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.

Copyright © 2020 The Japan Academy
Yu Ichida and Takashi Okuda Sakamoto "Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity," Proceedings of the Japan Academy, Series A, Mathematical Sciences 96(1), 1-6, (January 2020). https://doi.org/10.3792/pjaa.96.001
Published: January 2020
Vol.96 • No. 1 • January 2020
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