On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System
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Publication:4990076
DOI10.1137/20M1340629zbMath1467.35051arXiv2003.12174OpenAlexW3161013019MaRDI QIDQ4990076
Publication date: 28 May 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.12174
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items (6)
Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems ⋮ 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 ⋮ Various regularity estimates for the Keller-Segel-Navier-Stokes system in Besov spaces
Cites Work
- Unnamed Item
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- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Suppression of chemotactic explosion by mixing
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- A coupled chemotaxis-fluid model: global existence
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Model for chemotaxis
- Volume effects in the Keller--Segel model: energy estimates preventing blow-up
- Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Suppressing chemotactic blow-up through a fast splitting scenario on the plane
- On the Nernst-Planck-Navier-Stokes system
- Preventing blow up in a chemotaxis model
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- The logarithmic HLS inequality for systems on compact manifolds
- Bacterial swimming and oxygen transport near contact lines
- Mathematics of Two-Dimensional Turbulence
- Random walk with persistence and external bias
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Suppression of blow-up in parabolic–parabolic Patlak–Keller–Segel via strictly monotone shear flows
- The Three-Dimensional Navier–Stokes Equations
- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- COUPLED CHEMOTAXIS FLUID MODEL
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- ERRATUM: Suppression of Blow-Up in Patlak--Keller--Segel Via Shear Flows
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
- Does Leray's structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?
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