http://swrc.ontoware.org/ontology#UnrefereedArticle
Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensions
en
Taniguchi Masaharu
Bifurcation from equilibrium solutions to reaction diffusion systems is considered in a two-dimensional domain. This solution has an internal transition layer that forms a flat interface. If the length of the interface in the tangential direction is small enough, the equilibrium solution is stable, but it is unstable if the length is larger than some critical value. In this paper, it is shown that bifurcation occurs at this critical length. We construct the bifurcating solutions and discuss their stability. Numerical results suggest that the bifurcation is subcritical.
Journal of mathematical sciences, the University of Tokyo
1
2
339-367
1994
13405705
AA11021653
application/pdf
415
Graduate School of Mathematical Sciences, The University of Tokyo