Multiplicity and stability of standing waves for the nonlinear Schrödinger‐Poisson equation with a harmonic potential

In this paper, we study the multiplicity, stability, and quantitative properties of normalized standing waves for the nonlinear Schrödinger‐Poisson equation with a harmonic potential.     

Multiplicity and Stability of Equilibrium States of Three-Dimensional Nonlinear System

The multiplicity and stability of the equilibrium states of a three-dimensional differential system with initial conditions and three cross terms are studied in this paper. The existence and multiplicity of equilibrium states are given under the different qualifications of parameters. Besides, the local stability of the equilibrium state is shown by analyzing the eigenfunction of the Jacobi matrix. The global stability of the equilibrium state is obtained by constructing the Lyapunov function. Furthermore, the numerical simulation intuitively reflected the relationship of variables and verified the correctness of theoretical analysis.     

利用表面波测量液体的表面张力系数

本文利用表面张力在液面上产生毛细波的现象，设计了一种原理上的比较新颖，操作上简单，相对误差为０．２％，可与公认的毛细上升法相比的测量方法。     

Improved Lower Bounds for the Critical Probability of Oriented Bond Percolation in Two Dimensions

We present a coupled decreasing sequence of random walks on Z that dominate the edge process of oriented bond percolation in two dimensions. Using the concept of random walk in a strip, we describe an algorithm that generates an increasing sequence of lower bounds that converges to the critical probability of oriented percolation p_c. From the 7th term on, these lower bounds improve upon 0.6298, the best rigorous lower bound at present, establishing 0.63328 as a rigorous lower bound for p_c. Finally, a Monte Carlo simulation technique is presented; the use thereof establishes 0.64450 as a non-rigorous five-digit-precision (lower) estimate for p_c. Mathematics Subject Classification (1991): 60K35 Supported by CNPq (grant N.301637/91-1). Supported by a grant from CNPq.     

Geometric Arrangement with Multiplicity of Laser Beams in Target Area

ＧｅｏｍｅｔｒｉｃＡｒａｎｇｅｍｅｎｔｗｉｔｈＭｕｌｔｉｐｌｉｃｉｔｙｏｆＬａｓｅｒＢｅａｍｓｉｎＴａｒｇｅｔＡｒｅａＴＡＮＪｉｃｈｕｎＷＥＩＸｉａｏｆｅｎｇ１）ＣＨＥＮＧＺｈｅＹＵＡＮＸｉａｏｄｏｎｇ１）ＬＩＵＬｉｒｏｎｇＳＨＩＺｈｉｑｕａｎ（Ｄｅ...     

扁平绕带式低温高压容器绝热性能分析和计算

扁平绕带式低温高压容器是一种新型低温液体贮存设备 ,由内外两层容器组成 ,内筒体的外壁焊有液氮预冷夹套。平均蒸发率是衡量扁平绕带式低温高压容器绝热性能的重要指标。文中在分析其传热过程和壁厚温差影响因素的基础上 ,提出了一种计算其蒸发率的工程方法 ,并结合1 0 m3液氢储罐设计实例进行了计算。结果表明扁平绕带式低温高压容器具有良好的绝热性能 ,适用于重要介质的低温贮运     

非齐性曲率方程自相似解的非唯一性

本文在Liapunov-Schimildt约简框架计算一些误差估计，并把相应问题转化成二维问题，从而证明了对非齐性曲率流。     

400GeV/c pp碰撞赝快度空间带电粒子数密度的研究

利用CERNNA27合作组提供的LEBC泡室照片,测量了400GeV/cpp碰撞产生的带电粒子多重数为4—24的赝快度分布.观察到在选择的赝快度窗口(Δη=0.5和0.1)内平均最大带电粒子数密度随带电粒子多重数线性增加的规律.最大带电粒子数密度的几率分布在n大时有加宽和变平坦的趋势.没有观察到最大粒子数密度反常高的事例.     

Spectral multiplicity of some stochastic processes

In this paper we consider the connection between the canonical and the weak-canonical representations for the given second-order stochastic process in a separable Hilbert space and we extend a well-known theorem of H. Cramer concerning sufficient conditions for a process to be of multiplicity one.

     

夸克－胶子等离子体对高能碰撞多重产生的可能描述

以ＱＣＤ袋模型和统计流体力学模型为基础，在二维平衡态近似下得到多重数和质心系能量的关系式，和高能　碰撞非单衍过程产生的多重数实验数据吻合得很好；在三维平衡态近似下得到中心在快度较大区域的产生粒子的源Ⅱ的大小和横动量的关系，关系式和三火球模型计算结果符合．