A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
type: Item
instance of: scholarly article
title: A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
zbMATH Open document ID: 1408.35132
author: Michael Winkler
published in: Journal of Functional Analysis
publication date: 2019-01-22T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7004954
zbMATH Keywords: chemotaxis
zbMATH Keywords: Navier-Stokes
zbMATH Keywords: large time behavior
zbMATH Keywords: generalized solution
MaRDI profile type: Publication
full work available at URL: j.jfa.2018.12.009
OpenAlex ID: W2905920381
cites work: From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid
cites work: Q4254459
cites work: Global-in-time bounded weak solutions to a degenerate quasilinear Keller-Segel system with rotation
cites work: Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
cites work: Global classical solutions of a 3D chemotaxis-Stokes system with rotation
cites work: Existence of smooth solutions to coupled chemotaxis-fluid equations
cites work: Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
cites work: Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
cites work: On the Cauchy problem for Boltzmann equations: Global existence and weak stability
cites work: Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
cites work: Global Solutions to the Coupled Chemotaxis-Fluid Equations
cites work: Reaction terms avoiding aggregation in slow fluids
cites work: On the Navier-Stokes initial value problem. I
cites work: The Stokes operator in \(L_ R\) spaces
cites work: Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Q4398321
cites work: A user's guide to PDE models for chemotaxis
cites work: Spatio-temporal chaos in a chemotaxis model
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
cites work: On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
cites work: Partial Differential Equations
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Biomixing by Chemotaxis and Enhancement of Biological Reactions
cites work: Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case
cites work: Suppression of chemotactic explosion by mixing
cites work: Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
cites work: Spatial pattern formation in a chemotaxis-diffusion-growth model
cites work: Q5562267
cites work: Chemotaxis can prevent thresholds on population density
cites work: Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
cites work: Résolution de problèmes elliptiques quasilineaires
cites work: Boundedness and decay property in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation
cites work: Global existence and boundedness in a Keller-Segel-(Navier-)Stokes system with signal-dependent sensitivity
cites work: COUPLED CHEMOTAXIS FLUID MODEL
cites work: A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
cites work: Measure valued solutions of the 2D Keller-Segel system
cites work: Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
cites work: On Leray's self-similar solutions of the Navier-Stokes equations
cites work: Exponential attractor for a chemotaxis-growth system of equations
cites work: Q3412821
cites work: Renormalized solutions of nonlinear parabolic equations with general measure data
cites work: Q3438091
cites work: Q2743226
cites work: Q5428570
cites work: Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
cites work: Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
cites work: Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
cites work: Q4163866
cites work: Bacterial swimming and oxygen transport near contact lines
cites work: Weak solutions for a bioconvection model related to Bacillus subtilis
cites work: Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
cites work: Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
cites work: The Navier-Stokes equations -- a neverending challenge?
cites work: Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
cites work: Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
cites work: Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Stabilization in a two-dimensional chemotaxis-Navier-Stokes system

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: How far can chemotactic cross-diffusion enforce exceeding carrying capacities?

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (cites work)
cites work: Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (Wikidata QID)
Wikidata QID: Q128696112

A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization (DOI)
DOI: 10.1016/J.JFA.2018.12.009