Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Barrouk Nabila; Abdelmalek Karima

doi:10.1515/dema-2023-0122

Demonstratio Mathematica (Oct 2024)

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Barrouk Nabila,
Abdelmalek Karima

Affiliations

Barrouk Nabila: Department of Mathematics, Faculty of Science and Technology, Mohamed Cherif Messaadia University, B.P. 1553 Souk Ahras 41000, Algeria
Abdelmalek Karima: Department of Mathematics, Faculty of Science and Technology, Mohamed Cherif Messaadia University, B.P. 1553 Souk Ahras 41000, Algeria

DOI: https://doi.org/10.1515/dema-2023-0122
Journal volume & issue: Vol. 57, no. 1
pp. 827 – 868

Abstract

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The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates. We show that global solutions exist. Our investigation can be applied for a wide class of nonlinear terms of reaction.

Published in Demonstratio Mathematica

ISSN: 2391-4661 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/dema/html

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