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

Autor:	Slimani Ali, Bouzettouta Lamine, Guesmia Amar
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	chemotaxis keller-segel global existence boundedness boussinesq equations galerkin method 92c17 35k58 82c22 Mathematics QA1-939
Zdroj:	Demonstratio Mathematica, Vol 54, Iss 1, Pp 558-575 (2021)
Druh dokumentu:	article
ISSN:	2391-4661 2021-0027
DOI:	10.1515/dema-2021-0027
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3bbff3af6fab45349f6e2e7223c3c3dd Zobrazit plný text záznamu View record in DOAJ