不可解方程

The flow of incompressible viscous fluid is controlled by Navier-Stokes Equations.The qualititave analysis of the solutions of the equation is important to the studies of bifurcation problems and numerical solutions of the equations.

对于描述不可压缩粘性流体流动的Navier-Stokes方程，其解的定性分析结果对于该方程的数值求解及其分歧问题的研究都是十分重要的。

Using the Mindlin theory, the four-node finite element shell modal of healthy and damaged structure is formed; Using Green Function theory, the fluid around the structure is considered to be inviscid, irrotational and incompressible, and then the effect of fluid to structure is translated to the added mass matrix compared with global mass matrix using BEM.

基于Mindlin理论，本文建立了描述健康和损伤的四结点有限元板壳单元模型；基于Green函数理论，将结构所处的流体环境考虑为无粘、无旋、不可压缩的理想流体，推导了三维问题拉普拉斯方程的基本解，并利用边界元方法将流体对结构的影响归结为对结构整体质量矩阵的影响；针对各向同性损伤单元，采取刚度各向整体弱化的方法分析；对于各向异性损伤单元，采用Kachanov理论，引入了x和y两个方向的弹性损伤折减系数。

A fourth-order compact finite difference alternating-direction-implicit algorithm is proposed for solving the unsteady-state Navier-Stokes equations of fluid flow and heat transfer using the streamfunction-vorticity formulation. Point-successive overtaxation iteration is used to achieve the steady solutions.

本文构造了求解二维非定常涡量流函数形式Navier-Stokes方程组的一种四阶紧致交错方向隐式差分算法，对包括能量方程在内的离散化方程组采用逐次超松驰迭代法求得稳定解，求解了二维非定常粘性不可压缩流体的流动与传热问题。

The second part is devided into two chapters, it\'s main aim is to study the global solutions to 1-d compressible Navier-Stokes equations, and it is organized as follows:In Chapter 2, we introduce the second boundary value problem for the compressible Navier-Stokes equations in the half space.

第二部分分为二章，主要讨论一维可压Navier-Stokes方程整体解的存在性，其中：第二章讨论了不可渗透问题(流体的速度在边界上为0情形)，其中对温度给出了第二边值条件。

By using a similarity transformation, the Navier-Stobes equations in the cylindrical co-ordinates for the steady incompressible flow are reduced to an ordinary non-linear differential equation of the third order.

利用相似转换，将不可压缩流体，定常运动，柱坐标形式的纳非尔-斯托克司方程组简化为一三次非线性常微分方程，运用小参数法及适当边界条件求出此方程的解，结果表明，吸吮或吹注对流动的速度分布，沿流程压力下降和摩擦系数均有显著影响，其影响的大小，依赖于吸吮或吹注的性质，程度及二圆管的相对尺度。

The remnants of ellipticity in the parabolized stability equations for three dimensional parallel incompressible boundary layer flow are studied, detail methods for removing the ellipticity are suggested, and the consistence of solutions between the parabolized stability equations and the fully elliptic problem is provoed.

针对三维平行不可压边界层流动的抛物化稳定性方程，研究其剩余的椭圆特性，提出了消除该特性的具体方法，并对抛物化稳定性方程解与全椭圆问题解的一致性进行了证明。

In Chapter 4, problems of cavitated bifurcation for two spheres, which are composed of two different kinds of imperfect compressible hyper-elastic materials, were examined, respectively.

以一类具有缺陷的不可压超弹性材料组成的球体为例，研究了材料缺陷对空穴运动方程的非平凡解的存在性及其定性性质的影响。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。