Boundedness in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation

DOI10.3934/dcdsb.2018209zbMath1404.35228OpenAlexW2810608562MaRDI QIDQ1755942

Pan Zheng, Dan Li, Ke Lin, Chun-Lai Mu

Publication date: 11 January 2019

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.2018209

zbMATH Keywords

boundednessnonlinear diffusionlogistic sourcetensor-valued sensitivitychemotaxis-Stokes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (6)

Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Asymptotic behavior of classical solutions of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Eventual smoothness and stabilization of renormalized radial solutions in a chemotaxis consumption system with bounded chemotactic sensitivity ⋮ Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization ⋮ On a Keller-Segel-Stokes system with logistic type growth: blow-up prevention enforced by sublinear signal production ⋮ Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux

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