单侧和双侧条件下反应扩散系统的临界点

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-2-173

Jan Eisner, Jan Žilavý

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引用次数: 0

摘要

．我们展示了所谓临界点的位置，即扩散系数对，在具有Neumann边界条件和附加非线性单边条件的区间上，在边界和/或内部的一个或两个点上存在激活剂-抑制剂型线性反应-扩散系统的非平凡解。同时，我们展示了这些解决方案的概况。

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Critical points for reaction-diffusion system with one and two unilateral conditions

. We show the location of so called critical points , i.e., couples of diffusion coefficients for which a non-trivial solution of a linear reaction-diffusion system of activator-inhibitor type on an interval with Neumann boundary conditions and with additional non-linear unilateral condition at one or two points on the boundary and/or in the interior exists. Simultaneously, we show the profile of such solutions.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.