本文讨论一类具有非局部源退化抛物方程组。
This paper deals with a degenerate parabolic system with nonlocal sources.
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.
详细讨论了多孔介质中一类耦合抛物方程组的均匀化过程，并给出了均匀化结果。
The homogenization of a coupled parabolic system is discussed carefully and the homogenization results are obtained.
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.
本文分别研究了一维拟线性双曲方程组与多维双曲-抛物方程组解的大时间状态行为。
Here we study the large time behavior of solutions to quasilinear hyperbolic systems in one dimension and hyperbolic-parabolic systems in multi-dimensions.
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.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
The properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
讨论一类退缩拟线性抛物方程组解的局部存在性与猝灭，证明了在一定条件下解在有限时刻发生猝灭，并给出猝灭时间的一个上限估计。
A class degenerate quasilinear parabolic systems is considered. The local existence is proved. In some conditions the solution quench in a finite time. And an estimate of quenching time is given.
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.
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.
本文提出了一种适合在小型混合计算系统上求解抛物型偏微分方程及方程组的分时迭代法。
An iterative time-sharing method suitable for the solution of parabolic differential equations on a small scale digital-analog hybrid computing system is presented.
本文从混凝土坝分层浇筑坝体温度的实际问题中，抽象出一类抛物偏微分方程组的混合问题，并且证明了其广义解的存在唯一。
In this paper, an abstract mixed problem of a class parabolic differential equations is generalized from the dam body temperature during the stratified placement of concrete dam.
建立了一类中立型抛物微分方程组解的振动的若干充分条件。
Some sufficient conditions are established for the oscillation of systems of parabolic differential equations of neutral type.
在半空间上讨论了一类退缩抛物型方程组解的存在性与爆破性质。
The existence and blow-up of a class degenerate parabolic systems in semi-space is considered.
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.
第一章研究了一类二阶抛物型方程组的一种新数值方法-再生核函数法。
In Chapter One, a new method of approximating the solution of second-order parabolic system using reproducing kernel function is devised.
第二节给出所研究的具有初边值条件的一维抛物型方程组及其离散格式。
Section two gives the notations , lemmas and discrete schemes of the system of parabolic equations.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
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.
考虑一类具有非局部源项的抛物型方程组，首先建立了爆破解的爆破速率估计，并在此基础上给出了爆破解的边界层估计。
In this paper, we deal with a parabolic system with nonlocal sources. To a blow-up solution, we establish its precisely blow-up rate estimation and show its boundary estimation.
文摘：讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题。
Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.
文摘：讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题。
Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.
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