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

Iqbal M. Batiha; Nabila Barrouk; Adel Ouannas; Abdulkarim Farah

doi:10.14317/jami.2023.893

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

Iqbal M. Batiha
, Nabila Barrouk
, Adel Ouannas
, Abdulkarim Farah

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Souk Ahras Mohamed Chérif Messaadia
University of Oum El Bouaghi
Al-Isra Private University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 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.

Original language	English
Pages (from-to)	893-906
Number of pages	14
Journal	Journal of Applied Mathematics and Informatics
Volume	41
Issue number	4
DOIs	https://doi.org/10.14317/jami.2023.893
State	Published - 2023

Keywords

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

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10.14317/jami.2023.893

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

abstract = "In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 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.",

keywords = "Semigroups, global solution, invariant regions, local solution, matrices of diffusion, reaction-diffusion systems",

author = "Batiha, \{Iqbal M.\} and Nabila Barrouk and Adel Ouannas and Abdulkarim Farah",

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year = "2023",

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AU - Barrouk, Nabila

AU - Ouannas, Adel

AU - Farah, Abdulkarim

PY - 2023

Y1 - 2023

N2 - In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 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.

AB - In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 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.

KW - Semigroups

KW - global solution

KW - invariant regions

KW - local solution

KW - matrices of diffusion

KW - reaction-diffusion systems

UR - https://www.scopus.com/pages/publications/85167715917

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DO - 10.14317/jami.2023.893

M3 - Article

AN - SCOPUS:85167715917

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SP - 893

EP - 906

JO - Journal of Applied Mathematics and Informatics

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IS - 4

ER -

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

Abstract

Keywords

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