵母双杂交系统的诱饵蛋白表达载体pGBKT7中，转入酵母细胞AH109，进行表型鉴定．然后通过Mating实验从已制备好用于酵母双杂交系统的肝cDNA表达文库中筛选与HBx相互作用的细胞蛋白，并用体外免疫共沉淀实验进一步验证．研究表明，分离得到的与HBx基因编码的蛋白相互作用的4种新的细胞蛋白，分别是醛缩酶B、C8α亚基、一种丝氨酸蛋白酶Hepsin和一种未知蛋白．     

The structure of invertible substitutions on a three-letter alphabet

We study the structure of invertible substitutions on three-letter alphabet. We show that there exists a finite set of invertible substitutions such that any invertible substitution can be written as I_wσ₁σ₂σ_k, where I_w is the inner automorphism associated with w, and for 1jk. As a consequence, M is the matrix of an invertible substitution if and only if it is a finite product of non-negative elementary matrices.     

聚二甲基二烯丙基氯化铵的合成,表征及抗菌性能

65％的二甲基二烯丙基氯化铵（DADMAC）单体水溶液通过自由基聚合得到分子量约为5000的聚二甲基二烯丙基氯化铵（PDADMAC）均聚物。用红外光谱，核磁共振，X射线衍射仪，粘度法和扫描电镜对PDADMAC进行结构分析和表征。合成聚合物的抗霉菌实验表明，PDADMAC对多种霉菌有抑制作用，具有较宽的抑菌谱；抗细菌实验表明，PDADMAC对金黄色葡萄球菌，大肠杆菌，枯草芽孢杆菌具有不同程度的抑制作用。     

光照和氮素对外来植物凤眼莲生长和生理特性的影响

通过研究不同光照和氮素营养处理的外来植物凤眼莲的生长、生物量分配、硝酸还原酶活性、游离氨基酸以及可溶性蛋白质含量变化，探讨其对环境适应性的生理学机制。凤眼莲表现出极强的可塑性，随光照和氮素营养的增加，凤眼莲生长速率明显加快，氮素代谢关键酶硝酸还原酶活性上升。根部吸收的硝酸根离子大部分运输到叶片中还原，氮素同化效率高。氨基酸含量和可溶性蛋白质含量呈现明显的变化，叶片可溶性蛋白质含量与根冠生物量分配显著相关。本研究表明风眼莲对光照和氮素表现出很强的适应性，其快速生长和高可塑性依赖于对环境变化的牛理响廊。     

Ag纳米颗粒的光吸收和透射电镜研究

用硼氢化钠作还原剂,制备出两种相对稳定的含银纳米颗粒的水溶胶,用透射电镜（TEM）和光学吸收谱对这些颗粒进行了表征.当被还原的银离子较少时,所形成的银纳米颗粒较小,吸收峰呈现二极等离子体共振吸收峰.当被还原的银离子较多时,银纳米颗粒尺寸变大,并出现二极和四极共振吸收峰.在Ag纳米颗粒形成后,对其溶液稀释,发现其峰形保持不变,而峰位会出现红移,最大红移量可达到10 nm.透射电镜研究表明,低浓度溶胶中的Ag纳米颗粒尺寸较为均匀,平均直径12 nm.高浓度溶胶中的纳米颗粒尺寸呈双尺寸分布特点,少量颗粒直径小于14 nm,大部分颗粒直径大于20 nm.     

Viscosity solutions of fully nonlinear parabolic systems

In this paper, we discuss the viscosity solutions of the weakly coupled systems of fully nonlinear second-order degenerate parabolic equations and their Cauchy-Dirichlet problem. We prove the existence, uniqueness and continuity of viscosity solution by combining Perron's method with the technique of coupled solutions. The results here generalize those in Proc. London Math. Soc. 63 (1991) 212-240 and Comm. Partial Differential Equations 16 (1991) 1095-1128.