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

DOI10.1515/DEMA-2021-0027zbMath1483.92034OpenAlexW4210354318MaRDI QIDQ2075496

Lamine Bouzettouta, Amar Guesmia, Ali Slimani

Publication date: 14 February 2022

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2021-0027

zbMATH Keywords

Galerkin methodboundednesschemotaxisglobal existenceBoussinesq equationsKeller-Segel

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58)

Related Items (2)

Global existence and asymptotic behavior for a reaction-diffusion system with unbounded coefficients ⋮ Nonexistence criteria for a generalized Boussinesq-type equation in bounded and unbounded domains

Cites Work

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• Finite-time aggregation into a single point in a reaction - diffusion system
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Global Solutions to the Coupled Chemotaxis-Fluid Equations

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