Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid

DOI10.1016/j.jde.2019.05.035zbMath1437.35077OpenAlexW2953697605WikidataQ127742004 ScholiaQ127742004MaRDI QIDQ2284633

Hideo Kozono, Masanari Miura, Yoshie Sugiyama

Publication date: 15 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.05.035

zbMATH Keywords

parabolic-elliptic Keller-Segel modelglobal in time solutionsscale invariant spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

Related Items

Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Couette flow ⋮ On the fast spreading scenario ⋮ Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem ⋮ Critical mass phenomenon in a chemotaxis fluid system ⋮ Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System ⋮ Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system ⋮ An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system ⋮ Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems ⋮ Preface ⋮ On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System

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