| Asymptotic Speed of Wave Propagation for A Discrete Reaction-Diffusion Equation |
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| 作者姓名： | Xiu-xiang Liu Pei-xuan Weng |
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| 作者单位： | School of Mathematics Science, South China Normal University, Guangzhou 510631, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No.10571064）, and Natural Science Foundation of Guangdong Province of China （No.04010364） |
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| 摘 要： | We deal with asymptotic speed of wave propagation for a discrete reactlon-diffusion equation. We find the minimal wave speed c★ from the characteristic equation and show that c★ is just the asymptotic speed of wave propagation. The isotropic property and the existence of solution of the initial value problem for the given equation are also discussed.
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| 关 键 词： | 离散反作用-扩散方程 行波解 单调迭代 渐近速率 |
| 收稿时间： | 2003-02-13 |
| 修稿时间： | 2003-02-132006-02-26 |
Asymptotic Speed of Wave Propagation for A Discrete Reaction-Diffusion Equation |
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| Xiu-xiang Liu Pei-xuan Weng.Asymptotic Speed of Wave Propagation for A Discrete Reaction-Diffusion Equation[J].Acta Mathematicae Applicatae Sinica,2006,22(3):369-386. |
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| Authors: | Xiu-xiang Liu Pei-xuan Weng |
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| Institution: | (1) School of Mathematics Science, South China Normal University, Guangzhou, 510631, China |
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| Abstract: | Abstract
We deal with asymptotic speed of wave propagation for a discrete reaction-diffusion equation. We find the minimal wave speed
c
* from the characteristic equation and show that c
* is just the asymptotic speed of wave propagation. The isotropic property and the existence of solution of the initial value
problem for the given equation are also discussed.
Supported by the National Natural Science Foundation of China (No.10571064), and Natural Science Foundation of Guangdong Province
of China (No.04010364). |
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| Keywords: | Discrete reaction-diffusion equation travelling wave solutions monotone iteration asymptotic speed of wave propagation isotropic property |
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