Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation
type: Item
instance of: scholarly article
title: Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation
zbMATH Open document ID: 1468.35220
author: Michael Winkler
published in: Nonlinear Analysis. Real World Applications
publication date: 2021-05-14T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 7347896
zbMATH Keywords: chemotaxis
zbMATH Keywords: Navier-Stokes
zbMATH Keywords: flux limitation
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2020.103257
OpenAlex ID: W3108058170
cites work: Bacterial swimming and oxygen transport near contact lines
cites work: A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
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: Suppressing chemotactic blow-up through a fast splitting scenario on the plane
cites work: Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow
cites work: COUPLED CHEMOTAXIS FLUID MODEL
cites work: Global Solutions to the Coupled Chemotaxis-Fluid Equations
cites work: Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
cites work: A coupled chemotaxis-fluid model: global existence
cites work: A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
cites work: Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
cites work: Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
cites work: Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
cites work: Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
cites work: How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
cites work: Q4398321
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux
cites work: Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
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 for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
cites work: Does a ‘volume-filling effect’ always prevent chemotactic collapse?
cites work: Fluid interaction does not affect the critical exponent in a three-dimensional Keller-Segel-Stokes model
cites work: Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
cites work: Global classical solutions of a 3D chemotaxis-Stokes system with rotation
cites work: Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity
cites work: Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?
cites work: Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
cites work: Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation
cites work: A mathematical model for lymphangiogenesis in normal and diabetic wounds
cites work: Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models
cites work: Traveling wave and aggregation in a flux-limited Keller-Segel model
cites work: Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation
cites work: Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation
cites work: Finite-time blow-up in a degenerate chemotaxis system with flux limitation
cites work: A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
cites work: A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients
cites work: On a parabolic-elliptic system with gradient dependent chemotactic coefficient
cites work: Q2743226
cites work: Q5630031
cites work: Geometric theory of semilinear parabolic equations
cites work: The Stokes operator in \(L_ R\) spaces
cites work: Stabilization in a chemotaxis model for tumor invasion
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Q4163866
DOI: 10.1016/J.NONRWA.2020.103257
description: scientific article; zbMATH DE number 7347896