Asymptotic stabilization for a class of chemotaxis-consumption systems with generalized logistic source
type: Item
instance of: scholarly article
title: Asymptotic stabilization for a class of chemotaxis-consumption systems with generalized logistic source
zbMATH Open document ID: 1483.35036
author: Wenbin Lyu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7472457
zbMATH Keywords: stabilization
zbMATH Keywords: chemotaxis-consumption
zbMATH Keywords: generalized logistic source
zbMATH Keywords: no-flux boundary conditions
MaRDI profile type: Publication
full work available at URL: j.na.2021.112737
OpenAlex ID: W4200321892
cites work: Global existence and boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant and logistic source
cites work: Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
cites work: A free boundary problem for a class of parabolic type chemotaxis model
cites work: Solvability of a parabolic-hyperbolic type chemotaxis system in 1-dimensional domain
cites work: A free boundary problem for a class of parabolic-elliptic type chemotaxis model
cites work: Q4255465
cites work: Blow up rate for semilinear heat equations with subcritical nonlinearity
cites work: A user's guide to PDE models for chemotaxis
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
cites work: Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity
cites work: Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
cites work: Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
cites work: Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
cites work: Global generalized solutions for a class of chemotaxis-consumption systems with generalized logistic source
cites work: Decay characterization of the solutions to the Navier–Stokes–Voigt equations with damping
cites work: Free energy and self-interacting particles
cites work: Chemotaxis, Reaction, Network
cites work: Boundedness in a chemotaxis model with oxygen consumption by bacteria
cites work: Eventual smoothness and stabilization of renormalized radial solutions in a chemotaxis consumption system with bounded chemotactic sensitivity
cites work: Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
cites work: A Chemotaxis System with Logistic Source
cites work: Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
cites work: Global existence in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity
cites work: $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation
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: Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
cites work: How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
cites work: Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
cites work: Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
cites work: Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
cites work: Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
cites work: Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
cites work: Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
cites work: The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)
cites work: Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
cites work: Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
cites work: When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions?
cites work: Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
DOI: 10.1016/J.NA.2021.112737
description: scientific article; zbMATH DE number 7472457