连续性方程

Continuity equation and motion equation which can be applied to cone-shaped pipes are obtained and finite difference method for them is brought forward.

根据非稳定流的一维流动理论，对圆锥形管道中的瞬变流动进行了分析，推导出了适用于圆锥形管道的连续性微分方程和运动微分方程，给出了这两个方程的有限差分解法，同时对计算结果进行了相对误差的对比分析。

Here the deriver' self-equilibrium velocity denotes the deriver' desired equilibrium velocity accompanying that the traffic flow is in the equilibrium state. Consequently the adaptive flux model like Navier-stokes traffic equation is derived from the extended Paveri-Fontana equation. Characteristics and the linear stability are analyzed. Numerical solution of the macroscopic traffic equations verifies rationality of our model.

把适应性公式和约化Paveri-Fontana等式结合得到扩展的Paveri-Fontana方程，通过使用Chapman – Enskog方法导出类Naveri-Stokes 方程的适应性交通流模型；通过线性稳定性分析，得到了适应性交通流模型的稳定条件；通过对算例的数值分析与其它连续性模型和交通实测数据的对比，验证了我们模型的合理性。

Firstly, based on the wave equation, determining reasonably its initial boundary condition, the paper establishes a computer diagnostic model of oil pumping mechanical well, the damping factor in the model has been reasonably determined, the implicit difference solutionis conducted to the model by changing of step width expression difference solves, and the half analytical solution is explored to the model - fine integral method; and realizes the transformation from dot indicator diagram to indicator diagram of any section.

首先从抽油机井计算机诊断技术的理论基础入手，考虑多级抽油杆连续性，建立了粘滞阻尼波动方程，合理确定模型中的阻尼系数，采用无条件稳定的隐式差分法及半解析方法求解方程，获得抽油杆柱任意断面和抽油泵处的示功图。

Comparing with the equation of common machine tools, this equation has three characteristics: It includes the variable frequency driver's energy loss;The variable frequency driver's no-sine voltage wave causes mechanical pulse losses in mechanical driving system;Equivalent palstance of main driving system is of uniform continuity.

该方程相对于普通机床功率平衡方程，具有变频器自身存在较大的能量损耗、变频器输出的非正弦波形电压带来的电气谐波损耗和机械传动系统的机械脉动损耗、主传动系统当量角速度具有一致连续性等三个重要特点。

The domain derivative of the Navier-Stokes equations is given in the same manner as the Stokes equatons' domain derivative by reducing to homogeneous equations and proving continuous character and existence of Frechet derivative .

同样利用对非齐次方程的齐次化、证明目标函数对区域的连续性和其导数的存在性，同时给出了定常Navier-Stokes方程的区域导数完整的理论证明。

A new graph theory methodology is presented for analysis of the unsteady flows in open channel network, including the structure and characteristics of the incidence matrix A, continuity equation and energy equation with matrix A.

提出了新的渠网非恒定流图论原理，包括适应渠网非恒定流特征的节支关联矩阵A的构建方法及性质分析，基于A的节点连续性矩阵方程和节点水深矩阵方程等。

To derive the continuity of solution for stochastic Volterra equation, the Kolmogorov continuity criterion will play a key role.

2为了在随机环境下得到Volterra型方程的连续性，Kolmogorov连续性准则将起到非常关键的作用。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

Our conclusion is : For general transport equation and some special transport equations (slab geometry, spherical symmetry, pillar symmetry) we can evaluate some relevant physical quantities and geometrical properties from the exiting photon flux. The method we will use is to transform the transport equation into integral equation by integrating it along its characteristics, then we prove the nonlinear operator K is monotone and continuous with respect to its arguments and obtain the existence of K~-1. Consequently, we can evaluate some relevant physical quantities and geometrical property of the medium.

我们得到的结论是：无论对于一般的迁移方程，还是当介质具有某种对称性时(板对称、球对称、柱对称)的迁移方程，我们都可以根据泄漏的光子流估计介质各种相关物理量和几何特性，所用方法都是将迁移方程通过沿特征线积分转化为积分方程的形式，然后证明非线性算子K关于自变量的单调性和连续性，从而得到逆算子K~(-1)存在，进而达到估计介质各种相关物理量和几何特性的目的。

Our approach to energy subbands in the active region of QCL is k · p method. Electron eigenvalues and eigenstates are calculated by solving Schrodinger and Poisson equations self-consistently.

k·p微扰方法下，利用有限差分法求解了化合物半导体的有效质量方程，在计算中考虑了超晶格界面处电子有效质量不连续性，自洽求解了掺杂有源区在不同外加电场下的薛定谔方程和泊松方程。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。