对于自共振激光加速器中轴向场问题的讨论

从洛仑兹力方程的旋量形式出发，讨论了电磁场中电荷运动的轴向电场和轴向磁场问题以及平面波的脉冲和Larmor功率。这些问题是研究自共振激光加速器的基础。From the spinorial form of the Lorentz force equation, the problems about axial electric field and axial magnetic field of charge motion in electromagnetic fields, as well as plane wave pulse and Larmor power have been discussed in this paper. These problems are the foundation of studying the autoresonance laser accelerator (ALA).     

（K1（x），K2（x））-有限伸张映射

该文首先给出(K1(x),K2(x))一有限伸张映射的定义,然后研究其自我提高的可积性性质.最后利用Caccioppoli型不等式得到可去奇异性结果.     

New Exact Solutions of the N-Coupled Nonlinear Schroedinger System

In this letter, abundant families of Jacobi elliptic function envelope solutions of the N-coupled nonlinear Schroedinger （NLS） system are obtained directly. When the modulus m → 1, those periodic solutions degenerate as the corresponding envelope soliton solutions, envelope shock wave solutions. Especially, for the 3-coupled NLS system, five types of Jacobi elliptic function envelope solutions are illustrated both analytically and graphically. Two types of those degenerate as envelope soliton solutions.     

宇宙常数的Bulk流形的起源

关于宇宙常数问题是个至今没有解决的问题, 它的来源至今还没有一个共识. 从额外维的流形出发, 给出了宇宙常数的,bulk,流形起源的理论, 得到了不同情况下宇宙常数的取值和宇宙常数随时间演化的函数, 并且得到了可拟合现代天文观测的宇宙常数.     

两同心球间旋转流动类Lorenz方程组的静态分歧

对同心球间旋转流动的N av ier-S tokes方程谱展开后进行三模态截断,讨论了所得到的类Lorenz型方程组的分歧问题.给出了静态奇异点的条件,并计算出解分支.首先,简要介绍了Lorenz方程组以及用Lorenz截断法讨论非线性问题的意义,其次,推导同心球间旋转流动N av ier-S tokes方程的流函数-涡度形式,最后,讨论同心球间旋转流动的类Lorenz型方程组的分歧问题.     

梁受正弦分布压力作用的解析解

对梁受正弦分布压力作用的情况，本文以矩形截面简支梁为例，通过构造满足所有边界条件和双调和方程的应力函数给出了相应的解析解，这为求解梁受任意分布压力作用的解的问题打下了基础。     

群柱内酯萜二维核磁共振谱的研究

本文研究了群柱内酯萜(Ⅰ)的二维¹H同核COSY、C-H COSY、远距C-H COSY谱,根据这些信息和经验规律归属了(Ⅰ)的¹H及¹³C谱峰,二维远距C-H COSY提供了相隔两、三个键的C-H偶合信息,因此,在很多方面可以代替灵敏度很低的INADEQUATE技术,得到C-C联结的信息。     

关于Schrdinger方程在Lipschitz区域上的边界值问题

设V是非负奇异位势属于逆Hoder函数族B2n,λ是任意实数，本文研究Lipschitz区域D上的Schrodinger方程的Lp边界值Dirichlet问题和Neumann问题，建立了解的存在唯一性并得到解的一致正别性估计．     

利用兰彻斯特方程估算飞机战损率

本文利用模糊条件下的兰彻斯特方程 ,得到了一种估算飞机战损率的算法 .     

Optimal Control Problem Governed by Semilinear Parabolic Equation and its Algorithm

In this paper, an optimal control problem governed by semilinear parabolic equation which involves the control variable acting on forcing term and coefficients appearing in the higher order derivative terms is formulated and analyzed. The strong variation method, due originally to Mayne et al to solve the optimal control problem of a lumped parameter system, is extended to solve an optimal control problem governed by semilinear parabolic equation, a necessary condition is obtained, the strong variation algorithm for this optimal control problem is presented, and the corresponding convergence result of the algorithm is verified.