| FullText URL | |
| Author |
Nagashima, Satomu
Graduate School of Environmental, Life, Natural Science and Technology, Okayama University
Taniguchi, Masaharu
Research Institute for Interdisciplinary Science, Advanced Research Field, Okayama University
ORCID
Kaken ID
publons
researchmap
Taylor, George
Graduate School of Environmental, Life, Natural Science and Technology, Okayama University
|
| Abstract | 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.
|
| Keywords | Traveling front
V-form
Reaction–diffusion equation
|
| Published Date | 2026-10-15
|
| Publication Title |
Partial Differential Equations and Applications
|
| Volume | volume7
|
| Issue | issue6
|
| Publisher | Springer Science and Business Media LLC
|
| Start Page | 48
|
| ISSN | 2662-2963
|
| Content Type |
Journal Article
|
| language |
English
|
| OAI-PMH Set |
岡山大学
|
| Copyright Holders | © The Author(s) 2026
|
| File Version | publisher
|
| DOI | |
| Related Url | isVersionOf https://doi.org/10.1007/s42985-026-00410-0
|
| License | https://creativecommons.org/licenses/by-nc-nd/4.0/
|
| Citation | Nagashima, S., Taniguchi, M. & Taylor, G. A simple proof for the existence of V-form fronts in reaction–diffusion equations. Partial Differ. Equ. Appl. 7, 48 (2026). https://doi.org/10.1007/s42985-026-00410-0
|
| 助成情報 |
26K06866:
反応拡散方程式における(n+1)次元進行波とn次元全域解の関係解明とその応用
( 独立行政法人日本学術振興会 / Japan Society for the Promotion of Science )
22K03288:
伸び縮みの性質を持つ素材に対する折り紙を数学的に定式化することは可能か?
( 独立行政法人日本学術振興会 / Japan Society for the Promotion of Science )
( 国立大学法人岡山大学 / Okayama University )
|