Papers

Peer-reviewed
Mar, 2012

MULTI-DIMENSIONAL TRAVELING FRONTS IN BISTABLE REACTION-DIFFUSION EQUATIONS

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Masaharu Taniguchi

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
DOI
https://doi.org/10.3934/dcds.2012.32.1011
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000296916200014&DestApp=WOS_CPL
ID information
  • DOI : 10.3934/dcds.2012.32.1011
  • ISSN : 1078-0947
  • Web of Science ID : WOS:000296916200014

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