文章的第一部分研究奇异线性抛物问题。
The first part of this paper discusses a linear singular parabolic problem.
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.
非局部半线性抛物方程组解的整体存在和爆破已为大量作者研究。
The global existence and finite time blow-up of solutions on semilinear parabolic systems with nonlocal source have been studied by many authors.
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.
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。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation.
利用半群理论等方法讨论了半线性抛物型边界控制系统解映射的有界性 。
In this paper, the compactness of solution map for parabloic system with a nonlinear boundary control using semigroup theory is obtained.
所用的技巧主要是建立在线性抛物系统的唯一连续性和不动点方法的基础上。
The techniques used here are based on the unique continuation of linear parabolic systems arid the fixed point theorem.
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.
并用此单元求解线性抛物型方程，给出半离散格式和全离散格式的误差估计。
At first we give the energy norm and L_2-norm estimates of anisotropic bilinear finite element, then we prove the estimates of semidiscrete form and fulldicrete form of linear parabolic problem.
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).
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.
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。
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.
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.
本文考虑一类二阶及四阶线性和半线性抛物方程初边值问题的解的渐近性与振荡性。
This paper describes the asymptotic and oscillatory properties of solutions of initial boundary value problems of linear and semilinear parabolic equations of second and fourth order.
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.
第二章用上下解的方法来研究耦合半线性抛物方程组的动力学行为，给出了解的渐近行为。
The dynamics of coupled systems of semilinear parabolic equations are investigated using the method of upper and lower solutions. The asymptotic behavior of the solutio is given.
本文采用非线性分析方法，研究生物种群动力学中一类拟线性抛物系统，得到解的整体存在性。
In this paper, using the methods in nonlinear analysis, this present paper, studies the quasilinear parabolic systems in population dynamics, and obtained the existence of the global solution.
本文用单调性方法研究了一个拟线性抛物型方程系教反问题，得到了该反问题的唯一性与稳定性。
In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
研究一类强退化拟线性抛物方程的重整化解，在一定假设条件下得到了这类广义解的存在惟一性。
The existence and uniqueness of renormalized solutions of a class of strongly degenerate quasilinear parabolic equations under certain assumptions are 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.
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.
主要运用能量方法及稳定集和不稳定集的观点，研究一类半线性抛物方程的整体解和局部解的存在性及爆破问题。
In this paper, we are concerned with the existence of global solutions or local solutions and blowup of one kind of semilinear heat equation.
本文中我们采用扩展混合有限元方法和混合体积元方法数值模拟了二阶拟线性抛物型积分微分方程和二阶拟线性抛物问题。
In this paper , we consider the Expanded Mixed Finite Element Method and mixed covolume method for the quasilinear parabolic integro-differential equation and quasilinear parabolic problem.
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 a porous media is modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation.
应用推荐