Open Access
January 2020 Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity
Yu Ichida, Takashi Okuda Sakamoto
Proc. Japan Acad. Ser. A Math. Sci. 96(1): 1-6 (January 2020). DOI: 10.3792/pjaa.96.001

Abstract

The quasi traveling waves with quenching of $u_{t} = u_{xx} + (1-u)^{-\alpha}$ for $\alpha \in 2 \mathbf{N}$ are considered. The existence of quasi traveling waves with quenching and their quenching rates are studied by applying the Poincaré compactification.

Citation

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Yu Ichida. Takashi Okuda Sakamoto. "Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity." Proc. Japan Acad. Ser. A Math. Sci. 96 (1) 1 - 6, January 2020. https://doi.org/10.3792/pjaa.96.001

Information

Published: January 2020
First available in Project Euclid: 25 December 2019

zbMATH: 07192780
MathSciNet: MR4047569
Digital Object Identifier: 10.3792/pjaa.96.001

Subjects:
Primary: 34C05 , 34C08 , 35C07

Keywords: Poincaré compactification , Quasi traveling wave with quenching

Rights: Copyright © 2020 The Japan Academy

Vol.96 • No. 1 • January 2020
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