奇性

轴对称双倒易边界元法的f函数及其奇性处理

Function f in Axisymmetric Dual Reciprocity Boundary Element Method and its Singularity Processing

推广Burgers方程的对称性约化和奇性分析

Symmetry Reductions and Singularity Analysis of Generalized Burgers Equation

区域外层具有奇性的Stiff问题的渐近分析

Asymptotical analysis of the Stiff problem with Singularity on the exterior domain

二维空间中函数Radon变换的奇性研究

Research on Singularities of Radon Transform in Two-Dimensional Space

二维黑洞Cauchy视界的奇性

Singularities of the Cauchy horizon in two dimensional black hole

弱奇性Volterra积分不等式解的估计

Estimates on solutions of some weakly singular Volterra Integral Inequalities

用分离奇性法解二维Stefan问题

Solution Of the two-dimensional stefan problem by the Singularity-separating method

由于Born近似奇性反演算法仅利用了逆散射序列的线性项，因此只能适用于小扰动量介质的反演。

Since Born-approximate singular inversive algorithm only uses the linear item of inverse scattering sequence , that adapts itself only to the inversion of the medium having small disturbance .

延迟微分方程的Hopf分支和T-B奇性分析

The Analysis of Hopf Bifurcation and T-B Singularity for Delay Differential Equation

核函数有弱奇性的第二类Fredholm积分方程的自适应数值解法

A Self-adaptive Solver for Fredholm Integral Equations of the Second Kind with Weakly Singular Kernels

一类Fredholm型弱奇性核积分方程展开解

A kind of Fredholm type weak singular kernel integral equation with triangle function as free term

本论文主要研究了具有耦合非局部源的退化抛物方程组的临界指标，以及关于奇性解的渐近性分析，例如爆破速率、爆破集、Profile等问题。

This Thesis deals with asymptotic behavior of solutions to a degenerate parabolic system coupled via nonlinear non-local sources , such as critical exponents , blow-up rate , blow-up profile near the blow-up time , etc.

本文利用守恒积分，对HRR奇性场的角分布函数作了进一步的探讨。

The angular distribution functions of HRR singularity fields are analyzed via conservation integrals .

通过Helmholtz方程外Dirichlet问题产生的第一类积分方程的核具有对数奇性。

The kernel in the first kind integral equation arising from exterior Dirichlet problem of Helmholtz equation has a logarithmic singularity .

具有高奇性的Riemann-Hilbert边值问题

Riemann Hilbert Boundary Value Problem with high order singularities

弱奇性积分方程的保奇性Petrov-Galerkin方法

Singularity Preserving Petrov-Galerkin Methods for Weakly Singular Integral Equations

离散时空中的奇性自由的Friedmann宇宙解

A singularity-free solution of Friedmann universe in the discrete spacetime

本文讨论了一类高阶B-双曲偏微分方程。提出一类奇性Cauchy问题，证明了局部可解性。

In this paper we discuss a class of higher-order B-hyperbolic equation put forth a type of singular Cauchy problem and prove it to be locally solved .

运用RiemannSchwarz对称原理，并结合复变函数奇性主部分析方法，获得了该问题的一般解答。

The general solution to this problem was obtained by means of Riemann_Schwarz 's symmetry principle integrated with analysis of singularities of corresponding complex potentials .

我们主要讨论了通过适当控制初始条件，使得只有边界的非线性项的奇性才会在有限时刻出现的可能性（亦即边界quenching）。

We concentrate mainly on the possibility of controlling by suitable way the initial data , so as to the only occurrence of the singularity of boundary nonlinearity at finite time ( i.e. boundary quenching ) .

本论文主要讨论了通过非线性边界流耦合的热方程组的临界指标，以及奇性解的渐近性分析（blow-up速率）。

This thesis deals with critical exponents and asymptotic behavior of solutions ( blow-up rate ) to a heat parabolic system coupled via nonlinear flux .

其基础是衍射理论的Kirchhoff积分，原理是通过曲面几何函数的解析奇性和距离函数的拓扑奇性之间的联系。

The basis is Kirchhoff integral of diffration theory . The principle is the relation between the analytical singularity of surface geometric function and topological singularity of distance function .

关于Euler-Poisson-Darboux方程在半无界区域的奇性混合问题

On Singular Mixed Problem for the Equation of Euler-Poisson-Darboux

根据裂纹散射场的奇异部分和Cauchy型奇异积分的性质得出了裂纹和界面接触点处的奇性应力指数和接触点角形域内的奇性应力。

In virtue of the singular scattered field of the crack together with the property of Cauchy type integral , the singular stress and singular stress order at the terminating point are calculated .

我们考虑具常重特征的非严格拟线性双曲组的Cauchy问题，在初值具有较弱衰减假设下，得到Cauchy问题解的奇性形成。

We considered the Cauchy problem of quasilinear non-strictly hyperbolic systems with characteristics of constant multiplicity and obtained a blow-up result of the solution to the Cauchy problem with weaker decaying initial data .

文中首先导出了平面复合型裂纹问题应力强度因子K1、KⅡ与等参奇性元节点位移间的关系式，作为用等参单元法推算应力强度因子的依据；

First , relationship [ formulas connecting stress intensity factors , K_ ⅰ and K_ ⅱ, of plane mixed-mode crack problem ] and the displacement of nodes are derived , which form a basis for calculating the stress intensity facor by using isoparametric singular element .

在文献《对强符号非奇性矩阵的有向图和禁用图的研究》中提出一个问题，是否MFC必定含有偶数个强分支。

So , in the paper 《 On digraphs and forbidden configurations of strong sign nonsingular matrices 》, the author proposed a supposition whether any MFC must be with even number of strong components .

利用奇性分析方法，研究了耦合KdV方程的Painlev啨性质；

By using the singularity analysis approach to the coupled KdV equation , we study the Painlev é property of the model .

小表面张力下非奇性Saffman-Taylor指的短时演化

Transient Evolution of Non-singular Saffman-Taylor Fing with Small Surface Tension

Euler-Poisson-Darboux方程奇性Plcard问题存在性和唯一性中的离散现象

Discrete phenomena in existence and uniqueness in the singular Picard problem for the euler-poisson-darboux equation