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.
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页码：893 / 906
页数：14
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