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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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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