Work

A simple proof for the existence of V-form fronts in reaction–diffusion equations

Year: 2026

Type: article

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.

Source: Partial Differential Equations and Applications

DOI: 10.1007/s42985-026-00410-0

Authors: Satomu Nagashima, Masaharu Taniguchi, George Taylor

Institutions: Okayama University, National Institute of Technology, Oshima College

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Japan Society for the Promotion of Science