查询词典 first boundary condition

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in Cartesian coordinate system.

由于光子晶体也属于一种周期结构，在分析其带隙结构时，可以借鉴前面的算法。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

The first order absorption boundary condition is applied to the outside boundary, which can avoid the error caused by the plane wave assumption.

在外边界上统一应用适合于人工源的一阶吸收边界条件来形成边值问题，可减小基于平面波假设造成的人为截断边界的影响。

First, under the given boundary condition and reasonable simplified condition, this paper develops radiation transmitting equations in atmosphere applied in infrared waveband and visual light waveband from common equation of radiation transmitting.

本文采用了2002年1月、2月、7月、8月每日8时至16时的GMS-5卫星云图资料以及相同时次的漠河和郑州两个辐射站的地面净辐射资料。

Studied present measuring methods" advantages and disadvantages, and presented the necessity and importance of researching propellant transient heat transfer.2.according to 130 and aeronautic 90 rocket projectiles" structure, analysed and acquired physical and mathematical models for propellant transient heat transfer, also designed propellant temperature field simulation units for test.3.acquired discrete transient heat balance equation and temperature calculation program, and gave contrasting curves between experimental temperature values and program calculating temperature values as well as maximum errors and average square root errors between them.4.by programs based on the first class boundary condition, worked out temperature distribution in propellant temperature field simulation units at different time, analysed temperature field distribution law and main elements affecting heat transfer, acquired propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.5.established transient heat transfer mathematical model and temperature calculation program for the third class boundary condition, drew contrasting curves between temperature experimental values and calculation values and gave maximum errors and average square root errors between them, got temperature distribution in the simulation unit at different time and main elements affecting heat conduction, figured out propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.

分析了现有测试方法的优缺点，提出了研究推进剂瞬态导热的必要性和重要性。 2。根据130和航90两种火箭弹的结构，分析得到了推进剂传热的物理模型和数学模型，设计了推进剂温度场模拟实验装置。 3。得到了离散形式的瞬态热平衡方程和温度场计算程序，给出了实验温度与程序计算温度值的对比曲线及其最大偏差与均方差。 4。利用程序求出了第一类边界条件下、不同时刻推进剂温度场模拟装置中的温度分布，分析了温度场的分布规律和影响传热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处的温度时间曲线并给出了两者之间的最大偏差与均方差。 5。建立了第三类边界条件下的瞬态导热数学模型和温度计算程序，求出了温度实测值与计算值的对比曲线并给出了两者之间的最大偏差与均方差，得到了不同时刻温度场模拟装置的温度分布与影响导热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处温度及两者之间的最大偏差与均方差，讨论并确定了能代表130和航90推进剂温度的特征点的位置。

With the help of the fundamental theory to singular measure differential system, Green's function matrix expression of solution and well-posed boundary condition are given, together with discussing the properties of the Green's function matrix under the influence of impulsive effect In section 5, based on Lyapunov function method, we investigate that the existence of the first boundary value problem to second-order singular system by macthing the solutions to the second boundary value problem; and the existence and uniqueness of three-point boundary value problem to third order singular system by macthing the solutions to two-piont boundary value problem.

第五部分借助Lyapunov函数法，通过将第二类边值问题的解对结成第一类边值问题的解，得到了二阶广义系统的第一类边值问题解的存在性；通过将两点边值问题的解对结成三点边值问题的解，得到了三阶广义系统的三点边值问题解的存在性和唯一性。

First, response model in time domain of pile under the transient state of stimulated vibration is reduced according to damping wave equation, initial condition and boundary condition.

首先，从桩-土系统共同作用的阻尼波动方程入手，结合初始条件、边界条件，推导了完整桩瞬态激振下的时域响应模型。

In this paper, first, the unified form of W is presented on the condition of linear unhomogeneous boundary condition under stable condition.

从稳定条件下的线性非齐次边界条件出发，给出了w的统一形式，进而将其推广到非稳定条件下的非齐次边界条件，得到w的一般的结果。

Phase-lagged cyclic boundary condition is implemented by a novel method in conjunction with the developed sliding interface technique to accurately simulate the arbitrary pitch ratio rotor/stator interaction without any modifications of the physics of the problem. It's for the first time to compose the computational area into one structured grids including both rotor/stator of centrifugal or axial turbomachinery with arbitrary pitch ratio. This method can eliminate the iteration of boundary conditions on the sliding interface and calculate the unsteady flow within rotor and stator simultaneously.

为了能够在较小的计算区域内不改变叶型而真实地反映出任意栅距比时的内部非定常流场，并避免近似仍采用相位后滞周期性条件，结合本文发展的网格技术，给出了一种新的实施方法，首次将动、静叶片数不等的离心式/轴流式叶轮机械转子、静子计算区域组合在一套结构化计算网格中，动/静叶排间的滑移界面完全按内场处理，避免了每一时层内，滑移界面处边界条件的迭代计算；并保证了每一时层，滑移界面处流动参数的守恒特性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。