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强耦合反应扩散方程组的定性分析
引用本文:江成顺,廉玉忠,余昭平.强耦合反应扩散方程组的定性分析[J].数学进展,2002,31(5):433-442.
作者姓名:江成顺  廉玉忠  余昭平
作者单位:信息工程大学应用数学系,郑州,河南,450002,中国
基金项目:Project supported by NSFC(No.19871051,No.19601038),the Outstanding Young People SF of Henan Province(No.0016),the NSF of Henan Province(No.004052000).
摘    要:本文研究由四个反应扩散方程组成的强耦合方程组,利用算子半群理论,上、下解方法和能量积分等经典分析方法,论证此类方程组的整体解的存在唯一性和有界性。

关 键 词:强耦合反应扩散方程组  定性分析  整体有界解  半群理论

Qualitative Analysis for a Strongly Copuled Reaction-Diffusion System
Jiang Chengshun Lian Yuzhong Yu Zhaoping\Dept. of Applied Math.,Univ. of Information Engineering,Zhengzhou,Henan,P. R. China.Qualitative Analysis for a Strongly Copuled Reaction-Diffusion System[J].Advances in Mathematics,2002,31(5):433-442.
Authors:Jiang Chengshun Lian Yuzhong Yu Zhaoping\Dept of Applied Math  Univ of Information Engineering  Zhengzhou  Henan    P R China
Institution:Jiang Chengshun1 Lian Yuzhong2 Yu Zhaoping\Dept. of Applied Math.,Univ. of Information Engineering,Zhengzhou,Henan,450002,P. R. China)
Abstract:This paper deals with a strongly coupled system that consists of four reaction-diffusion equations. The existence, uniqueness and boundedness of the global solutions are proved by using the classical analysis and methods, such as semigroup theorey, upper-lower solutions method and energy integral.
Keywords:strongly couped reaction-diffusion system  global bounded solution  semigroup theory  upper and lower solutions
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