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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
File Version
publisher
DOI
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
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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 )