Abstract
In this paper we consider the stationary problem for a reaction-diffusion system of activator-inhibitor type, which models biological pattern formation, in an axially symmetric domain. It is shown that the system has multi-peak stationary solutions such that the activator is localized around some boundary points if the activator diffuses very slowly and the inhibitor diffuses rapidly enough.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 327-365 |
| Number of pages | 39 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 12 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1995 |
Keywords
- point-condensation phenomenon
- reaction-diffusion system
- semilinear Neumann problem
- singular perturbation