Global Existence and Asymptotic Behavior for a Reaction-Diffusion System with Unbounded Coefficients

被引：0

作者：

Majdoub, Mohamed ^{[1
,2
]}

Tatar, Nasser-Eddine ^{[3
]}

机构：

[1] Imam Abdulrahman Bin Faisal Univ, Coll Sci, Dept Math, POB 1982, Dammam, Saudi Arabia

[2] Imam Abdulrahman Bin Faisal Univ, Basic & Appl Sci Res Ctr, POB 1982, Dammam 31441, Saudi Arabia

[3] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Intelligent Mfg & Robot, Dept Math, Dhahran 31261, Saudi Arabia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 04期

关键词：

Analytic semi-group; exponential decay; fractional operator; reaction-diffusion system; sectorial operator;

D O I：

10.1007/s00009-023-02394-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a reaction-diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of reaction-diffusion equations with unbounded time-dependent coefficients and different polynomial reaction terms. An exponential decay of the globally bounded solutions is proved. The key tool of the proofs are properties of analytic semigroups and some inequalities.

引用

页数：16

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