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

• Autorzy: Barrouk Nabila , Abdelmalek Karima

Identyfikatory

DOI

10.1515/dema-2023-0122

• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

global solution; semigroups; local solution; reaction-diffusion systems

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230122
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Barrouk Nabila

• Department of Mathematics, Faculty of Science and Technology, Mohamed Cherif Messaadia University, B.P. 1553 Souk Ahras 41000, Algeria

autor

Abdelmalek Karima

• Department of Mathematics, Faculty of Science and Technology, Mohamed Cherif Messaadia University, B.P. 1553 Souk Ahras 41000, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).