Paper Info
Title
Global Existence and Blow-Up for a Chemotaxis System
Abstract
In this paper we consider a Keller-Segel-type chemotaxis model with reaction term under no-flux boundary conditions, where the kinetics term of the system is power function. Assuming some growth conditions, the existence of bounded global strong solution to the parabolic-parabolic system is given. We also give the numerical test and find out that there exists a threshold. When the power frequency greater than the threshold, both global solution and blow-up solution exist.
Year
DOI
Venue
2017
10.3846/13926292.2017.1292323
MATHEMATICAL MODELLING AND ANALYSIS
Keywords
DocType
Volume
chemotaxis,global existence,blow-up,numerical analysis
Journal
22
Issue
ISSN
Citations 
2
1392-6292
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Xueyong Chen100.34
Fuxing Hu200.34
Jianhua Zhang331.05
Jianwei Shen43111.82