GLOBAL COUPLING OF AN INTEREFACE PROBLEM IN AN ACTIVATIOR—INHIBITOR SYSTEM  

作　　者：YoonMeeHam 

机构地区：[1]DepartmentofMathematics,KyonggiUniversity,Suwon,442-760Korea

出　　处：《Journal of Partial Differential Equations》2003年第2期135-147,共13页偏微分方程（英文版）

摘　　要：An activatior-inhibitor reaction system with global coupling was intro-duced in [1],The authors showed that global coupling suppresses the breathing motion and enhances the propagation of the localized solution.The collision between two trav-eling waves for a sufficiently strong global coupling is discussed in [2].If the width of layers is infinitesimally thin,the equation of motion for a pair of the interfaces is derived.We shall study the dynamics of interfaces in the free boundary problem with global coupling and with a strong global coupling.

关 键 词：全局耦合 活化-抑制系统 界面 自由边界问题 “von der Pol方程” HOPF分歧 NEUMANN边界 动力学 解 正则性 半群法 平稳状态 

分 类 号：O175.2[理学—数学] O175.8[理学—基础数学]