Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

DOI10.1016/j.jfa.2021.108967zbMath1469.35065OpenAlexW3130736973MaRDI QIDQ2662509

Ruizhao Zi, Zhifei Zhang, Lan Zeng

Publication date: 14 April 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.108967

zbMATH Keywords

Navier-Stokes equationCouette flowenhanced dissipationparabolic-parabolic casePatlak-Keller-Segel equationparabolic-elliptic case

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

Related Items (5)

Global well-posedness for aggregation equation with time-space nonlocal operator and shear flow ⋮ Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System ⋮ Enhanced dissipation and transition threshold for the Poiseuille-Couette flow ⋮ 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 ⋮ Dissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equations

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• On the stability threshold for the 3D Couette flow in Sobolev regularity
• Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
• A coupled chemotaxis-fluid model: global existence
• Transition threshold for the 2-D Couette flow in a finite channel
• Initiation of slime mold aggregation viewed as an instability
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
• The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
• The Sobolev stability threshold for 2D shear flows near Couette
• A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
• Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$
• Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Diffusion and mixing in fluid flow
• An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation
• Random walk with persistence and external bias
• Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
• Uniqueness and long time asymptotics for the parabolic–parabolic Keller–Segel equation
• Suppression of blow-up in parabolic–parabolic Patlak–Keller–Segel via strictly monotone shear flows
• Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ²
• COUPLED CHEMOTAXIS FLUID MODEL
• Hypocoercivity
• L^PBounds of solutions of reaction-diffusion equations
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
• Suppression of Blow-Up in Patlak--Keller--Segel Via Shear Flows
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space
• Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
• Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow

This page was built for publication: Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Couette flow