Boundedness in a fully parabolic chemotaxis system with logistic-type source and nonlinear production
type: Item
instance of: scholarly article
title: Boundedness in a fully parabolic chemotaxis system with logistic-type source and nonlinear production
zbMATH Open document ID: 1415.35067
author: Mengdi Zhuang
author: Wei Wang
author: Sining Zheng
published in: Nonlinear Analysis. Real World Applications
publication date: 2019-02-27T00:00:00Z
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 7030197
zbMATH Keywords: non-flux boundary conditions
zbMATH Keywords: self-restriction mechanism
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.12.001
OpenAlex ID: W2907022300
cites work: Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Q4381941
cites work: Q4824324
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
cites work: Q4398321
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: Exponential attractor for a chemotaxis-growth system of equations
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: Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
cites work: Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
cites work: Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
cites work: Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation
cites work: Chemotaxis with logistic source: very weak global solutions and their boundedness properties
cites work: Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
cites work: Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source
cites work: Global existence of solutions to an \(n\)-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production
cites work: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Positive effects of repulsion on boundedness in a fully parabolic attraction-repulsion chemotaxis system with logistic source
cites work: Global solutions in a fully parabolic chemotaxis system with singular sensitivity
cites work: Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
Wikidata QID: Q128670541
DOI: 10.1016/J.NONRWA.2018.12.001
description: scientific article; zbMATH DE number 7030197