Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
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Publication:2113302
DOI10.1007/s00526-021-02164-6zbMath1485.35067arXiv1912.00926OpenAlexW4210663817WikidataQ114018014 ScholiaQ114018014MaRDI QIDQ2113302
Publication date: 14 March 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00926
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (15)
Global existence, regularity and boundedness in a higher-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and general sensitivity ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production ⋮ Boundedness and stabilization of a three-dimensional parabolic-elliptic Keller-Segel-Stokes system ⋮ Global classical solutions of Keller-Segel-(Navier)-Stokes system with nonlinear motility functions ⋮ On a multistable type of free boundary problem with a flux at the boundary ⋮ Some further progress for boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion ⋮ Solutions with positive components to quasilinear parabolic systems ⋮ A note to the large-time behavior of a 3D chemotaxis-Navier-Stokes system with porous medium slow diffusion ⋮ Global existence and boundedness for an \(N\)-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion ⋮ Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy ⋮ Investigation of the global dynamics of two exponential-form difference equations systems ⋮ Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy ⋮ Global classical solutions in a self-consistent chemotaxis-fluid system with gradient-dependent flux limitation ⋮ Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension ⋮ An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with saturated sensitivity
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