The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data

DOI10.1017/prm.2020.88zbMath1480.35381OpenAlexW3117554214MaRDI QIDQ3383676

Zhaoyin Xiang, Min Li

Publication date: 16 December 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2020.88

zbMATH Keywords

singular perturbationchemotaxisfluid equationsfast signal diffusion limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stokes and related (Oseen, etc.) flows (76D07) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

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Cites Work

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• Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
• Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space
• A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
• Nondegeneracy of blow-up points for the parabolic Keller-Segel system
• Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
• Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
• Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
• Initiation of slime mold aggregation viewed as an instability
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system
• The fast signal diffusion limit in a Keller-Segel system
• Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?
• Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition
• Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces
• The fast signal diffusion limit in nonlinear chemotaxis systems
• The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system
• The fast signal diffusion limit in Keller-Segel(-fluid) systems
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• Boundedness vs. blow-up in a chemotaxis system
• The small-convection limit in a two-dimensional Keller-Segel-Navier-Stokes system
• Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
• Bacterial swimming and oxygen transport near contact lines
• How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
• Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ²
• COUPLED CHEMOTAXIS FLUID MODEL
• On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis
• Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation
• Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
• Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
• Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Asymptotic dynamics on a chemotaxis-Navier–Stokes system with nonlinear diffusion and inhomogeneous boundary conditions
• Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
• Chemotactic collapse in a parabolic-elliptic system of mathematical biology