@Article{JPDE-16-135,
author = {YoonMee Ham },
title = {Global Coupling of an Interface Problem in an Activator-inhibitor System},
journal = {Journal of Partial Differential Equations},
year = {2003},
volume = {16},
number = {2},
pages = {135--147},
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.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5412.html}
}