Dynamics of an interior spike in the Gierer-Meinhardt system

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 1, 2001, Pages 172-193

  Chen, Xinfu ^a   Kowalczyk, Michał ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Activator inhibitor reaction; Gierer Meinhardt system; Spike dynamics; Spikes

Indexed keywords

EID: 0035527617     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099364954     Document Type: Article

References (21)

1. Slow dynamics for the Cahn-Hilliard equation in higher space dimensions, I: Spectral estimates
2. Slow dynamics for the Cahn-Hilliard equation in higher space dimensions, II: The motion of bubbles
3. Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system
4. 3 = 0 and a variational characterization of other solutions
5. A theory of biological pattern formation
6. A metastable spike solution for a nonlocal reaction-diffusion model
7. The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
8. N
9. N
10. Large amplitude stationary solutions to a chemotaxis system
11. Diffusion, cross-diffusion, and their spike-layer steady states
12. On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type
13. On the shape of least, energy solutions to a semilinear Neumann problem
14. Locating the peaks of least-energy solutions to a semilinear Neumann problem
15. Stability analysis of point condensation solutions to a reaction-diffusion system
16. N
17. On single interior spike solutions of Gierer-Meinhardt system: Uniqueness and spectrum estimates
18. Spikes for the two-dimensional Gierer-Meinhardt system: Strong coupling
19. Uniqueness of ground state solutions