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

YoonMee Ham

DOI:

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

Published online: 2003-05

Preview Full PDF 0 364
Export citation
  • 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.

  • Keywords

activator-inhibitor van der Pol equation global coupling free boundary problem Hopf bifurcation

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{JPDE-16-135, author = {}, 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} }
Copy to clipboard
The citation has been copied to your clipboard