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VOL. 85 | 2020 Traveling fronts in balanced bistable reaction-diffusion equations
Masaharu Taniguchi

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

Abstract

This paper is an announcement of a forthcoming paper [21]. We study axially asymmetric traveling fronts to reaction-diffusion equations with balanced bistable nonlinear terms. We prove such a solution as the balanced limit of a pyramidal traveling front of an imbalanced bistable reaction-diffusion equation by preserving the ratio of a major axis and a minor axis of the cross section to be a constant. When the constant ratio is not one, the limit functions become axially asymmetric traveling fronts to balanced bistable reaction-diffusion equations.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510417

Subjects:
Primary: 35B20, 35C07, 35K57

Rights: Copyright © 2020 Mathematical Society of Japan

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