查询词典 boundary condition

In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail.

文摘：详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。

On the basis of the theory of option pricing,We study the connection between America call option and European call option;Under the assumption condition of Black-Scholes formula ,use the theory of martingales and stopping time,get the conclusion that: the price of America call option equals the price of European call option; Discuss some numeric computing methods of the put America option pricing, with the invarional inequaility for optimal stopping, prove the boundary property of America put option price ...

基于期权定价的基本理论，研究美式看涨期权与欧式看涨期权之间的关系；在Black-Sc holes公式假设条件下，利用鞅和停时理论，得美式看涨期权的价格与欧式看涨期权的价格相等；探讨美式看跌期权价格的数字化计算，在相关假设条件下，利用基于最优化时的变分不等式证明了美式看跌期权价格的有界性，并介绍了几种美式看跌期权价格的数字化计算方法。

In this paper,through construction of an asymptotic solution,We give a necessary condition of the micro local form to local solvability of boundary value problem of pseudo differential equation with two variables.

利用微局部分析的工具，讨论了含两个变量的拟微分方程边值问题的局部可解性；通过构造渐近解的方法，给出了上述问题局部可解的微局部形式的必要条

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理，并利用 Sobolev 嵌入的最佳达到函数，克服了由于 Sobolev 嵌入失紧性而带来的系列困难，证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

Considering the influence of fluid's viscosity and large amplitude slosh, the 3-dimension coupling system composed of uncompressible viscous fluid and ideal elastic structure is studied in this paper. The moving state of the interface between the fluid and the structure is analyzed, and the boundary's moving condition (i.e. displacement compatibility) and dynamic condition (i.e. traction equilibrium) are given.

本文探讨了计入流体的粘性、大幅晃动影响，不可压缩粘性流体与弹性体的三维动力耦合问题，分析了流体、固体接触界面的运动状态，给出了其运动和动力边界条件，即位移一致性和作用力平衡条件。

The thesis can be divided into five parts as follows: First, the structural characteristics of finned-pipe evaporator are analyzed. After selecting suitable microelement controller, the heat-transfer and mass-transfer processes are analyzed for every microelement under the conditions of dryness, wetness and frostiness. Based on previous equations, some parameters of frostiness are confirmed and the frost-growing model is set up under frost condition. Some hypotheses are postulated and with the help of the equation of mass-conservation, energy-conservation and momentum-conservation, the evaporation model which fits in the dynamic simulation is built, which set a solid foundation for system simulation. Second, the starting and stopping behaviors under disturbed condition are analyzed and calculated by using the dynamic concentrative parameter model, which gives some advice to better prescribe refrigeration system and set theoretic foundation for carrying out automatic control of refrigeration system. Third, the normal running process is analyzed and calculated by means of rational matching theory, which gives some advice on how to better understand the parameter change under steady state and the affection of inlet-parameter on evaporator. Fourth, the simulation software with dynamic characteristic is designed, which can be applied to calculate thernio-parameter of cryogen, air humidity and frost thickness under different initial and boundary conditions, and to carry out dynamic simulation under conditions of dryness, wetness and frostiness, at the same time, to achieve detection and simulation at any stage from starting to stopping.

本文的主要内容如下：1对翅片管蒸发器结构特点进行分析，选取适当的微元控制体，就干、湿和霜工况下对每个微元分别进行传热传质分析，基于经验关系式确定霜的有关参数，对于霜工况下的霜生长建立模型，经适当假设，运用质量守恒、能量守恒和动量守恒方程建立适合动态仿真的蒸发器数学模型，为系统仿真奠定基础； 2对蒸发在大扰动下的开、停机过程，运用动态集中参数模型进行分析和计算，为更好地描述制冷系统运行的全过程奠定基础，同时也为制冷系统实现自动控制提供一定的理论基础； 3对蒸发器正常运行过程，运用动态分布参数和参数间定量耦合的观点来分析和计算，为更好地了解稳态工况下各点参数的变化情况及各入口参数对蒸发器动态特性的影响即蒸发器性能对各参数变化的敏感性； 4编写翅片管蒸发器动态特性仿真计算程序，可以计算不同边界条件和初始条件下的制冷剂热力参数、空气温湿度和霜厚度分布场，实现对翅片管蒸发器在干、湿和霜工况下的动态仿真。

Secondly, based on the different structure characteristics and additional conditions, we study several kinds of inverse problems of pseudoparabolic equations. One is a kind of pseudoparabolic inverse problem of identifying a constant coefficient solved by combining the formal solution of the problem and the additional condition properly. The second is the pseudoparabolic inverse problems of identifying an unknown boundary function and an unknown source term solved by using the Riemann function method to get the formal solution of the problem and then using the additional condition to transform the problem into a Volterra integral equation of the second kind. The third is a kind of backward heat flow problem of nonlinear pseudoparabolic equation solved by combining the Riemann function method and the fixed point theory properly.

其次，根据不同模型的结构特点和附加条件，研究了几类伪抛物型方程的反问题：一是利用问题的形式解并结合附加条件，解决了一类伪抛物型方程常数系数的反问题；二是利用Riemann函数方法获得问题的形式解，利用附加条件将问题转化成求解第二类Volterra积分方程问题，解决了一类伪抛物型方程未知边界值的反问题和未知源项的反问题；三是将Riemann函数方法和不动点定理相结合，解决了一类非线性伪抛物型方程的后向热流问题。

The underwater enclosure was built along the boundary of target water body and the lake bottom sludge was filled into the enclosure by twisting-suction dredging ship according to designing elevation for the purpose of formation of slope riffle, which will improve natural condition of littoral zone of lake, and create favorable habitation condition for ecological restoration in littoral zone of lake.

文章介绍最新开发的湖滨陡坎沿岸水域基底修复技术，主要采用人工方法在需要进行大型水生植物群落恢复的湖滨陡坎沿岸的水域实施基底修复工程措施，在目标水域边界构筑水下围埝，采用绞吸式挖泥船将疏浚的湖泥按设计高程要求吹填至基底修复工程区内，形成缓坡浅滩，改善湖泊沿岸带自然条件，为湖泊沿岸带生态修复创造良好的生境条件。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了