On a parabolic-elliptic chemotactic model with coupled boundary conditions
type: Item
instance of: scholarly article
title: On a parabolic-elliptic chemotactic model with coupled boundary conditions
zbMATH Open document ID: 1207.35055
author: D. Kharzeev
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-10-14T00:00:00Z
review text: The author analyze a nonlinear system of parabolic-elliptic type whose origin is a model of chemotaxis. The parabolic equation describes the cell density and the elliptic equation describes the concentration of the chemoattractant or chemorepellant. The authors prove global (in time) existence and uniqueness of positive classical solutions. The authors also analyze the associated elliptic steady state problem. Under certain conditions on the parameters of the model, it is shown that there is a unique homogeneous equilibrium solution which is globally stable.
reviewed by: Tilmann Glimm
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35A09
Mathematics Subject Classification ID: 35B36
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 5800020
zbMATH Keywords: global existence
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: coexistence states
zbMATH Keywords: system of parabolic-elliptic type
zbMATH Keywords: homogeneous equilibrium solution
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2010.02.016
OpenAlex ID: W2063890746
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DOI: 10.1016/J.NONRWA.2010.02.016
description: scientific article; zbMATH DE number 5800020