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Finally, we study the continuous reliant relation of solutions and initial-boundary condition , give the stability analysis by studying the limit relation of solutions of several initial-boundary value problems.

最后，研究了解对初边界条件的连续的依赖关系，具体通过研究迎头法与宽脉冲、迎头法与渐变迎头法、宽脉冲与δ脉冲、宽脉冲与渐变宽脉冲等几类特殊初边值问题解之间的极限关系来进行稳定性分析。

There is no difficulty for us to solve N-K problem for submerged bodies by the coupled element method, but for wavemaking problems of the bodies piercing free surface, we get a difficult problem of line integral on the free surface when we solve the boundary value problem in the external region by boundary element method.

对于深潜物体的N—K问题，用耦合元方法求解不存在根本性的困难，但对于水面船波兴波问题，采用边界元方法来处理外域中的边值问题而出现了所谓的自由面线积分问题。

This is 1 the firstsharp uniform convergence result for linear transport equations in di?usive regime, aproblem that involves both transport and di?usive scales; and 2 the first uniform con-vergence valid up to the boundary even if the boundary layers exist.

这是对线性输运方程已知的第一个在扩散域中和输运扩散同时存在时具有高阶一致收敛性的算法，同时也是第一个一致收敛性在边界层也成立的算法。

The result showed that,if only the necessary but insufficient condition,the equilibrium condition ,was adopted to deal with the infinite uncertain boundary condition,the solution to the stress was non-unique due to the fact that the boundary problem here was a mal posed mathematic problem.

通过两个典型的半无限体实例，对水平表面作用无限均布压力下弹性地基的应力和位移解答进行研究，结果表明：对边界条件不明确的无限边界仅采用解答的必要非充分条件——平衡条件来等效处理，其应力解答不是唯一的，因为此时该边值问题不是一个适定的数学问题。

Corresponding mathematics model was developed, hole-edge stress analysis on composite material plate with multiform holes was carried out, accurate boundary conditions was founded by conformal mapping method, boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously.

建立了相应的数学模型，对含不同孔型复合材料板进行了孔边应力分析，通过保角映射方法建立精确的边界条件，解决了复杂孔型的边界条件问题，借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。

The second section: Under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of Camassa—Holm equations with dissipative. By using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth solution, global attractor in H〓, time periodic solution or almost-periodic solution and the global exponential stability are proved.

第二部分：在非线性控制边界条件之下，对于带耗散项的Camassa—Holm方程的初边值问题，用压缩映射不动点原理及先验估计方法，证明了整体光滑解的存在性、整体解的指数稳定性、H〓空间中整体吸引子的存在性以及时间周期解和殆时间周期解的存在性。

In this dissertation, the dynamic nonlinear layered soil-structure interaction problems are analyzed using a coupling method of finite elements -boundary elements -infinite elements -infinite boundary elements .

本文用有限元—边界元—无穷元—无限边界元耦合法研究了结构-非线性层状地基动力相互作用问题，用频域等效线性化方法处理土壤非线性特性，研究工作的主要内容包括

The Lower/Upper Cretaceous boundary in Songliao Basin is,therefore,between the Quantou and Denglouku formations,instead of between the Quantou and Qingshankou formations.2.The dark mudstones and shales in the Member 1 of Qingshankou Formation are of high organic carbon and low diasteranes contents.Organic geochemical characters are illustrated by biomarkers of 28,30-bisnorhopane and gammacerane,and positive excursion of kerogen isotopes.It is suggested that the dark mudstones and shales in the Member 1 of Qingshankou Formation are the products of lake anoxic period.It corresponds to the oceanic anoxic event at Cenomanian-Turonian boundary in Cretaceous.3.Based on the study of biostratigraphy,chronostratigraphy,magnetostratigraphy and event stratigraphy,a correlation of the lacustrine sequence to marine standard has been proposed,i.e.,the Quantou Formation corresponds to Cenomanian stage,Qingshankou Formation correlates to Later Cenomanian-Early Turonian,Yaojia Formation to Later Turonian-Coniacian,Nenjiang Formation to Santonian-Campanian.Sifangtai and Minshui Formations to Maastrichtian. 4.Analysis of lithology,lithofacies and microfossils of Cretaceous in Songliao Basin, shows that shore and shallow lake facies yield the most abundant microfossil groups,and the predelta and deltaic distributary plain facies rich in fossils as well.In the shore and shallow lake areas during the high level periods(such as Qingshankou and Nenjiang sedimentary periods),the lacustrine biota are of high diversity and high abundance.

因此，松辽盆地上、下白垩统的界线应在泉头组的底界，即泉头组与登娄库组之间，而不是泉头组的顶界。2、青山口组一段黑色泥岩、页岩具有有机碳含量高、重排甾烷含量低，生物标志物出现28，30—双降藿烷和伽马蜡烷，干酷根碳同位素具有正向偏移等有机地球化学特征，表征为青山口组一段黑色页岩、油页岩是古湖泊缺氧事件的产物，它对应于白垩纪古海洋Cenomanian—Turonian期界线附近缺氧事件，二者具同步性。3、通过生物地层学、年代地层学、磁性地层学和事件地层学研究，认为泉头阶大体相当于Cenomanian阶，青山口阶相当于晚Cenomanian—早Turonian阶，姚家阶对应于晚Turonian—Coniacian阶，嫩江阶对应于Santonian—Campanian阶，四方台阶和明水阶相当于Maastrichtian阶。4、通过对松辽盆地上白垩统的岩性、岩相及微体化石分析，认为滨浅湖相是微体生物群最为发育的相带，其次为三角洲前缘相和三角洲分流平原相。

The uplifting event in the north of boundary occurred in Miocene,and that in the south of boundary occurred in Late Cretaceous.

这一隆升过程在特提斯北缘的盆地群中都有表现，而隆升的形成是青藏高原地区Kohistan-Dras岛弧与拉萨地体在晚白垩世时期的碰撞事件远距离效应的结果。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。