Existence and decay of global smooth solutions to the coupled chemotaxis-fluid model

DOI10.1016/J.JMAA.2015.02.023zbMath1346.35150OpenAlexW1968511129MaRDI QIDQ907705

Xia Ye

Publication date: 26 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.023

zbMATH Keywords

monotonicitychemotaxisglobal existenceNavier-Stokes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Suspensions (76T20) Cell movement (chemotaxis, etc.) (92C17)

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Temporal decay in negative Besov spaces for the 3D coupled chemotaxis-fluid equations ⋮ The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system ⋮ Global existence in critical Besov spaces for the coupled chemotaxis-fluid equations ⋮ On a distributed control problem for a coupled chemotaxis-fluid model ⋮ Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity ⋮ Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model ⋮ Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities ⋮ Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case ⋮ Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen ⋮ On a Keller-Segel-Stokes system with logistic type growth: blow-up prevention enforced by sublinear signal production

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