Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity

DOI10.1016/j.jmaa.2017.12.048zbMath1390.35381OpenAlexW2778334512MaRDI QIDQ1706571

Sining Zheng, Wei Wang, Hao Yu

Publication date: 22 March 2018

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.2017.12.048

zbMATH Keywords

chemotaxisNavier-Stokes equationglobal solutionsdecay estimatesKeller-Segel system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Cell movement (chemotaxis, etc.) (92C17) Classical solutions to PDEs (35A09)

Related Items (13)

Global existence of solutions without Dirac-type singularity to a chemotaxis-fluid system with arbitrary superlinear degradation ⋮ Global stability of homogeneous steady states in scaling-invariant spaces for a Keller-Segel-Navier-Stokes system ⋮ The small-convection limit in a two-dimensional Keller-Segel-Navier-Stokes system ⋮ 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 ⋮ The Stokes limit in a three-dimensional Keller-Segel-Navier-Stokes system ⋮ Small-density solutions to Keller-Segel-Navier-Stokes system with rapidly decaying diffusivities ⋮ Keller-Segel chemotaxis models: a review ⋮ Global stability of Keller-Segel systems in critical Lebesgue spaces ⋮ Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization ⋮ Approaching constant steady states in a Keller-Segel-Stokes system with subquadratic logistic growth ⋮ Asymptotic behavior of small-data solutions to a Keller-Segel-Navier-Stokes system with indirect signal production ⋮ Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation

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