本文考虑带非线性边界条件的反应扩散方程组的爆破速率。
This paper studies the blow-up rate for reaction-diffusion systems with nonlinear boundary conditions.
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.
研究在外部区域中拟线性椭圆型方程，具有非线性边界条件的边值问题。
This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.
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.
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.
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.
讨论一类带有非线性边界条件的拟线性反应扩散方程组，给出了解整体存在的充分必要条件。
The necessary and sufficient conditions are discussed on the existence of global solutions for quasilinear reaction-diffusion systems with nonlinear boundary conditions.
讨论带有非线性边界条件的快扩散与慢扩散耦合的方程组，给出了解整体存在的充分必要条件。
In this paper the global solutions and blow-up problems are studied for the fast-slow diffusion systems with nonlinear boundary conditions.
提出了一种基于有限体积法预测非线性边界条件下多层多孔介质内的传热传湿过程的数值分析方法。
A numerical approach based on finite volume method is proposed to study the procedure of coupled heat and moisture transfer in multilayered porous media under nonlinear boundary conditions.
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.
利用变形边界函数法与上下解方法，研究了一类具非线性边界条件的半线性时滞微分方程边值问题，得到了此边值问题解的存在性的充分条件。
The asymptotic behavior for a class of higher-order delay partial differential equations be investigated in this paper, some asymptotic behavior be established, which expanded some references.
同时，我们详细研究了两类扩散方程的差分格式，讨论了处理各类边界条件的方法，以及处理非线性扩散的方法。
Moreover, we study numerical methods for two kinds of diffusion equations, and discuss how to deal with numerically different boundary conditions and the nonlinear diffusion.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
建立了各种边界条件下考虑井筒储存效应和表皮效应的非线性不稳定渗流数学模型，并用数值法对其求解。
The nonlinear mathematical models with wellbore storage and skin effects under several boundary conditions were established and solved by using numerical methods.
本文介绍了气动声学数值计算的方法和有关的问题、边界条件的处理以及计算非线性声波的数值方法和进展。
In this paper, the numerical methods, issues and development for aeroacoustics, were described, including finite difference scheme, boundary conditions and nonlinear acoustics and shocks.
利用能量法证明了具耗散边界条件和时间依赖系数的非线性波方程的能量指数衰减性。
By using the perturbed-energy method, the exponential decay of the solution is obtained for the nonlinear wave equations with time-dependent coefficients and dissipative boundary condition.
由于方程的非线性及复杂的边界条件，目前不能获得这一方程的精确解析解。
Due to the nonlinearity of the equation and the complexity of the boundary conditions the exact analytical solution of the equation can not be found.
考虑到非线性的自由液面边界条件，用下潜涡环栅格法求解水翼绕流问题。
The nonlinear free surface boundary condition is considered and the hydrodynamics forces of the hydrofoil near the free surface are calculated by the submerged vortex lattice method.
计算模型考虑了土体非线性、孔隙水压力的变化以及模型边界条件的处理等。
Soil nonlinearity, pore water pressure build-up process and boundary condition of the model are taken into account in the calculation model.
该方法充分考虑了主轴支承边界条件和有关载荷方面的特点，特别是考虑了由于主轴的垂直安装引起的油膜力的非线性。
This method takes fully into account the characteristics of supports and loads, deals especially with the nonlinearity of oil film force of guide bearing caused by vertical arrangement of spindle.
探讨了热传导方程在非局部时间边界条件下非线性热源反演的唯一性问题。
This paper deals with uniqueness of inversion of the nonlinear source term in heat equation with a class of nonlocal boundary of time.
为此，需求解一个在给定边界条件下的非线性方程。
For the above case, a nonlinear equation and corresponding boundary conditions are given.
本文对极正交各向异性圆板在任意轴对称载荷和边界条件下的非线性弯曲问题进行了较为系统的研究。
This paper presents a systematical investigation of the nonlinear bending of polar orthotropic circular plates under arbitrarily axisymmetric loads and a variety of boundary conditions.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
其中不少问题是非线性的，如带自由面的流动区域，边界条件即呈非线性。
Some engineering problems, especially those involving fluid free surface, are nonlinear in boundary conditions.
研究表明，对于一些相对简单的边界条件，通过李群变换的方法可以得到非线性固结方程的完整解析解。
It is shown that for some relatively simple conditions, exact analytical solutions of the non linear consolidation equation can be obtained by using the approach of the transformation of Lie group.
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。
Sufficient conditions are obtained for oscillation of certain nonlinear delay parabolic equation under Robin Boundary condition (RBC).
在所采用的数学模型中，用增量叠代法处理边界条件非线性、物理参数非线性、相变潜热非线性等复杂问题。
In the mathematical model, the incremental iteration method is used to deal with such complicated nonlinear as boundary nonlinear, physical property nonlinear, transformation nonlinear etc.
对同时具有几何非线性、材料非线性和边界条件非线性的结构动力分析问题的并行性进行了讨论。
This paper analyzes the parallelism of dynamic structural analyses with geometric nonlinearities, material nonlinearities and nonlinear boundary conditions.
对同时具有几何非线性、材料非线性和边界条件非线性的结构动力分析问题的并行性进行了讨论。
This paper analyzes the parallelism of dynamic structural analyses with geometric nonlinearities, material nonlinearities and nonlinear boundary conditions.
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