查询词典 interior boundary problem

The existence of solutions for two-point boundary value problem subject to nonlinear second order differential equation with mixed boundary conditions is studied by using topological transversality theorem, and some known results are improved.

现利用拓扑横截定理，考虑了二阶常微分方程两点边值问题在组合边界条件下的解的存在性，对二阶常微分方程两点边值问题所对应的辅助问题作先验界估计，并利用拓扑横截定理，得到了边值问题解的存在性，推广了一些已有结果。

By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations.

用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。

There is no ferromagnetic material in the outside of ironless PM motors airgap. Because of this characteristic, airgap magnetic field of ironless PM motor belongs to 3-dimentions (3-D) open boundary magnetic field. Engineering problem of open boundary magnetic field is a hot research issue in the computation electromagnetics field recently.

无铁心永磁电机气隙外没有铁磁材料，其自身的结构特点决定了无铁心永磁电机的气隙磁场属于三维开域磁场，开域磁场工程问题的计算是近年来计算电磁学的研究热点之一。

The main contributions of this thesis are as follows:(1)To address the problem of kernel parameterσselection and regulation of the decision boundary in SVDD algorithm,this thesis proposes a new kernel parameter optimization method based on the spheral distribution of samples in kernel space and regulation of the decision boundary method based on KPCA(Kernel Principal Component Analysis).

本论文主要以支持向量数据描述(Support Vector Data Description，SVDD)与随机森林(Random Forests，RF)模式识别工具为基础，对流程工业在线故障诊断的若干问题进行研究，其具体内容如下：(1)针对SVDD的核参数σ优化及其决策边界规整问题，提出了基于核样本球形分布的核参数优化方法与基于核主元分析(Kernel Principal ComponentAnalysis，KPCA)的SVDD决策边界规整方法。

Firstly, the lake water quality model is developed under the condition of both internal and external pollution by using the method of microelement analysis, then homogenizes the non-cylindrical boundary condition and utilizes the methods of vector expending and pseudomonotone of the variational operator, and last the existence and uniqueness of the solution for a type free initial-boundary value problem is obtained.

本文首先运用微元分析法导出在外源和内源双重污染下湖泊水质模型，然后对一类自由初边值问题通过对非柱形边界条件的齐次约化，运用变分型算子的向量扩张和拟单调方法获得解的存在性、唯一性。

Based on the upper and lower solutions method,under suitable conditions,existence of solution of a three-point boundary value problem forthird-order ordinary differential equation with nonlinear mixed boundary conditions is obtained.

基于上下解方法，在一定条件下，得到了一类带有非线性混合边界条件的三阶常微分方程的非线性三点边值问题解的存在性，作为上述存在性结果的应用，在推论中给出了一类三阶非线性微分方程三点边值问题解的存在性。

Phase-lagged cyclic boundary condition is implemented by a novel method in conjunction with the developed sliding interface technique to accurately simulate the arbitrary pitch ratio rotor/stator interaction without any modifications of the physics of the problem. It's for the first time to compose the computational area into one structured grids including both rotor/stator of centrifugal or axial turbomachinery with arbitrary pitch ratio. This method can eliminate the iteration of boundary conditions on the sliding interface and calculate the unsteady flow within rotor and stator simultaneously.

为了能够在较小的计算区域内不改变叶型而真实地反映出任意栅距比时的内部非定常流场，并避免近似仍采用相位后滞周期性条件，结合本文发展的网格技术，给出了一种新的实施方法，首次将动、静叶片数不等的离心式/轴流式叶轮机械转子、静子计算区域组合在一套结构化计算网格中，动/静叶排间的滑移界面完全按内场处理，避免了每一时层内，滑移界面处边界条件的迭代计算；并保证了每一时层，滑移界面处流动参数的守恒特性。

As for mixed problem with integral boundary conditions for a certain nonlinear pseudo-parabolic partial equation, the existence and uniqueness of a strong solution to the corresponding linear problem is established and so the nonlinear problem can be solved by using addition theorem.

对于一类非线性伪抛物型方程的带积分边值条件的混合问题，本文通过相应的线性方程利用迭加原理来解决。

Based on stratification theory, begin with the barotropic primitive equation, some theoretical problems of atmospheric equations are discussed, including the well posedness of their initial value problem, boundary value problem and mixed problem.

摘要从正压原始方程开始，运用分层理论研究大气环流方程组定解问题的适定性，以及适定的定解问题(包括初值问题、边值问题和混合问题)在解析函数类空间准确解的求解方法。

Naturally,we confront with such a problem:can we generalizethe systematic work on the classical boundary value problem for analytic func-tions and singular integral equation to Clifford analysis?And so this problemhas especially theoretical and practical meaning,and naturally this problem hasbecome a common hot topic for mathematicians at home or abroad.

其结果在一定程度上推广了一些经典文献的结果，取消了这些在经典文献结果中对s=0或s=n的条件限制，需要指出的是，据作者所知，到目前为止，本文也是第一次系统而又比较深入地研究了取值在泛Clifford代数〓上的超复函数的性质，并获得了比较系统而又深入的结果；另外，本文还对Clifford分析中的某些比较特殊的Riemann边值问题与奇异积分方程做了一定程度的研究，由于文中所用的方法较曾经出现的文献而言有着根本的改进，因此，本文去掉了从前在这一问题的研究过程中所做出的一些不必要的条件限制，从而使得在比以往条件更弱的情况下，获得了比以前文献中更多的结果。

The second is to cut a mere 100 calories from your diet , which is the equivalent of a tablespoon of butter.

第二个就是从你的饮食中减少一百卡路里，只是相当于一大汤匙的黄油。

This is where the Rorschach test comes in.

现在，罗氏测试就出现了。