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

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-01-01 DOI:10.3792/pjaa.96.001

Yutaka Ichida, T. Sakamoto

引用次数: 10

Abstract

: 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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具有负幂非线性的反应扩散方程中具有淬灭的拟行波

: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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.