Improved extensibility criteria and global well-posedness of a coupled chemotaxis-fluid model on bounded domains

DOI10.3934/dcdsb.2018119zbMath1406.35271OpenAlexW2796901517MaRDI QIDQ1756862

Jishan Fan, Kun Zhao

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018119

zbMATH Keywords

initial-boundary value problemclassical solutionglobal well-posednessextensibility criteriaNavier-Stokes-Keller-Segel system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items

Blow-up criteria for a Keller-Segel-Navier-Stokes system in a bounded domain, A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid, Global solvability to a 3D chemotaxis-fluid model with matrix-valued supercritical sensitivities, Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes system, Global strong solutions to a coupled chemotaxis-fluid model with subcritical sensitivity, Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source.

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