偏微分方程组

由于决定方程组是超定的、线性的或非线性的偏微分方程组，完全求解它们非常困难。

Because the determining systems are a linear or nonlinear overdetermined PDEs , it is very hard to solve them completely .

偏微分方程组的Lie群与高阶对称群的Taylor多项式逐步精化算法

Taylor Polynomial Stepwise Refinement Algorithm for Lie and High Symmetries of Partial Differential Equations

非定常人口发展过程的积分-偏微分方程组的H~（3/2）（Q）-解

H ~ ( 3 / 2 )( q ) - solution of system of integro-differential equations for nonstationary population evolution process

两个自变量的线性狭义双曲型偏微分方程组Cauchy问题

Cauchy problem for linear limitedly hyperbolic system of partial differential equations in two variables

线性齐次偏微分方程组吴特征列和Janet基的等价性

Equality between wu-characteristic sets and Janet bases for linear homogeneous partial differential equations

以能量守恒为基础，建立了换热网络的机理动态数学模型，利用VISUALBASIC编程语言，运用显式差分法求解了该偏微分方程组。

Based on energy conservation , dynamic models for heat - exchange network are obtained , and by Visual Basic language , the mathematic differential equations are solved by method of explicit difference law .

第三章用特征子空间的分解和Lyapunov函数来研究二种群捕食系统常微分方程组和偏微分方程组全局稳定性。

The global stability of ODE and PDE systems are investigated using the method of charateristic subspace decomposition and Lyapunov function .

Jacobi椭圆函数展开法在求解非线性偏微分方程组中的应用

Applications of Expansion Method About the Jacobi Elliptic Function of Nonlinear Partial Differential Equations

三阶线性偏微分方程组Cauchy问题解析解的结构

The Construction of Analytic Solutions for Cauchy Problem with System of Third Order Linear Partial Differential Equations

二阶偏微分方程组的Riemann型衔接问题

On the connected problem of Riemann type for system of partial differential equations of the second order

大系统分解理论对变系数线性偏微分方程组Cauchy问题一致适定的应用

The application of the decomposition theory for large scale system to consistent suitability of the Cauchy problem of linear parital differential equation system

利用低阶偏微分方程组的大倾角差分偏移F-X域粘弹性波动方程保幅偏移

Steep dip finite-difference migration using the system of lower-order partial differential equations

讨论了由椭圆型偏微分方程组Dirichlet问题所支配的系统，给出了最优边界控制的最优性组。

The system governed by elliptic partical differental equations with Dirichlet conditions is discussed and the optimum system of the boundary control is given .

通过将位移和载荷展开为Fourier级数，把非线性偏微分方程组转化为二阶常微分方程组，并可由四阶Runge-Kutta方法数值求解。

The nonlinear partial differential equations obtained are transformed into ordinary differential equations by expansion into Fourier series and then solved numerically by the Runge-Kutta method of the fourth order .

本文由虚功原理建立弹性圆拱的平衡方程，用有限差分法对非线性偏微分方程组进行求解（Park法对时间进行差分）。

The equilibrium equations of elastic circular arches are established using the principle of virtual work . The nonlinear partial differential equations of motion are solved using a finite difference method ( Park 's method for time difference ) .

一类常系数二阶椭圆型偏微分方程组Dirichlet问题解唯一的充分必要条件

On the Necessary and Sufficient Conditions of the Uniqueness of the Solution of the Dirichlet Problem for a Class of Elliptic Partial Differential Systems of Second Order with Constant Coefficients

建立了中空纤维膜接触器的传质模型，应用MATLAB处理了传质模型中的非线性偏微分方程组，预测了CO2出口浓度。

The mathematical model of mass transfer in the membrane absorber was derived . The solution method for nonlinear partial differential equations was given by using MATLAB . CO_2 concentration in liquid outlet was predicted by mathematical model of kinetics of mass transfer .

研究了偶数维空间上的广义CauchyRiemann方程组，利用有限伸张映射的控制偏微分方程组理论，将偶数维空间上的广义CauchyRiemann方程组转化为一个类似于平面上的方程的形式。

This paper deals with generalized Cauchy-Riemann system in even dimensions , which is transformed to an equation similar to the ones in the plane by using the theory of governing equations .

用级数展开把非线性偏微分方程组化为易于求解的Kronecker张量积形式的二阶常微分方程组，并由四阶Runge-Kutta法数值求解。

The nonlinear partial differential equations are transformed into the ordinary differential equations of Kronecker tensor product by series expansion and solved numerically by the fourth order Runge Kutta method .

利用Lagrange描述法建立了受压细长杆因弯曲引起的轴向位移与横向位移之间的关系，并建立了由偏微分方程组描述的非线性动力学模型。

A geometrical relation between longitudinal displacement and transverse displacement of a Euler 's pole is ( obtained ) by Lagrange 's description method , and a nonlinear dynamic model expressed by partial-differential equations is ( established . )

与Hamilton-Jacobi方法不同，它把求解Hamilton正则方程的问题归结于求解一串相继生成的偏微分方程组的持解。

To contrast with Hamilton Jacobi method , this method reduces the problem of solving Hamilton 's canonical equations to that of finding special solutions of successively generated sets of partial differential equations .

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 .

根据熔融碳酸盐燃料电池（MCFC）电堆内部物质能量流动分析得出的温度分布数学模型是一组偏微分方程组。

The working principle of the molten carbonate fuel cell ( MCFC ) is a heat and mass transfer process going with electrochemical reactions .

由大挠度的VonKarman理论建立了以应力函数和挠度函数表示的运动偏微分方程组，再由Galerkin法转化成非线性常微分方程。

The governing nonlinear partial differential equations which expressed by stress function and deflection function are obtained using the von Karman theory . Then the nonlinear partial differential equations are transformed into nonlinear ordinary differential equation using Galerkin method .

把Mei对称性方法用于电磁场中带电粒子的运动，从二维运动电荷的Mei对称性出发，运用比较系数法，得到与Mei对称性相应的生成元的普遍表达式及电磁场所满足的偏微分方程组。

The motion of a charged particle in an electromagnetic field is studied by Mei symmetry . Based on the Mei symmetry of two dimensional particle motion , the generator and the partial differential equations for the electromagnetic field are obtained by comparing the coefficients of all the monomials .

本文根据Reissner平板理论，推导得到了矩形中厚板弯曲和稳定问题偏微分方程组的共同形式及其解析解的共同格式。

In accordance with E. Reissner 's plate theory , in this paper , common forms of the partial differential equations as well as their analytical solutions to bend-ing and stability problems for rectangular plate of moderate thickness are con-sidered .

首次将Jacobi椭圆函数展开法应用于求解非线性偏微分方程组，以变异的Boussinesq方程为例演示了方法的有效性，用此方法求出的精确周期解包含了冲击波解。

Expansion method about the Jacobi elliptic function is firstly applied to systems of nonlinear partial differential equations . The variant Boussinesq equation is considered to illustrate the effectiveness of the method . The periodic solutions are obtained by the method , including the shock wave solutions .

首先利用一个标准变换将修正的非稳非线性Schro¨dinger方程化成一个非线性偏微分方程组，接着通过选取不同参数得到一些非线性代数方程和非线性常微分方程。

The modified unstable nonlinear Schro ¨ dinger equation is first reduced to a system of second order nonlinear partial differential equations , then some of the nonlinear algebraic equations and nonlinear ordinary differential equations are obtained by choosing different parameters .

并研究了非线性偏微分方程组的解在正则部分的情形。

The case of regular solutions of nonlinear PDAEs is investigated .

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