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

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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.

作者 YoonMeeHam

机构地区 DepartmentofMathematics

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）

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—基础数学] O175.8 [理学—基础数学]

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Journal of Partial Differential Equations

2003年第2期

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

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