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

article

Yu Ichida¹  Takashi Okuda Sakamoto¹ 

[1]Graduate School of Science and Technology, Meiji University

关键词: Quasi traveling wave with quenching;    Poincare´ compactification.;   

DOI  :  10.3792/pjaa.96.001

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown