A STUDY ON INVARIANT REGIONS, EXISTENCE AND UNIQUENESS OF THE GLOBAL SOLUTION FOR TRIDIAGONAL REACTION-DIFFUSION SYSTEMS

被引：3

作者：

Batiha, Iqbal M. ^{[1
,2
]}

Barrouk, Nabila ^{[3
]}

Ouannas, Adel ^{[4
]}

Farah, Abdulkarim ^{[5
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, Amman 11733, Jordan

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[3] Mohamed Cherif Messaadia Univ, Dept Math & Informat, Souk Ahras 41000, Algeria

[4] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria

[5] Isra Univ, Dept Math, Amman, Jordan

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2023年 / 41卷 / 04期

关键词：

Semigroups; local solution; global solution; reaction-diffusion systems; invariant regions; matrices of diffusion;

D O I：

10.14317/jami.2023.893

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 x 3 reaction-diffusion systems with the total mass of the components with time. We also suppose that the nonlinear reaction term has a critical growth with respect to the gradient. The technique that we used to prove the global existence is the method of the compact semigroup.

引用

页码：893 / 906

页数：14

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