查询词典 algebraic equation

The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper.

本文运用试验函数法研究了带有非局部源的偏微分方程的全局弱解的不存在性，内容包括椭圆方程、发展方程全局解的不存在性以及双曲型方程的局部弱解的不存在性。

For that, using Darcy law, ideal gas state equation, mass conservation law and moment equation, the paper presents the pressure distribution equation in the porous media and lubricated film including hydrostatic and aerostatic porous thrust bearings (circular pad and rectangular pad), hydrostatic and aerostatic porous journal bearings and hydrostatic and aerostatic porous spherical bearings.

为此，本文利用Darcy定律、理想气体状态方程、质量守恒定律、动量方程以及相应的边界条件，给出流体在多孔质内部和流体薄膜内部压力分布方程，结果表明这两个流动域内部流体压力分布方程是相互耦合的。

By introducing the parameter , construct a new kind of weighted implicit difference scheme for (1+1)-dimension nonlinear Sine-Gordon equation and the generalized nonlinear Sine-Gordon equation respectively. Give out an ADI scheme for (2+1)-dimension nonlinear Sine-Gordon equation.

通过引进参数，分别为（1+1）维的非线性Sine-Gordon方程和广义的非线性Sine-Gordon方程建立了它们的加权隐式差分格式，给出了（2+1）维的非线性Sine-Gordon方程的ADI格式。

Starting with the basic concept about particle transport and the universal form of transport equation, the discuss is concentrated upon the transport equation and the implicit difference scheme under 3-D Cartesian coordinate, as well as the transport equation and the discontinuous finite element scheme under 2-D cylindrical geometry.

从粒子输运的基本概念和输运方程的一般形式入手，重点讨论了三维直角坐标中子输运方程和隐式差分格式，以及二维柱坐标中子输运方程和间断有限元格式。

In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

Based on the partial differtial equation,the solution of an integro-differential equation in an infinite interval is expressed in terms of the solution of this kind of equation in a finite interval.

研究了跳扩散框架下采用障碍红利分配策略模型中的自由边界问题，利用偏微分方程理论将有界区间上积分-微分方程的解用无界区间上积分-微分方程的解表示，在此基础上得到了期望累积贴现红利函数及自由边界所满足的方程

The mild-slope equation with current effects is reformulated to an inhomogeneous Helmholtz equation. Applying the conventional boundary element method to this inhomogeneous equation, the inhomogeneous part will result in a domain integral which makes the computation complicated and messy. To improve this drawback, the DRBEM is adopted to transform the domain integral to boundary integral.

首先将含水流效应之缓坡方程式重新整理为非齐次之Helmholtz方程式，再利用Green公式改写为积分方程式，但利用一般传统边界元素法解析时，将存在一领域积分项，使得边界元素法显得繁杂且不完美，为改善此一缺陷，本文乃应用双互换边界元素法之技巧，以节省大量之数值计算时间。

This article is based on the material balance equation and the no fixed water inroad equation,educe the equation of the no water recovery and the water coming time.

以物质平衡方式和不定态水侵公式等油藏工程理论为基础，得出无水期采收率和油藏见水时间的计算公式。

There are multiple choices for the normalized boundary equation. Based on a chosen normalized boundary equation, a new normalized boundary equation can be established such that the irregularity of the kernel of integral equations is overcome.

边界方程有多种选择，在选定一种边界方程的基础上，可以通过建立一个新的边界方程来表示问题的边界，以克服积分核的奇异性。

Next, the boundary value problem is changed into an integral equation by applying a Green function. Then, by establishing a normalized boundary equation, the irregularity of the kernel of integral equation is overcome.

弹性扭转问题可看成是Poisson方程的边值问题，R 函数理论保证了对于任何复杂的区域，总可以找到一个规范化方程，从而可以将弹性扭转问题化为一个无奇异性的第二类Fredholm积分方程。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。