The Phenomenon of Quenching for a Reaction-Diffusion System with Non-Linear Boundary Conditions

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2021-01-28 DOI:10.18311/JIMS/2021/26056

H. Nachid, F. K. N'Gohisse, N’guessan Koffi

引用次数: 0

Abstract

We study the quenching behavior of the solution of a semi- linear reaction-diffusion system with nonlinear boundary conditions. We prove that the solution quenches in finite time and its quenching time goes to the one of the solution of the differential system. We also obtain lower and upper bounds for quenching time of the solution.

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具有非线性边界条件的反应扩散系统的猝灭现象

研究了一类具有非线性边界条件的半线性反应扩散系统解的猝灭行为。我们证明了该解在有限时间内猝灭，其猝灭时间为微分系统解的猝灭时间。我们还得到了溶液淬火时间的上界和下界。

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

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.