Convergence of the viscosity solution of non-autonomous Hamilton-Jacobi equations

In this paper,we investigate the non-autonomous Hamilton-Jacobi equation ■ where H is 1-periodic with respect to t and M is a compact Riemannian manifold without boundary.We obtain the viscosity solution denoted by T_(t_0)~tφ(x) and show T_(t_0)~tφ(x) converges uniformly to a time-periodic viscosity solution u~*(x,t) of ?_tu+H(t,x,?_xu,u)=0.     

An adaptive smooth unsaturated bistable stochastic resonance system and its application in rolling bearing fault diagnosis

An adaptive smooth unsaturated bistable stochastic resonance (ASUBSR) system for bearing fault signal detection is established. Based on the problem of output saturation and poor low-frequency suppression performance of classical bistable stochastic resonance (CBSR) system, an SUBSR with unsaturated characteristics is proposed. An ASUBSR system is designed by extracting the envelope spectrum of the input signal and resampling it to satisfy the adiabatic approximation condition, combining high-pass filter to filter out low-frequency interference, and using genetic algorithm to select the optimal system parameters. Through simulations and experiments, we found that the system can effectively suppress the interference of low-frequency and high-frequency, indicates that the system performs like a band-pass filter, and the output signal-to-noise ratio is better than that of the CBSR system. The proposed ASUBSR system has great application in the field of fault detection of rolling bearings.     

A DFT-D study on influences of molecular vacancy,water and ethylenediamine substitutions on structural and electronic properties of nitromethane

Structural and electronic properties of vacancy, water and ethylenediamine substitutions in nitromethane were calculated using the first-principles density-functional theory. The results indicate both vacancy and substitution decrease the band gaps, which suggests the sensitivity of nitromethane has been enhanced. Compared with vacancy and water substitution, ethylenediamine substitution even more distinctly decreases the band gap. It suggests that ethylenediamine substitution has a more remarkable effect on the sensitivity of nitromethane. The calculated formation energies show that the formations of these defects from pure crystals need extra energies. And the elastic constants of defective crystals imply a weak performance in elastic deformation.     

光谱法研究有机农药污染物与DNA的相互作用

利用紫外光谱、荧光光谱及圆二色谱(CD)等光谱方法研究了有机农药敌敌畏(DDVP)、乐果(DIM)、氧化乐果(OME)及生物农药申嗪霉素的有效成分吩嗪-1-羧酸(PCA)与端粒脱氧核糖核酸(DNA)间的相互作用。 结果表明,有机农药分子可能主要以嵌入模式与DNA结合,DDVP、DIM、OME以及PCA与端粒DNA之间的表观结合常数分别为：1.17×106、1.48×106、4.52×105和1.80×106 L/mol,与DNA结合能力的大小顺序为PCA＞DIM＞DDVP＞OME。 这些有机农药分子明显不利于DNA双螺旋结构的稳定性。 有机农药分子的嵌入削弱了DNA碱基对之间的π-π堆积作用,对DNA的二级结构有一定的影响,使得DNA的双螺旋结构变得松散。     

BixTiOy-TiO2复合膜电极光电催化去除模拟压载水中细菌

溶剂热-聚乙烯醇粘附法制备了钛网负载BixTiOy-TiO2复合膜电极。利用X射线衍射、紫外-可见漫反射、光致发光(PL)、扫描电子显微镜和能谱(EDS)等测试技术对合成的纳米材料和膜电极进行了表征。利用三电极系统对模拟压载水的灭菌效果进行实验研究。考察了外加电压、光源和膜电极的使用次数对光电催化灭菌效果的影响。UV-Vis实验表明,BixTiOy-TiO2复合材料比纯TiO2有好的可见光吸收;PL实验证明,复合材料比纯TiO2有更高光量子效率。对细菌浓度为106CFU/mL的模拟压载水的光电催化灭菌实验结果表明,外加电压为9 V,电极与溶液接触面积为140 cm2时,20 W紫外杀菌灯照射下反应2 min即可完全去除压载水中的细菌;聚乙烯醇粘附法制备的电极重复使用20次,灭菌效果不变。     

H6PMo9V3O40/SiO2催化剂催化酚类化合物选择性硝化

为创建洁净高效的酚类化合物硝化工艺,以杂多酸H6PMo9V3O40(PMAV3)为活性组分,硅胶为载体,浸渍法制备了负载型催化剂PMAV3/SiO2,采用红外光谱、X射线衍射谱、N2吸附-脱附法及TG-DSC分析等测试技术对该催化剂的结构及热稳定性进行了表征;考察了该催化剂对多种酚类化合物硝化反应的催化性能。结果显示,该催化剂对多种酚类化合物的硝化反应具有很强的催化活性和区域选择性,产率为83.7%~94.5%,其中苯酚、邻甲酚、邻氯苯酚和邻氟苯酚以邻位硝化产物居多,水杨酸的对位硝化产物占绝对优势;负载催化剂的织构性质与载体相近,但随负载量增加,比表面积逐渐降低;PMAV3/SiO2的热稳定性好于本体PMAV3。催化剂回收容易,重复使用5次,活性基本不变。     

甲氨蝶呤/层状双金属氢氧化物的性能调控及细胞生物实验研究

在乙醇-水混合体系中,以氨水为沉淀剂共沉淀合成了甲氨蝶呤/层状双金属氢氧化物(MTX/LDH)纳米复合物,采用控制水热处理时间的方式来调控其性能。利用X-射线衍射(XRD)、透射电镜(TEM)和红外光谱(FT-IR)等表征手段,对其结构及形貌进行了表征。研究表明:MTX分子以单层倾斜或垂直方式插入LDH层间,随着水热处理时间的不同,MTX在层间的倾斜角度发生了变化;水热处理时间对产物的结晶度、粒径和层间排列方式都有影响,当水热处理时间为12h时,得到的MTX/LDH纳米复合物的结晶度最高,单分散性最好。在磷酸缓冲液中考察了MTX/LDH纳米复合物的缓释性能,结果表明样品均呈现出良好的缓释性能,释放速率先快后慢。重点考察了这几种MTX/LDH纳米复合物作用于肺癌细胞A549的细胞生物实验,研究表明这几种复合物对肺癌细胞A549都具有良好的抑制作用,其效果与纳米复合物的单分散性和粒径有密切的关系,单分散性越好,粒径分布越均匀,对A549癌细胞的抑制效果越好。     

The critical behavior of {water + AOT + decane} microemulsion with various molar ratios of water to AOT

To examine the critical behavior of the microemulsion, we have determined the coexistence curves for two ternary microemulsion systems of {water + sodium di(2-ethylhexyl) sulfosuccinate (AOT) + n-decane} with the molar ratios ω = (45.2 and 50.0) of water to AOT, respectively, by measuring refractive index at a constant pressure in the critical region. The critical exponent β and the critical amplitude B have been deduced from the coexistence curves. It was found that the values of β for both systems were consistent with the 3D-Ising exponent in a critical region. By increasing ω, i.e. the droplet size, the critical temperature and, to a lesser extent, the critical concentration decrease. The region of coexisting two phases was drastically reduced by an increase in the droplet size.     

The dynamics of an eco-epidemiological model with distributed delay

In this paper, the dynamical behavior of an eco-epidemiological model with distributed delay is studied. Sufficient conditions for the asymptotical stability of all the equilibria are obtained. We prove that there exists a threshold value of the conversion rate h beyond which the positive equilibrium bifurcates towards a periodic solution. We further analyze the orbital stability of the periodic orbits arising from bifurcation by applying Poore’s condition. Numerical simulation with some hypothetical sets of data has been done to support the analytical findings.     

Existence of traveling wavefronts of discrete reaction-diffusion equations with delay

In this paper, we investigate the temporally discrete reaction-diffusion with delay. By using Schauder’s fixed point theorem, we establish the existence of traveling wave fronts. The main result is applied to a delayed and discretely diffusive model for the population of Daphnia magna.