Volume 16, Issue 2
Global Coupling of an Interface Problem in an Activator-inhibitor System

YoonMee Ham

J. Part. Diff. Eq., 16 (2003), pp. 135-147.

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  • Abstract

An activator-inhibitor reaction system with global coupling was introduced in [1]. The authors showed that global coupling suppresses the breathing motion and enhances the propagation of the localized solution. The collision between two traveling 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.

  • History

Published online: 2003-05

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