波

Compared with the initial value problems of scalar conservation laws with smooth flux function, the global weak entropy solutions for the initial-boundary value problems of scalar conservation laws with weak discontinuous flux function include the following new interaction types: a rarefaction wave collides with the boundary and is absorbed compltetely or partially by the boundary; a rarefaction wave collides with the boundary and the boundary will reflect a contact or non-contact shock wave; a contact or non-contact shock wave collides with the boundary and is absorbed by the boundary; a contact or non-contact shock wave collides with the boundary and a new non-contact shock will rebound from the boundary simultaneously or later.

与具有光滑流函数的单个守恒律的初始值问题相比，具有弱间断流函数的单个守恒律初边值问题的整体弱熵解中包括下列新的相互作用类型：稀疏波碰到边界并被边界部分或全部吸收；稀疏波与边界相撞，边界反射出一个接触或非接触激波；接触或非接触激波碰到边界并被边界吸收；接触或非接触激波与边界相撞，边界同时或稍后反射出一个新的非接触激波。

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

For a heterogeneous elastic solid consisting of two homogeneous layers, three homogeneous layers whose shear wave velocities increasing with depth, or three homogeneous layers whose interlayer has high velocity, if there are multi-mode dispersion curves, the phase velocity V〓 of the first mode will close up to the Rayleigh wave velocity of the bottom layer when frequency f→OHz, and V〓 of the first mode will close up to the Rayleigh wave velocity of the top layer when f→∞.

由多导波模式的相速度频散曲线还可知，对于二层固体介质、结构层的横波速度随深度而递增的三层固体介质、含硬夹层的三层固体介质而言，若频率f→OHz，其基阶模式的瑞利波相速度V〓→V〓（V〓为最底层介质的瑞利波速度）；若f→∞，其基阶模式的V〓→V〓（V〓为最上层介质的瑞利波速度）；因此，随着频率f逐渐升高，野外实测的瑞利波相速度V〓曲线应该主要为基阶导波模式。

Competition among four-wave mixing with two dressing fields, the six-wave mixing with one dressing field as well as the eight-wave mixing propagating along the same direction can be evoked by adjusting laser beams because these multi-wave mixing signals are induced by atomic coherence between common levels.

研究发现，通过调节激光束方向，沿同一方向出射的八波混频、双缀饰四波混频和单缀饰六波混频信号因共用能级的原子相干产生而出现竞争现象，通过控制缀饰场减弱四波混频和六波混频信号强度，可以达到增强八波混频信号的目的。

Chapter 2 establishes a helicoid model of the 3D curved shock surface, which is a fundamental means for investigating the sweep of the 3D shock surface In chapter 3, the first step is to make definitions and detail concepts about various viewpoints of shock surface sweep. Secondly, those sweep angles of the 3D shock are calculated. After that, with the aid of the helicoid model, two general structure similarity variables are derived which are independent of any model, and their importance in shock structure investigations is discussed.

第三章首先给出激波曲面掠的各种基本概念，计算相应掠角；又借助螺面模型得到一般性的掠相似参数，并分析了它在激波结构研究中的意义，设想了激波气动掠参数的测量方法；第四章依据螺面模型探讨了前缘曲线掠与前缘激波曲面掠的关系，可能存在的均匀激波曲面、简单非均匀激波曲面和它们的运动学设计方法，其中得到一些很有用的概念。

The physical characteristics of various hyperbolic waves in Eular system are analysed. The shock physical characteristics and the conditions of forming the shocklet are discussed, detailedly. We are clear about the mechanism of shocklet excited by continuous waves.The physical mechanism of TS waves and the relation between shocklets and TS waves are studed in a systematic way.

从理论上分析了Eular系统中各种双曲波的物理性质，详细讨论了激波的物理特性和与产生激波的条件，明确了通过连续波动诱发激波物理机理，系统研究了TS波的在可压与不可压流动中的物理特性以及与激波的联系，分析了粘性对激波形成的影响。4。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The caculation results of Pubugou high rockfill dam under the action of design earthquake travclling wave show: in few cases, the seismic response under travelling wave input is less than that under routine input; but in many cases, the former surpasses the latter, and the rate of increase of few components has doubled and redoubled; the strengthened areas of seismic response under the action of travclling wave are in the direction which travelling wave has gone; compared with acceleration and displacement, dynamic stress is even more sensitive to travelling wave input; compared with the direction along river, the effects of travelling wave in the direction cross river are even more intense.

结合瀑布沟高土石坝在设计地震行波输入下的研究表明，行波反应少数情况下弱于常规反应，而大多数情况下则有所增强，个别指标甚至有成倍的增加；行波反应强化区均出现在去波向；与加速度和位移相比，动应力反应对行波输入更为敏感；与坝体顺河向行波效应相比，横河向则更加强化。

Finally, seismic Rayleigh wave velocity inversion for P-SV wave S-statics isstudied, which is mainly including the flowing contents: the separation of Rayleighwave signals from seismic data, the pickup of Rayleigh dispersion curves, seismicRayleigh wave velocity inversion, and the principle and the processing flow ofresolving P-SV wave S-statics.

最后研究了地震瑞雷面波速度反演求取P-SV波横波静校正量，包括地震瑞雷波信号分离方法、地震瑞雷波频散曲线拾取方法、地震瑞雷波速度反演以及P-SV波横波静校正量求取方法和处理流程。

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。