Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
type: Item
instance of: scholarly article
title: Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
zbMATH Open document ID: 1272.35040
author: Youshan Tao
author: Lihe Wang
author: Zhi-An Wang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2013-04-24T00:00:00Z
review text: The authors study a one-dimensional repulsive chemotaxis model with logarithmic sensitivity, consisting of two coupled nonlinear, second order parabolic equations for the cell density and the chemical concentration, subject to Neumann boundary conditions. Using a Lyapunov functional approach, they prove a global existence result for smooth positive initial data and characterize the long-term dynamics of solutions. Only constant positive steady states are shown to be possible.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 6157331
zbMATH Keywords: repulsion
zbMATH Keywords: global dynamics
zbMATH Keywords: entropy inequality
zbMATH Keywords: Neumann boundary conditions
zbMATH Keywords: Lyapunov functional
MaRDI profile type: Publication
full work available at URL: dcdsb.2013.18.821
OpenAlex ID: W2068088603
DOI: 10.3934/DCDSB.2013.18.821
description: scientific article; zbMATH DE number 6157331