The second part is the controllability of parabolic equation .
第二部分写的是，抛物方程的能控性。
The existence and uniqueness of double degenerate parabolic equation are considered.
讨论双退化抛物型方程解的存在性和唯一性。
A class of nonlinear singularly perturbed problem with ultra parabolic equation are considered.
讨论了一类超抛物型方程的非线性奇摄动问题。
So this method is effective in soluting two-dimensional parabolic equation and can be widely used.
该方法是求解二维抛物型方程的有效方法，必将得到更广泛的应用。
The rotated parabolic equation method was presented to compute the bistatic radar cross section (RCS).
并提出了旋转抛物线方程算法，实现了目标任意角度雷达散射截面的快速计算。
The properties of the solution to some degenerate parabolic equation with shift element are considered in this paper.
对一类具有扰动项的退化抛物方程，考虑其解的性质。
This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
The model is based on a modification to the smooth-earth parabolic equation, and uses the split-step Fourier algorithm.
以“热像”形成的衍射理论模型和分步傅里叶算法为基础，模拟研究了厚介质情况下“热像”的形成特点。
In this paper, the properties of the positive solutions to a second order nonlinear parabolic equation have been studied.
研究了一类带有非线性边界条件的二阶非线性抛物方程正解的性质。
This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.
征明了一个伪抛物型方程初边值问题弱解的唯一性。
For solving four order parabolic equation, a new class of implicit different schemes containing parameters are constructed.
对四阶抛物型方程构造一族新的含参数隐式差分格式。
The nonlinear parabolic equation thus formed is linearized through proofread-correct method and is solved by LU decomposition.
应用预估校正法对所形成的非线性抛物型方程进行线性化，采用追赶法进行求解。
The alternating group explicit iterative method for solving the neutral parabolic equation with initial boundary conditions is given.
提出了求解中立型抛物方程初边值问题的交替分组显式迭代方法。
Sufficient conditions are obtained for oscillation of certain nonlinear delay parabolic equation under Robin Boundary condition (RBC).
获得了在Robin的边界条件(RBC)下某类非线性时滞抛物方程振动的充分条件。
In this paper we present the parabolic equation mixed element anisotropic analysis, we give error estimate of the semi-discrete scheme.
讨论抛物型方程的混合元的各向异性分析，给出了半离散格式的误差估计。
A family of high accurate and three layer difference schemes containing parameters are constructed for solving four order parabolic equation.
对四阶抛物型方程构造一族含参数高精度三层差分格式。
The initial-value problem of two-dimensional parabolic equation can be solved by using meticulous integration of single inner point subdomain.
可用单内点子域精细积分法，求解二维抛物型方程初值问题。
A family of highly accurate and three layer difference schemes containing parameter are constructed for solving parabolic equation of four order.
对四阶抛物型方程构造了一族含参数高精度三层差分格式。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation.
讨论了一类半线性抛物型方程具有第三类非线性边界条件的初边值问题。
This paper by introducing integral deals with the uniqueness and stability of solution of the Cauchy problem to a form of semi-linear parabolic equation.
本文采用引进积分的方法讨论一类半线性抛物型方程柯西问题解的唯一性与稳定性。
Linear equation with one unknown, parabolic equation and nonlinear damped vibration equation well fit to describe the dynamics of Lou soil buffering rate or value.
一元线性方程、抛物线方程及非线性阻尼振动方程对描述土壤缓冲速率及缓冲量动力学具有适应性；
Energy balance equation, differential equation of heat conduction and combination of linear equation and parabolic equation of oxygen-layer forming are established.
建立能量平衡方程、钢坯导热微分方程、氧化层生成线性和抛物线增长的组合方程。
The mixed partial differential terms of time variables and space variables in the pseudo-parabolic equation make the discussion of the difference scheme more difficult.
伪抛物型方程中关于时间与空间变量的混合偏导项给差分格式的讨论带来了一定难度。
In this paper, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained.
本文研究了具有边界摄动的抛物型方程。利用可解性的讨论，得到了原问题的摄动解。
The Parabolic Equation method (PE) is an approximation of the wave equation, which models energy propagating in a cone centred on a preferred direction, the paraxial direction.
抛物线方程（PE）是波动方程的一种近似形式，它假设电磁波能量在沿着抛物线轴向的锥形区域内传播。
Miscible compressible displacement in a porous media is modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation.
有界区域上多孔介质中可压缩可混溶驱动问题由两个非线性抛物型方程耦合而成：压力方程和饱和度方程均是抛物型方程。
The parabolic equation method has been used widely in the electromagnetic wave propagation model and becomes the main tool to resolve the problem of electromagnetic wave propagation.
抛物方程方法已经被广泛地应用于电磁波传播模型，并成为解决电磁波传播问题主要的工具。
A type of 2D semi-linear pseudo-parabolic equation is cousidered, which has wide application areas. An implicit difference scheme corresponding to the IBVP of this equation is designed.
本文讨论了一类具有较强应用背景的二维半线性伪抛物方程，设计了求解此类方程对应的初边值问题的隐式差分格式。
Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
方法利用庞加莱截面、李雅普·诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
方法利用庞加莱截面、李雅普·诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
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