瑞利-泰勒不稳定性线性增长的密度梯度致稳

研究了密度梯度对瑞利-泰勒不稳定性的致稳作用,采用有限元算法求解钱得拉塞卡方程本征值问题,得到不同密度分布下理想不可压流体力学量的扰动线性增长率及扰动速度分布。扰动增长率结果与修正的Lindl公式的计算结果比较发现：扰动分布的峰值位于密度梯度标长的取值位置处,波长与密度标长可比拟时,扰动增长率显著偏离Lindl公式,而长波和短波极限情况下,数值解和Lindl公式符合较好。     

How Well Do We Handle the Sample Preparation,FT-ICR Mass Spectrometry Analysis,and Data Treatment of Atmospheric Waters?

FT-ICR MS (Fourier-transform ion cyclotron resonance mass spectrometry) analysis has shown great potential to aid in the understanding of the extremely high molecular diversity of cloud water samples. The main goal of this work was to determine the differences in terms of formula assignment for analytical (i.e., measurement replicates) and experimental replicates of a given cloud water sample. The experimental replicates, obtained by solid phase extraction, were also compared to the results obtained for freeze-dried samples to evaluate whether the presence of salts interferes with the analysis. Two S/N ratios, generally adopted for atmospheric samples, were evaluated, and three different algorithms were used for assignment: DataAnalysis 5.3 (Bruker), Composer (Sierra Analytics), and MFAssignR (Chemical Advanced Resolution Methods Lab). In contrast to other works, we wanted to treat this comparison from the point of view of users, who usually must deal with a simple list of m/z ratios and intensity with limited access to the mass spectrum characteristics. The aim of this study was to establish a methodology for the treatment of atmospheric aqueous samples in light of the comparison of three different software programs, to enhance the possibility of data comparison within samples.     

主应力的计算公式

在前人工作的基础上,运用一元三次方程的理论直接求解应力状态的特征方程,得到了实用的主应力计算公式.     

相对论返波管注入锁相的数值模拟

给出了一种基于梯形慢波结构的相对论返波管结构,并采用2.5维全电磁PIC粒子模拟软件对其前端注入锁相进行了模拟研究。注入功率从二极管区注入相对论返波管中,注入功率50 kW,注入比－48.3 dB时,返波管输出的相位抖动在20范围内,并拟合了返波管相位抖动与注入功率之间关系,给出了判断返波管相位抖动大小的经验公式。注入功率提高至120 MW,注入比－14.5 dB时,注入信号对相对论返波管输出的频率实现了牵引。     

BP神经网络电子束扫描均匀度校正系统

电子束的扫描均匀度是工业辐照电子直线加速器的重要技术指标,该校正系统利用人工神经网络中的误差反向传播法可以对扫描电流波形进行校正,以克服扫描磁场引起的电子束形状变化、位置改变等造成的电子束分布的不均匀性,从而使扫描曲线的归一化均方偏差达到1.8%。     

多项式的特征和与二项指数和的混合均值

本文主要利用解析方法以及二项指数和与Dirichlet特征的性质,研究多项式的特征和与二项三次指数和的混合均值的计算问题,并得到一个较强的渐近公式.     

Densities of One-Dimensional Backward SDEs

This work is devoted to the study of the existence and smoothness of the marginal densities of the solution of one-dimensional backward stochastic differential equations. Under monotonicity conditions of a function of the coefficients, we obtain that the smoothness properties of the forward process influencing the backward equation, transfer to the densities of the solution. Once established these conditions, we apply the result to study the tail behavior of the solution process. Mathematics Subject Classification (2000) 60H10.Fabio Antonelli: The first author was partially supported by the MIUR COFIN grant 2000.Arturo Kohatsu-Higa: The second author was partially supported by grants BFM2003-03324 and BFM 2003-04294. The authors wish to thank the referee for his/her comments.     

非线性双曲型守恒律的高精度MmB差分格式

构造了一维非线性双曲型守恒律方程的一个高精度、高分辨率的广义G odunov型差分格式。其构造思想是:首先将计算区间划分为若干个互不相交的小区间,再根据精度要求等分小区间,通过各细小区间上的单元平均状态变量,重构各等分小区间交界面上的状态变量,并加以校正;其次,利用近似R iem ann解算子求解细小区间交界面上的数值通量,并结合高阶R unge-K u tta TVD方法进行时间离散,得到了高精度的全离散方法。证明了该格式的Mm B特性。然后,将格式推广到一、二维双曲型守恒方程组情形。最后给出了一、二维Eu ler方程组的几个典型的数值算例,验证了格式的高效性。     

一类基于通量分裂的二阶精度TVD差分格式

基于通量分裂和逆风特性,选取单元交界面上的正、负数值通量,并结合高阶Runge-Kutta TVD时间离散方法,构造了一维非线性双曲型守恒律的一类二阶精度的差分格式,证明了差分格式的TVD特性。按分量形式推广到方程组。通过几个典型的数值算例验证了格式的有效性。