第四、五章研究了一类非线性抛物方程熵解的存在性。
In Chapter 4, 5, an existence result of entropy solutions to a class of nonlinear parabolic problems is established.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
本文研究一类非线性抛物型偏泛函微分方程的渐近行为。
This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations.
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。
In this paper, the properties of the positive solutions to a second order nonlinear parabolic equation have been studied.
本文导出了高斯光束通过非线性抛物形梯度折射率棒透镜的变换公式。
The transformation formulae of Gaussian beams through a nonlinear parabolic graded index rod lens are derived.
解的熄灭现象是非线性抛物型方程解的一个重要性质，有着广泛的物理背景。
The extinction phenomenon of solution is one of the important qualities of nonlinear parabolic partial differential equation, as it explains comprehensive realistic backgrounds.
反应的质量守恒方程为非线性抛物方程组，目标函数为一定时间内输入的气体量。
The equations of mass conservations of the reactions arc described by a nonlinear parabolic system of equations. The objective function is the input quantity of gas in a fixed period of time.
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 nonlinear parabolic equation thus formed is linearized through proofread-correct method and is solved by LU decomposition.
采用非线性抛物化稳定性方程（PSE）研究了非平行边界层的弱非线性稳定性。
The weak nonlinear instability of a nonparallel boundary layer is studied by nonlinear parabolized stability equations(PSE).
讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
论述了多连通区域上可测系数的二阶非线性抛物[型]方程组的初-正则斜微商问题。
The initial regular oblique derivative problem for nonlinear parabolic systems of several second order complex equations with measurable coefficients in a multiply connected domain is discussed.
本文具体讨论了注水过程中由于固体颗粒侵入造成地层伤害的非线性抛物型偏微分方程反问题模型。
In this paper, an inverse problem of a nonlinear parabolic partial differential equation of formation damage caused by the solids invading during the course of injection is presented.
本文考虑二维区域上的一类非线性抛物问题解的熄灭性，给出了一个导致解熄灭的与区域相关的充分条件。
This paper deals with the extinction of solutions on two dimension parabolic problems. A sufficient condition interrelated with the domain which leads to extinction of the solutions is given.
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。
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。
Miscible compressible displacement in porous media is modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation.
本文考虑对角型双非线性抛物型方程组，在一般结构条件下，证明广义解局部有界和整体有界，并对一特殊情形，证明了如果解在抛物边界为零，那么它只能是零解。
This paper consider a doubly nonlinear parabolic equations systems in diagonal form, under rather general structural conditions, proved that its generalized solution is bounded locally and globally.
本文对一类非线性抛物型方程提出对称修正有限体积元方法，给出能量模最优阶误差估计，并证明了对称修正有限体积元方法的解与一般有限体积元方法的解之差是一个更高阶项。
In this paper, we present a kind of symmetric modified finite volume element method for nonlinear parabolic problems, and give the optimal order energy norm error estimates for full discrete schemes.
考虑了一个具有非线性边界条件的抛物系统，证明了这个问题非负古典解的存在唯一性。
A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
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.
本文研究一类考虑数值积分影响时的一维非线性奇异抛物问题的有限元方法。
Under the effect of numerical integrate, a class of nonlinear parabolic boundary value problems with singular coefficients was considered in this article.
讨论可测系数的二阶非线性非散度型抛物型方程组在多连通区域上的初-斜微商边值问题。
This paper mainly deals with an initial-oblique derivative problem for nonlinear nondivergent parabolic systems of second order equations with measurable coefficients in a multiply connected domain.
本文研究一类拟线性双曲—抛物型方程具有非线性初边值条件的奇摄动问题。
This paper deals with the singularity perturbed problem of a class of quasilinear hyperbolic-parabolic type equations subject to nonlinear initial-boundary value conditions.
本文证明了一类二阶非线性双曲—抛物耦合方程组小初值问题整体解的序在唯一性。
In this paper, we prove the global existence and uniqueness of the solutions of the small initial value problems for a class of second order nonlinear hyperbolic - parabolic coupled systems.
本文研究一类拟线性椭圆—抛物型方程，具有非线性边值条件的奇异摄动问题。
In this paper, we consider singularity perturbed problem for a kind of quasilinear elliptic-parabolic type equation with nonlinear boundary value conditions.
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；
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.
编制了基于弹性悬链线单元的斜拉索的非线性有限元分析程序，比较了斜拉索的悬链线解析解、抛物线解析解和基于弹性悬链线单元的有限元解的计算结果。
Nonlinear finite element program of stayed cable based on the elastic catenary element is programmed. The analytic analysis and finite element analysis of different stayed cables are compared.
本文讨论描述流体在稀疏介质中流动规律的一类拟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 dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition.
双层双曲抛物面网壳结构在均布压力作用下的非线性屈曲分析。
The analysis on nonlinear buckling of double-deck hyperbolic parabolic reticulated shell under the uniform pressure.
研究二维非线性延迟抛物型微分方程交替方向差分方法。
The alternating direction difference method for the two-dimensional nonlinear delay parabolic differential equation is given.
讨论了一类超抛物型方程的非线性奇摄动问题。
A class of nonlinear singularly perturbed problem with ultra parabolic equation are considered.
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