具有负幂非线性的反应扩散方程中具有淬灭的拟行波

Pub Date : 2020-01-01 DOI:10.3792/pjaa.96.001

Yutaka Ichida, T. Sakamoto

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引用次数: 10

摘要

:考虑了(cid:2) 2 N的准行波为u t¼u xx þ ð 1 (cid:3) u Þ (cid:3) (cid:2)。应用庞加莱紧化研究了具有淬灭性的准行波的存在性及其淬灭速率。

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Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity

: The quasi traveling waves with quenching of u t ¼ u xx þ ð 1 (cid:3) u Þ (cid:3) (cid:2) for (cid:2) 2 2 N are considered. The existence of quasi traveling waves with quenching and their quenching rates are studied by applying the Poincare´ compactiﬁcation.

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