A simple proof for the existence of V-form fronts in reaction–diffusion equations
This paper studies V-form traveling fronts to a bistable reaction–diffusion equation. V-form traveling fronts have been studied so far for many reaction–diffusion equations. The proof of its existence is often based on the multi-scale method. In this paper we present a new simple proof for the existence of V-form traveling fronts based on estimates by inscribed balls.
Authors
- Masaharu Taniguchi (ORCID: https://orcid.org/0000-0002-2002-7572)
- George Taylor
- Satomu Nagashima
Institutions
- Okayama University (JP)
- National Institute of Technology, Oshima College (JP)
Publication Details
- Journal
- Partial Differential Equations and Applications
- Published
- 2026-10-15
- DOI
- https://doi.org/10.1007/s42985-026-00410-0
- Primary Topic
- Nonlinear Dynamics and Pattern Formation
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science