一阶偏微分方程

根据液膜自由表面上的运动学边界条件，给出关于膜厚的一阶偏微分方程，利用特征线法求得了膜厚分布的数值解。

According to the boundary condition of the free surface , the paper gives the first order partial differential equation of the thickness of liquid film and uses characteristic line method to achieve the numerical solution .

关于一阶偏微分方程的问题

Problems about the First Order Partial Differential Equation

李群方法对一阶偏微分方程的应用

Duffing equation [ J ] . Int. J. Non-Linear Mechanics , 1992 , 30 ( 6 ): 783-792 . The Application of Lie Group Method to First Order Partial Differential Equations

多相反应色谱区别于多相色谱在于其化学反应项的存在，使描述过程的一阶偏微分方程组成为非齐次的，从而给理论分析和数值模拟带来困难。

The difference between multiphase reactive chromatography and multiphase chromatography is the existence of the term of chemical reactions , which results in the difficulties in theoretic analysis and numerical simulation since the first-order partial differential equations of the process become inhomogeneous .

一阶脉冲偏微分方程&（Ⅰ）脉冲微分不等式定理

Impulsive Partial Differential Equations of First Order ──(ⅰ) Theorems on Impulsive Differential Inequalities

一阶脉冲偏微分方程&（Ⅱ）解的稳定性及差分法

Impulsive Partial Differential Equations of First Order ──(ⅱ) Stability of Solutions and Difference Methods

几类特殊形式的一阶线性偏微分方程的局部可解性

On Local Solvability of First Order Linear PDES

本文通过引入位移函数使得立方准晶的轴对称弹性问题化为求解一高阶偏微分方程。

Axisymmetric elasticity problem of cubic quasicrystal is reduced to a solution of a partial differential equation with higher-order by introducing displacement function .

本文采用整体迭代法证明了带小初值的一阶非线性耗散偏微分方程组的Cauchy问题的整体经典解的存在性及指数衰减性质。

By the method of global iteration , this paper proves the existence and exponential decaying property of the global classical solutions to the Cauchy problem of first-order nonlinear damped partial differential equations with small inital data .

用于图像去噪的一个四阶偏微分方程

A forth-order partial differential equation used for image denoising

通常情况下，描述热传导过程的方程是一个二阶偏微分方程。

Commonly , the equation presented heat transfer is a two order PDE .

一阶拟线性偏微分方程组局部几何解的实现定理

The realization theorems of geometric solutions for systems of Quasilinear first order partial differential equations

具有正整数特征指数的一阶非线性奇异偏微分方程组

Nonlinear Singular First Order Partial Differential System Whose Eigenmatrix Exponent Has a Positive Integral Root

一阶拟线性偏微分方程。

Quasilinear First Order PDE 's.

通过引入位移函数，将位移型微分方程组变换为一个八阶偏微分方程和一个二阶偏微分方程。

By drawing displacement function , the displacement differential equations are transformed to one eighth-order differential equation and one second-order differential equation .

传输线可以看作集中参数二端口网络的级联，其数学模型&电报方程是一阶双曲型偏微分方程组。

Telegraph equations , can be looked as cascade connection of two-port network of lumped circuit of transmission line , is a hyperbolic partial differential equations .

根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。

Following the theory on characteristics of first order quasi-linear partial differential equations , classification of the balance equations for two-phase flow in interior ballistics is discussed .

利用高精度迎风格式去解决一阶线性双曲偏微分方程组的混合边值问题，给出了误差估计。

The high-accuracy upwind scheme is used to solve mixed boundary value problem for systems of the first order linear hyperbolic partial differential equations . The optimal order error estimations are given .

本文在广泛的意义下导出了热带气旋瞬时移向所满足的一阶拟线性偏微分方程，并得到了一般解的表达式。

In this paper the first order quasi-linear partial differential equation for instantaneous moving direction of tropical cyclone has been derived in a general sense , and its general solution has been obtained .

根据计算实践和物理考虑，指出电磁场基本方程作为一阶双曲型偏微分方程组的初值问题，可以成为有效的天线振子数值计算方法。

On the basis of physical considerations and computational experience , it is poin-ted out that the initial value problem of the Maxwell equations as a set of first order hyperbolic differential equations could become an effective numerical method for the solution of antenna radiation fields .

一类三阶复偏微分方程的Schwarz问题

Schwarz problem for a class of complex partial differential equations of third order

一种基于四阶偏微分方程的噪声消除方法

A Method for Noise Removal Based on Fourth-Order Partial Differential Equations

求解一阶线性双曲型偏微分方程组的一个差分格式

A Difference Scheme Solving First Order Linear Hyperbolic Partial Differential Equations

一类二阶椭圆型偏微分方程解的先验估计

One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation

一类三阶线性偏微分方程奇性定解问题的显式解

Explicit Solutions of the Singular Problems for a Linear Partial Differential Equation of Third Order

通过研究一类高阶泛函偏微分方程边值问题的强迫振动性，建立了边值问题解的振动的充分条件。

The forced oscillations of boundary value problems of a class of functional partial differential equations are studied .

一类二阶线性偏微分方程的定解问题

A Class of Problem for Determining Solution of Second-order Linear Partial Differential Equations of the Solution of the Problem

本文利用微分不等式和多重尺度，研究了一个高阶椭圆型偏微分方程奇摄动边值问题。

In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities and multiple scales .

将分数阶微分理论和全变分方法相结合应用于图像去噪，提出了一种基于分数阶偏微分方程的图像去噪新模型。

Combining fractional order differential theory with total variation method , a new image denoising model was proposed , which was based on fractional Partial Differential Equation ( PDE ) .

一类基于一阶传递偏微分方程的水污染模型

A class of water pollution model based on first order transport PDE