Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system
type: Item
instance of: scholarly article
title: Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system
zbMATH Open document ID: 1398.35127
author: Jie Jiang
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2018-10-25T00:00:00Z
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6965744
zbMATH Keywords: chemotaxis
zbMATH Keywords: degenerate parabolic systems
zbMATH Keywords: porous medium diffusion
zbMATH Keywords: global solutions
zbMATH Keywords: convergence to equilibria
MaRDI profile type: Publication
full work available at URL: s00033-018-1025-7
OpenAlex ID: W2891212602
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
cites work: Does a ‘volume-filling effect’ always prevent chemotactic collapse?
cites work: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
cites work: Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
cites work: Finite-time blow-up in a quasilinear system of chemotaxis
cites work: Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
cites work: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with logistic source
cites work: Quasilinear nonuniformly parabolic system modelling chemotaxis
cites work: Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
cites work: Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source
cites work: Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
cites work: Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
cites work: Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source
cites work: On convergence to equilibria for the Keller-Segel chemotaxis model
cites work: On convergence to equilibria for a chemotaxis model with volume-filling effect
cites work: A user's guide to PDE models for chemotaxis
cites work: Global attractor for a chemotaxis model with prevention of overcrowding
cites work: Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
cites work: Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis
cites work: Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
cites work: Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
cites work: Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis.
cites work: Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term
cites work: Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
cites work: Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
cites work: Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
cites work: Convergence for semilinear degenerate parabolic equations in several space dimensions
cites work: CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL
cites work: Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model
cites work: Cahn-Hilliard-Navier-Stokes systems with moving contact lines
cites work: Q3041629
cites work: Attractor for a degenerate nonlinear diffusion problem with nonlinear boundary condition
Wikidata QID: Q129208028
DOI: 10.1007/S00033-018-1025-7
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description: scientific article; zbMATH DE number 6965744