研究了具有非线性反应扩散方程奇摄动内层问题。
The nonlinear singularly perturbed interior layer problems of the reaction diffusion equations were considered.
研究了具有摄动边界的非线性反应扩散方程的问题。
A nonlinear problem for reaction diffusion equation with a perturbed boundary is considered.
广义条件对称；精确解；非线性反应扩散方程；对称群。
The generalized conditional symmetry; Exact solutions; The nonlinear reaction diffusion equations; symmetry group.
对这类现象的描述依赖于对相应反应扩散方程的深入研究。
The description of these phenomena depends on the deepgoing research of the corresponding nonlinear-diffusion equations.
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.
本文研究快速反应扩散方程定解问题解的整体存在唯一性。
This paper is concerned with the global existence and uniqueness of solution fora fast reaction-di? Usion equation with conditions for determining solution.
讨论了一类弱耦合反应扩散方程组的初边值问题的奇摄动。
The singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.
讨论一类在部分区域上的奇摄动反应扩散方程初始边值问题。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
讨论一类在部分区域上的奇摄动反应扩散方程初始边值问题。
A class of singularly peturbed initial boundary value problems for the raction diffusion equations in a part of domain are considered.
本文研究二维常系数反应扩散方程的紧交替方向隐式差分格式。
Secondly, a compact ADI difference scheme is presented by introducing a variable of intermediate value.
讨论了一类具有转向点曲线的奇摄动反应扩散方程初始边值问题。
A class of singularly perturbed reaction diffusion equation initial boundary value problem with a curve of turning point is discussed.
利用反应扩散方程的比较原理给出了系统存在周期解的充分条件。
Firstly sufficient conditions for the existence of periodic solution are obtained by comparison theory of reaction-diffusion differential equations;
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。
Some explicit and exact solutions to nonlinear evolution equations were obtained by the (improved) method.
对一类特殊的非线性反应扩散方程进行完全离散，得到非线性的有限差分格式。
In the article, the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.
本文证明了一类反应扩散方程组初边值问题整体有界广义解的存在性和唯一性。
This paper proves the existence and stability of global bounded generalized solutions of initial boundary value problems for a kind of reaction-diffusion systems.
采用五速正方晶格玻尔兹曼模型，由晶格玻尔兹曼方程推导得到了反应扩散方程。
We proposed a five-speed lattice Boltzmann method to investigate the evolution of the reaction-diffusion system.
在本文中我们提供了几种解决两维反应扩散方程的扩张混合有限元的两层网格方法。
In the paper, we present some two-grid methods for solving two-dimensional reaction-diffusion using expanded mixed finite element method.
把由刘维方程推得的BBGKY方程用于多元系，可导出不可逆化学反应扩散方程。
Applying BBGKY equation obtained from Liouville's equation to a system with many components, the irreversible chemical reaction-diffusion equation can be deduced.
从主要反应式中得到一个反应扩散方程组形式的，描述其自组织过程动力学的数学模型。
A mathematical model, which has the form of reaction-diffusion equations and is describing the dynamics of self-organization process, is established from the main reactions.
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.
研究方向包括时滞微分方程和反应扩散方程理论及其在神经网络和生物动力系统方面的应用。
My current research interests include theory of delay differential equations and reaction-diffusion equations and also their application to neural networks and biological dynamic systems.
生物学、生态学、生物化学等应用领域中的许多模型都可以用非线性时滞反应扩散方程来描述。
Many models in various field of applications, such as biology, ecology and biochemistry, can be described by nonlinear reaction-diffusion equations with time delays.
本文讨论了一类反应扩散方程组解的渐近性质。这类方程组包括传染病理论和燃烧理论中出现的一类方程。
In this paper we study the asymptotic property of solutions of a class of reaction-diffusion systems including those appearing in the theory of epidemics and combustion.
讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性。
The present paper studied the global existence of nonnegative solutions of one-dimensional Newtonian filtration equation with more general boundary fluxes term, reaction, diffusion and convection.
讨论了一类具有超抛物型方程的反应扩散问题。
The reaction diffusion problems with ultra parabolic equations are considered.
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。
A numerical method for the IBV problems of the nonlinear reaction-diffusion equation was described.
引入指数函数，将对流扩散方程变换为扩散反应方程，消除了数值求解中较难处理的对流项。
To eliminate the difficulty in dealing with convection terms, an exponential transformation function is introduced to turn the CDE into their equivalent diffusion-reaction equations (DRE).
将酸蚀蚓孔简化为单圆管模型，酸液流动反应物质平衡方程反应传质和扩散作用。
Acid flow and reaction in a wormhole was studied by modeling the wormhole as a cylinder and numerically solving the mass balance equation that describes acid transport by convection and diffusion.
将酸蚀蚓孔简化为单圆管模型，酸液流动反应物质平衡方程反应传质和扩散作用。
Acid flow and reaction in a wormhole was studied by modeling the wormhole as a cylinder and numerically solving the mass balance equation that describes acid transport by convection and diffusion.
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