一类具有跳跃层的非线性反应扩散系统的渐近行为(英文)  

Asymptotic Behavior for a Class of Nonlinear Reaction Diffusion System With Jump Layer

作　　者：莫嘉琪[1] 张伟江[2] 陈贤峰[2] 

机构地区：[1]安徽师范大学数学系 [2]海交通大学数学系

出　　处：《数学进展》2007年第5期631-636,共6页Advances in Mathematics（China）

基　　金：Supported by the NSFC(No.40676016 and No.10471039);in part by E-Institutes of Shanghai Municipal Education Commission(No.E03004)

摘　　要：讨论了一类具有跳跃层的反应扩散系统.首先,求出了问题的外部解.其次,引入伸长变量,构造了跳跃层校正项.最后,利用微分不等式理论,得到了原问题解的一致有效的渐近展开式.从而研究了相应问题的解的渐近性态.A class of reaction diffusion system with jump layer is considered. Firstly, the outer solution is solved. Secondly, introducing a stretched variable, the corrective terms of jump layer is constructed. Finally, using the theory of differential inequality, the uniformly valid asymptotic expansions of solution for the original problem are obtained. Then the asymptotic behavior of solution for the corresponding problem is studied.

关 键 词：反应扩散 跳跃层 渐近性态 非线性 渐近行为 

分 类 号：O175.2[理学—数学]