Boundedness and global solvability to a chemotaxis model with nonlinear diffusion
type: Item
instance of: scholarly article
title: Boundedness and global solvability to a chemotaxis model with nonlinear diffusion
zbMATH Open document ID: 1397.92095
author: Chunhua Jin
published in: Journal of Differential Equations
publication date: 2018-10-02T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6946027
zbMATH Keywords: chemotaxis system
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: logistic source
zbMATH Keywords: boundedness
MaRDI profile type: Publication
full work available at URL: j.jde.2017.06.034
OpenAlex ID: W2734567123
cites work: Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
cites work: Blow-up in a chemotaxis model without symmetry assumptions
cites work: Global classical solution and stability to a coupled chemotaxis-fluid model with logistic source
cites work: Global classical solution and boundedness to a chemotaxis-haptotaxis model with re-establishment mechanisms
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Long-term behaviour in a chemotaxis-fluid system with logistic source
cites work: Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
cites work: Boundedness and decay property in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation
cites work: Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis.
cites work: MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
cites work: Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
cites work: Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion
cites work: Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
cites work: Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
cites work: Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
cites work: A Chemotaxis System with Logistic Source
cites work: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
cites work: Chemotaxis with logistic source: very weak global solutions and their boundedness properties
cites work: Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
cites work: Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
cites work: Global existence of solutions for a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source
DOI: 10.1016/J.JDE.2017.06.034
Recommended article: Global boundedness to a chemotaxis-haptotaxis model with nonlinear diffusion
Recommended article: Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion
Recommended article: Global existence and boundedness of solutions to a model of chemotaxis
Recommended article: Q5216351
Recommended article: Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion
Recommended article: Global boundedness in a quasilinear chemotaxis model with nonlinear diffusion and consumption of chemoattractant
Recommended article: Boundedness in a multi-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
Recommended article: Boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
Recommended article: Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
Recommended article: Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
description: scientific article; zbMATH DE number 6946027