reaction diffusion equation

Considering a reaction-diffusion equation with non-local boundary conditions in bounded regions, we have found under some conditions the solutions of the equation blow up or exist globally.

考虑在有界区域中非局部边界条件下的一个反应-扩散方程，在一定条件下，该方程的解整体存在或有限时刻爆破。

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In this thesis, taking one dimension evolution reaction diffusion equation as a model, we systematically study the flux recovery methods taking integral form for evolution problems. The semi-discrete and total discrete schemes will be provided respectively.

本文以一维发展型反应扩散方程为模型，系统研究发展型问题积分形式的流量重构算法。我们将分别研究半离散和全离散的计算格式。

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Wavelet-Galerkin method for the reaction-diffusion equation

求解反应扩散问题的Wavelet-Galerkin方法

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Reaction diffusion equation with delays is a class of abstract functional differential equations, it is widely applied in many areas.

时滞反应扩散方程是抽象的泛函微分方程中的一类，它在很多领域有着广泛的应用。

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In this paper, the unstable interior diffusion equation with precise solution of flaky pellet and the macroscopic reaction rate equation are given.

文章给出了薄片颗粒的不稳定内扩散方程及其精确解，并导出了宏观反应速率方程。

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The Analytical Solution for Sediment Reaction and Diffusion Equation With Generalized Initial-Boundary Conditions

泥沙反应扩散广义初边值问题的解析解

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A singularly perturbed initial boundary value problem with nonlocal reaction diffusion equation

具有非局部反应扩散方程的奇摄动初始边值问题

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Analytical solution of fractional reaction diffusion equation in finite fractal media

有限分形介质中分数阶反应扩散方程及其解析解

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Using this method and Wu elimination method, many new explicit and exact travelling wave solution are obtained to a class of reaction diffusion equation.

用这种方法和吴消元法，得到一类反应扩散方程的许多显式和精确行波解。

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The Global Stability of a Class of Boundary Value Problems of Periodic Reaction Diffusion Equation

一类周期反应扩散方程边值问题的全局稳定性

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A simple transformation, hyperbolic function method and exact solution for a class of reaction diffusion equation

一个简单的变换，双曲函数法和一类反应扩散方程的精确解

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Travelling wavefront solutions of discrete reaction diffusion equation

离散的反应扩散方程的波前解

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Generalized master equation for the nonextensive reaction-diffusion systems

非广延反应扩散系统的广义主方程

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Many natural phenomena and physical laws can be described by time dependent nonlinear differential equations, such as heat conduction equation, sound wave and elastic wave equation, reaction diffusion and convection diffusion equation, fluid and aerodynamics equations, etc.

大多数的自然现象与物理规律都可归结为与时间相关的非线性偏微分方程，诸如热传导方程、声波与弹性波方程、反应扩散与对流扩散方程、流体与气体力学方程组等发展方程。

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The long time behavior of the spectral approximation of a reaction-diffusion equation on the whole line

全直线上反应-扩散方程谱逼近的大时间性态

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Existence and Uniqueness of Periodic Solution of Reaction-diffusion Equation with Discrete Time Delays

含时滞反应扩散方程周期解的存在唯一性

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Rotating waves in excitable media described by simplified Hodgkin Huxley reaction diffusion equation

简化Hodgkin-Huxley反应-扩散方程描述的可激活介质中的旋转波

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A numerical method for the IBV problems of the nonlinear reaction-diffusion equation was described.

本文讨论了求非线性反应&扩散方程初边值问题数值解的一种方法。

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The reaction diffusion equation is generalized in gravitational and nonisothermal system.

将反应扩散方程推广到存在引力的非等温系统。

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Reaction diffusion equation in a non isothermal system affected by electrical field and stability of CNO cycle

存在电场的非等温系统反应扩散方程和CNO循环的稳定性分析

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Approximate Inertial Manifold for Nonautonomous Reaction Diffusion Equation

非自治反应扩散方程的逼近惯性流形

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Time-fractional order reaction-diffusion equation was considered, which obtained from the standard reaction-diffusion equation by replacing the first-order time derivative by a fractional derivation of order α( 0 < α < 1).

考虑时间分数阶反应-扩散方程，它是从标准的反应-扩散方程中用分数阶导数α（0

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Travelling wave solution and its stability of reaction diffusion like dynamic equation followed by the growth of single Bacillus population

单种群杆菌生长反应扩散型动力学方程的行波解及其稳定性分析

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On the basis of the wave equation, the amplitude equation of hyperbolic reaction diffusion equation for glycolysis model is derived by using perturbation theory, and it brings the theoretical basis for numerical studies.

在波动方程基础上，利用微扰理论求得糖酵解模型（修正Selkov模型）双曲型反应－扩散方程的振幅方程，为数值研究提供了理论根据。

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Except the density waves which is obtainable from the usual reaction diffusion equation and multiwave solutions, it is not possible to obtain any fluctuation wave branch like that given in ref. [ 2].

除了可以由反应扩散方程得到的密度波以及由之耦合而成的多波解外，不可能得到类似于文献[2]中得到的涨落波分支。

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In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation ( 2.4) by utilizing the group foliation method.

在第二章中我们主要利用群分支法来求解非线性扩散方程（2.4）的分离变量解。

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The Periodic Solution for a Periodic Nonlinear Reaction Diffusion Equation with Time Delay

一个带时滞的周期非线性反应扩散方程的周期解

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Control Equations of a Reaction Diffusion Equation and Their Applications

扩散反应方程的控制方程及其应用

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Asymptotic Behavior of Periodic Solutions of Reaction-Diffusion Equation with Nonlocal Boundary Value Conditions

带非局部边值条件的周期反应扩散方程解的渐近性态

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In this paper we consider the initial-boundary value problems of a class of general singularly perturbed delay reaction diffusion equation met often in the applied problems, such as biomathematics and biochemistry.

本文考虑了在生物数学、生物化学等应用问题中常见的较广泛的一类奇摄动时滞反应扩散方程初边值问题。

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