Existence and uniqueness of the weak solution for Keller-Segel model coupled with Boussinesq equations

• Autorzy: Slimani Ali , Bouzettouta Lamine , Guesmia Amar

Identyfikatory

DOI

10.1515/dema-2021-0027

• Języki publikacji: EN

Abstrakty

EN

Keller-Segel chemotaxis model is described by a system of nonlinear partial differential equations: a convection diffusion equation for the cell density coupled with a reaction-diffusion equation for chemoattractant concentration. In this work, we study the phenomenon of Keller-Segel model coupled with Boussinesq equations. The main objective of this work is to study the global existence and uniqueness and boundedness of the weak solution for the problem, which is carried out by the Galerkin method.

Słowa kluczowe

EN

chemotaxis; Keller-Segel model; global existence; boundedness; Boussinesq equation; Galerkin method

PL

chemotaksja; istnienie globalne; ograniczoność; równanie Boussinesqa-Burgersa; metoda Galerkina

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 558--575
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Slimani Ali

• Department of Mathematics, Laboratory of Applied Mathematics and History and Didactics of Mathematiccs (LAMAHIS), University of 20 August 1955, Skikda, Algeria

autor

Bouzettouta Lamine

• Department of Mathematics, Laboratory of Applied Mathematics and History and Didactics of Mathematiccs (LAMAHIS), University of 20 August 1955, Skikda, Algeria

autor

Guesmia Amar

• Department of Mathematics, Laboratory of Applied Mathematics and History and Didactics of Mathematiccs (LAMAHIS), University of 20 August 1955, Skikda, Algeria

Bibliografia

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