Existence and uniqueness of the weak solution for Keller-Segel model coupled with Boussinesq equations-Reference-Cited by-同舟云学术

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

Published:2021-01-01 Issue:1 Volume:54 Page:558-575
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Slimani Ali¹,Bouzettouta Lamine¹,Guesmia Amar¹

Affiliation:

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

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2021-0027/pdf

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