蕴含幂零性与谱任意符号模式矩阵

蕴含幂零性与谱任意符号模式矩阵是近几年组合数学中比较热门的一个研究方向。本文主要运用幂零-中心化子方法来证明谱任意。首先揭示了蕴含幂零及幂零指数与谱任意之间的关系,即:蕴含幂零的符号模式矩阵是谱任意的必要非充分条件且幂零指数为n的符号模式矩阵既非谱任意的必要条件也非充分条件。然后通过几类低阶的幂零矩阵构造了几类高阶的蕴含幂零符号模式矩阵和谱任意符号模式矩阵。最后给出了谱任意符号模式矩阵的直和仍为谱任意符号模式矩阵的一个新的条件。本文对构造幂零矩阵与谱任意符号模式矩阵有一定的应用价值。
     

有界区域上MHD方程的正则性准则

在三维空间的有界区域上考虑不可压缩MHD方程弱解的正则性准则。利用能量估计的方法证明了一些新的涉及压力项商的正则性准则。具体地,证明了若MHD方程的弱解 u,( b) 满足 * 上唯一的强解,其中w+=u+b;w-=u-b。(注:*表示公式,见正文 ）
     

求解Laplace方程的Signorini问题的边界元投影迭代法

对一类边界条件是非线性的Laplace方程的Signorini问题,提出了基于投影不动点方程的边界元迭代算法。由于Signorini边界条件 * 等价于的不动点问题 *,因此可以通过投影迭代格式 * 来满足Signorini边界条件,从而每一次迭代只需要求解一个标准的椭圆型混合边值问题。由于该算法是在Signorini边界上进行迭代,因此边界元方法很适合用于数值求解。然后利用投影性质和Green公式证明了算法的收敛性。最后,算例的数值结果表明了该算法的可行性和有效性。(注:*表示公式,见正文) ）
     

FY-3 satellite Ultraviolet Total Ozone Unit

FY-3 satellites are Chinese second-generation polar orbit meteorological satellite series. Ultraviolet Total Ozone Unit (TOU) is one of the main payloads on FY-3 satellite and the first instrument for daily global coverage of total ozone monitoring in China. The main purpose of TOU is to measure the Earth backscatter ultraviolet radiation for retrieving daily global map of atmospheric ozone. TOU will provide the important parameters for environmental monitoring, climate forecasting and global climate changi...     

Change of NO<Subscript>2</Subscript> column density over Beijing from satellite measurement during the Beijing 2008 Olympic Games

The effect of the air quality ensuring measures for the Beijing 2008 Olympic Games in reducing air pollution during the game period is assessed using the tropospheric NO₂ column density retrieved from Ozone Monitoring Instrument onboard AURA satellite. The basic method of the assessment is the comparison of the NO₂ column densities during the game period with that during the corresponding period of 2005−2007 for the Beijing area, and the comparison among Beijing and neighbouring cities Tianjin and Tangshan, which are of similar situation in air pollution of NO₂ in recent years. The images of tropospheric NO₂ column densities over Northern China during the Beijing 2008 Olympic Games show the remarkable effect of the air quality ensuring measures in reducing NO₂ pollution: the tropospheric NO₂ column density in Beijing is much lower than that in Tianjin and Tangshan, while there were very similar values in the three large cities during the same period of the last three years. About 40% reduction in tropospheric NO₂ column density over the Beijing area is obtained from the assessment during July to August, 2008, a key period of air quality ensuring measures for the Beijing 2008 Olympic Games.     

Preparation and evaluation of an enzymatic microreactor based on HILIC matrix for digestion and identification of proteins

In the present study,a new enzymatic microreactor is developed by immobilizing trypsin on the matrix-HILIC (hydrophilic interaction chromatography).The influences of different types of buffer solutions (borate,Tris·HCl,and phosphate),their concentrations and pH values on the immobilizing rate and the activity of immobilized trypsin were investigated.The optimal condition for off-line immobilization of trypsin on matix-HILIC was Tris·HCl buffer (20 mmol/L,pH 8.0),and then,under the optimal condition,an enzym...     

Global cooling controls on the chemical weathering as evidenced from the Plio-Pleistocene deposits of the North China Plain

Major element concentrations were analyzed on the sediments of a 203.6-m core from the North China Plain near Tianjin. The chemical index of alteration (CIA), Al2O3-(CaO+Na2O)-K2O diagram and elemental ratios, such as Al/K and Ti/Na, were used to reveal information of chemical weathering in the source regions since the late Pliocene. Results show that the fluvial materials in the North China Plain were derived from vast regions, which were in the early Na and Ca removal stage and underwent numerous upper-crustal recycling processes. Proxies of chemical weathering show a decreasing trend, in parallel with the global cooling since the late Pliocene, suggesting a strong role of the global cooing in controlling the continental chemical weathering intensity.     

Numerical study on combustion of diluted methanol-air premixed mixtures

The effect of nitrogen dilution on the premixed combustion characteristics and flame structure of laminar premixed methanol-air-nitrogen mixtures are analyzed numerically based on an extended methanol oxidation mechanism. The laminar burning velocities, the mass burning fluxes, the adiabatic flame temperature, the global activation temperature, the Zeldovich number, the effective Lewis number and the laminar flame structure of the methanol-air-nitrogen mixtures are obtained under different nitrogen dilution ratios. Comparison between experiments and numerical simulations show that the extended methanol oxidation mechanism can well reproduce the laminar burning velocities for lean and near stoichiometric methanol-air-nitrogen mixtures. The laminar burning velocities and the mass burning fluxes decrease with the increase of nitrogen dilution ratio and the effect is more obvious for the lean mixture. The effective Lewis number of the mixture increases with the increase of nitrogen dilution ratio, and the diffusive-thermal instability of the flame front is decreased by the nitrogen addition. Nitrogen addition can suppress the hydrodynamic instability of methanol-air-nitrogen flames. The decrease of the mole fraction of OH and H is mainly responsible for the suppressed effect of nitrogen diluent on the chemical reaction in the methanol-air-nitrogen laminar premixed flames, and the NOx and formaldehyde emissions are decreased by the nitrogen addition.     

无线多服机系统精确控制的设计

针对多伺服系统不易统一调试且控制精度不高的问题,提出了多路反馈综合控制的设计方法.该设计采用MSP430低功耗单片机进行精确PWM信号输出,通过ZigBee技术进行无线通信,利用码盘采样与比较进行数据反馈.结果表明:该设计与直接控制相比,提高了伺服系统的控制精度.     

高阶半线性抛物型方程解的整体存在性

研究了如下高阶半线性抛物型方程的Cauchy问题{ut+(-Δ)mu=│u│p-1u,(x,t)∈Rn×R1+ u(x,0)=u0(x),x∈Rn的解的整体存在性,其中m是正整数,p1+2m/n,n≥2。首先将该问题转化为与之等价的积分方程,然后通过引入该问题的一个自相似核构造了一个积分方程,该积分方程的解控制了原问题的等价积分方程的解,最后通过证明构造的积分方程的解有界,从而得到等价积分方程的解有界,因此,当m≥2且初值u0(x)满足u0(x)≤α/(1+x2m/(p-1))时,该问题有整体强解。另外在条件lim|x|→∞ inf│x│2m/(p-1)u0(x)0下,利用弱解的定义和试验函数的紧支性证明了该问题的弱解的负部相对于正部是不能忽略的。