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1.A new class of Hubbard-type models with open boundary conditions in one dimension is studied in the frame- work of coordinate Bethe ansatz method. The energy spectrum,integrable boundary conditions and the corresponding Bethe ansatz equations are derived.
用坐标Bethe ansatz方法详细研究了开边界条件下一类新Hubbard模型的可积性问题.得到了系统的能谱、可积边界条件和Bethe ansatz方程.收藏指正
2.Structure and properties of the fractal basin boundary of a two-dimension cubic map is investigated. The of the basin boundary are also studied by using perturbation analysis. The Lyapunov exponent are calculated, and compared with the result of numerical computation.
本文研究了一个二维立方映象的分形流域边界的结构和性质,利用函数分析法研究了流域边界的解析性质,计算了Lyapunov指数并与数值计算结果进行了比较。收藏指正
3.The Initial Boundary Value Problem for Navier-Stokes Equations in Three Dimension Domains
三维区域中的Navier-Stokes方程的初边值问题收藏指正
4.The Elliptic Dimension of a Bordered Riemann Surface with Null Ideal Boundary
零理想边界的镶边Riemann曲面的椭圆维数收藏指正
5.THE EXISTING UNIQUENESS OF ONE-DIMENSION HEAT CONDUCTION EQUATION SOLUTION UNDER THE INPUT OF NONLINEAR BOUNDARY
非线性边界输入下-维热传导方程解的存在唯一性收藏指正
6.In this paper,we establish the Einstein relation for the reflecting diffusion on a compact domain of a Riemanian manifold with boundary and give the explicit form for a kind of stochastic differential equation with local time in the case of dimension one.
本文中建立了Riemann流形的紧区域上反射扩散过程的Einstein关系,并对具有斜反射的一维随机微分方程给出了这种关系的显式.收藏指正
7.In this paper we discuss some interesting and strange boundary characteris- tics of a category of Dirichlet series. By theorem 1 and theorem 2 , it is demonstrated that the boundary curve of such series can cover a certain round plate , and by theroem 3 we conclude that the curve above is a Fractal curve with 1 as its topological dimension , and with 3 as its entropic dimension.
本文讨论一类Dirichlet级数的一些有趣而又奇怪的边界性质,文中定理1,2指明这种级数的边界曲线能覆盖某个圆盘,定理3指出它是拓扑维数是1,熵维数是3的Fractal曲线。收藏指正
8.It builds a physical model according to hoisting capacity, lifting angle and structural stabiliy, theory, solves the problem of function relationships among lifting capacity, lifting angle, boom weight, boom dimension and deduces the natural boundary condition of design parameters, providing a new way to determine crane design parameters.
摘要将起重量和起吊幅度为基本设计依据,以压杆稳定理论为分析基础,结合专业知识,建立物理模型,解决了起重量、起吊幅度与吊臂质量、吊臂主要参数之间的函数关系的难题,首次确定出设计参数的自然边界条件,为起重机设计者提供了确定设计参数的新方法和科学依据,具有开创意义。收藏指正
9.In this paper, we investigate the initial value and the boundary value problem of nonlinear partial differential equations in the Eulerian coordinatesWhere u is the velocity, ρ is the density, θ(> 0) is the absolute temperature, u , ρ and θ(>0) is depended on time variable t and one-dimension variable x. μ(>0) is the viscosity constant, κ(>0) is the coefficient of heat conduction.
本论文主要研究如下在Eulerian坐标系中,描述一维可压缩流体流动的非线性偏微分方程的初边值问题其中u为流体流动的速度,ρ为流体的密度,θ(>0)为绝对温度,u,ρ,θ均为关于时间t和一维变量x的函数,μ(>0)和κ(>0)分别为流体的黏性系数和热传导系数。收藏指正
10.On the illustration of mining in deeply inclined coal seam under buildings in Muchengjian Colliery in Beijing, the confirmation method of coal pillar dimension and the united layout of pseudo-dip strip pillar and boundary pillar were put forward to provide theory foundation for the control of surface movement and subsidence in the mining of deeply inclined coal seam.
摘要以北京木城涧煤矿大台井建筑物下压煤开采为例,提出了急倾斜煤层开采条件下条带煤柱尺寸的确定方法和倾斜条带煤柱与边界煤柱相结合的条带布置方案,为急倾斜煤层开采地表沉陷控制提供了理论依据。收藏指正
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