波动方程

Thus it is shown there may be dissipative compressional wave and shead wave in viscous compressible fluid.

本文在小扰动条件下，从粘性可压缩流体的运动方程、状态方程以及连续性方程导出了它的波动方程，从而表明粘性可压缩流体中能够存在有耗损的纵波与横波。

This paper proposes an equivalent second order elastic wave equation to solve the problem of being unable to completely separate the coupled P and S wave by full elastic wave equation.

给出了一种等价的二阶弹性波动方程，以解决弹性波场中完全弹性波动方程不能完全分离耦合的纵、横波波场问题。

These modes are calculated in the paper by wave equation, finite element equation and model established, and computer procedure.

本文通过推导的压力波动方程、建立的有限元方程与计算模型、编制的计算机软件，计算出燃烧压力波动的多阶模态及各模态下的压力分布。

According to the boundary conditions, inhomogeneous wave equation of point source before the media changing abruptly and the homogeneous wave equation after the media changing abruptly were constructed.

根据相应的边界条件，建立了球空间时变媒质点源激励的非齐次波动方程及媒质突变后的齐次波动方程。

The theory of high-strain dynamic testing of pile bearing capacity. The basic calculation expression of pile high-strain dynamic testing is rederived in a simple way, especially the semi-empirical analytical expression of wave equation . Besides, theoretically it has been proved that it's not necessary to have identic section hypotaxis along pile, and the application condition and reasonable operation have been pointed out. the CASE comprehensive method is suggested to replace the traditional CASE method. author has made a lot of improvement for the mathematical model of the matching analysis measured curves in the business software CCWAPC and scientific research software JXWAPC of which the author is in charge.

关于高应变动力试桩法的理论研究以简明方式重新推导了高应变动力试桩法基本计算表达式，尤其波动方程半经验解析表达式，同时从理论上证明了CASE法并不需要桩身等截面假设，亦指出了该方法的适用条件及合理使用办法，并建议利用CASE综合分析法取代传统的CASE分析法；作者在其负责编制的商业软件CCWAPC及科研软件JXWAPC中，对波动方程拟合分析法数理模型进行了一系列重大改进，考虑了灌注桩桩周土体的变形特性和动荷截作用下的非线性效应、大直径桩的横向惯性效应。

While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of Lagrange submanifold in the symplectic space.

本论文的工作作为国家自然科学基金地震波传播与成像项目（NO.40174032）的一部分，得到如下结果：论文分析了利用Maslov方法求解非均匀介质中波动方程高频近似解的基本原理和求解过程，构造了介质系数只在一个方向变化时波动方程高频近似解的通用计算公式。

In the last two sections of this chapter,we give two applications of the new Z_p geometrical index theory to the existence of periodic solutions and subharmonic solutions for a class of wave equations with deviating arguments.

在本章中，我们还给出广义Z_p几何指标理论在含有偏差变元的波动方程中的应用，得到周期解与次调和解存在(来源：12e2ABe9C论文网www.abclunwen.com)性的两个结果，即使对正常变元的波动方程，这些结果也是新的。

Firstly, from the equation of wave transmit in media, come out theanswer of one dimension wave equation.

首先从波在媒质中传播的波动方程出发，给出一维波动方程的解。

The caustics phenomena of electromagnetic wave propagation in concave reflector, the singularities of caustics, and the method of

40174032的一部分，得到如下结果：论文分析了利用Maslov方法求解非均匀介质中波动方程高频近似解的基本原理和求解过程，构造了介质系数只在一个方向变化时波动方程高频近似解的通用计算公式。

Many methods have been developed in evaluating the QNMs, such as evolving the time dependent wave equation method, integration of the time independent wave equation method, semi-classical method and fraction function method.

许多方法被用来研究黑洞的似正规模：波动方程的时间数值演化方法；波动方程的时间积分方法；半经典近似方法；连分数方法。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。