查询词典 dirichlet boundary condition

The M Q algorithm has been applied to the second order elliptic problems with the Dirichlet boundary conditions,and the so called R condition is involved in the convergence theorem and the optimal relaxation parameter.

M-Q算法所考虑的是二阶椭圆型Dirichlet边值问题，此时有所谓的R条件成立，算法的收敛定理以及松弛因子的选取都需要该条件。

In Chapter 1, we use the upper and lower solutions method, the bootstrap technique and the Schauder fixed point theorem to investigate the existence of periodic solutions and the asymptotic behavior of general time-dependent solutions for periodic reaction-diffusion systems of the following three types:(1) Quasimonotone nondecreasing system;(2) Mixed quasimonotone system;(3) A nonquasimonotone 2-system. The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章，我们应用上、下解方法，bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态：（1）拟单增系统；（2）混拟单调系统；（3）一个非拟单调2-系统，其边界条件是Dirichlet条件或线性Robin条件。

In Kuksin's the monograph, assuming the potential depends on n-parameters, he showed that the Schrodinger equation with Dirichlet boundary condition possesses many invariant tori for "most"(in the sense of Lebesgue measure) parameters.

Kuksin 在他 1993 年的专著当中表明，对于依赖于参数的势函数来说，满足 Dirichlet 边值条件的非线性薛定谔方程，对于大多数(在 lebesgue 测度意义下)的参数，存在许多不变环面。

Draw lessons from increment type observation implement with PI condition observation implement research achievement, combine heat to dominate a field complex control system designs bunchy form normally the actual condition of regulating system, offer observation of function of PI of increment style broad sense implement and the concept that its condition feedbacks, the tectonic regulating system that cluster form and observation implement feedback of shirt-sleeve broad sense condition controls a system, learn an analysis through number, give out the sufficient condition of IFO-PIO/BS reachs his corresponding theorem and deductive proof, announce give this to controlled systematic equivalence to be had at IFO-PIO/BS change the function that gain condition feedbacks.

借鉴增量式观测器和PI状态观测器的探究成果，并结合热控领域复杂控制系统通常设计成串级调节系统的实际情况，提出增量式广义PI函数观测器及其状态反馈的概念，构造串级调节系统和观测器相融合的广义状态反馈控制系统，通过数学分析，给出IFO-PIO/BS的充分条件及其相应定理和推论的证实，揭示出该控制系统等价于IFO-PIO/BS具有了变增益状态反馈的功能。

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

The appraisal and the finding of current mill condition , the forecasting of conditiontrend ,fault diagnosis 、maintenance strategy arithmetic and decision-making deducingprocess.To enhance software function of equipment management information system, mill condition-based maintenance software aided system is developed,it can save mill condition data into equipment information management platform,through mill software module to analysis sequenced detection data and automaticly give the appraisal of current mill condition , the forecasting of condition trend ,fault diagnosis,maintenance strategy and decision-making suggestion for mill technician as a reference to decide whether tostart mill condition-based maintenance.

在燃煤电厂既有的设备点检和大小修管理信息系统软件平台的基础上，进一步开发磨煤机的状态检修软件支持系统模块，能存储磨煤机的状态点检数据入设备信息管理平台，通过磨煤机状态检修软件支持系统模块对一段时间内的磨煤机点检数据进行处理从而给出磨煤机当前状态的分析与评价，磨煤机状态趋势的预测，磨煤机的故障分析、故障原因查找和解决措施，将最终的维修决策建议提供给磨煤机的专业技术维修人员和管理决策者参考，结合软件分析和人工经验的干预以决定是否开始磨煤机的状态检修。

In the numerical simulation, the Blasius equation of boundary layer based on the Chebyshev interpolation points was solved by using of the Runge utta method with variable step. On the basis of the coordinate transformation of the boundary condition, the Chebyshev spectral method was applied to solve the hydrodynamic stability equation of boundary layer.

在数值模拟中，采用变步长的Runge Kutta方法，求解基于Chebyshev插值点的边界层Blasius方程，然后对边界条件进行坐标变换，使Chebyshev谱方法适用于边界层稳定性方程的求解。

The phase of optical wave can be recovered by the intensity transport equation under the paraxial approximation For the optical system with diffraction limit, it is difficult to get the boundary radical slope of phase and sample in the circular domain boundary when using the intensity transport equation to recover the phase, consequently, we reviewed an algorithm mentioned in the reference ［4］, namely, the equation, computation domain and boundary condition are changed, then the phase is reconstructed by the multigrid method and corrected at last Moreover, the experiment system is set to testify the algorithm, and the recovered phase from the intensity data detected by CCD is compared with the result from phase retrieval algorithm, it is found that the phase reconstruction error can reach 017 λ in the case of non-uniform intensity distribution, as a result, the method is suitable for the phase recovery with low wavefront sensing accuracy.

在傍轴近似条件下，可以利用光强传播方程对畸变波前进行相位恢复。对于衍射受限的光学系统，很难获得相位的边界径向斜率值作为边界条件，此外，要获得精确的圆域边界采样值也并非易事。为了克服上述困难，进一步研究了相位恢复改进方法，即改变了方程的表示形式、计算区域和边界条件，并用多重网格法进行求解获得重构相位，最后再将其修正。为了验证算法的精确性，搭建了实验系统对算法进行实验验证，将由CCD探测的光强分布进行计算得到的相位分布与相位恢复算法的结果进行比较，证明在光强分布非均匀的情况下，该方法恢复的相位均方根误差能够达到017 λ，可以适用于波前传感精度要求不是很高的相位恢复。标签自适应光学相位恢复相位修正光强传播方程 adaptive optics phase retrieval phase correction intensity transport equation

Part II, the artificial boundary condition and its numerical methods based on natural boundary reduction for a hyperbolic initial boundary value problem in an infinite domain with a concave angle is investigated.

第二部分，研究一类具有凹角的无界外区域的双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。