Mar, 2012
MULTI-DIMENSIONAL TRAVELING FRONTS IN BISTABLE REACTION-DIFFUSION EQUATIONS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Volume
- 32
- Number
- 3
- First page
- 1011
- Last page
- 1046
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.3934/dcds.2012.32.1011
- Publisher
- AMER INST MATHEMATICAL SCIENCES
This paper studies traveling front solutions of convex polyhedral shapes in bistable reaction-diffusion equations including the Allen-Cahn equations or the Nagumo equations. By taking the limits of such solutions as the lateral faces go to infinity, we construct a three-dimensional traveling front solution for any given g is an element of C-infinity (S-1) with min(0 <=theta <= 2 pi) g(theta) = 0.
- Link information
- ID information
-
- DOI : 10.3934/dcds.2012.32.1011
- ISSN : 1078-0947
- Web of Science ID : WOS:000296916200014