Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13348
Title: Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model
Authors: Jin, HY
Wang, ZA 
Keywords: Attraction-repulsion
Chemotaxis
Classical solutions
Global dynamics
Stationary solutions
Issue Date: 2015
Publisher: John Wiley & Sons
Source: Mathematical methods in the applied sciences, 2015, v. 38, no. 3, p. 444-457 How to cite?
Journal: Mathematical methods in the applied sciences 
Abstract: The asymptotic behavior of the attraction-repulsion Keller-Segel model in one dimension is studied in this paper. The global existence of classical solutions and nonconstant stationary solutions of the attraction-repulsion Keller-Segel model in one dimension were previously established by Liu and Wang (2012), which, however, only provided a time-dependent bound for solutions. In this paper, we improve the results of Liu and Wang (2012) by deriving a uniform-in-time bound for solutions and furthermore prove that the model possesses a global attractor. For a special case where the attractive and repulsive chemical signals have the same degradation rate, we show that the solution converges to a stationary solution algebraically as time tends to infinity if the attraction dominates.
URI: http://hdl.handle.net/10397/13348
ISSN: 0170-4214
DOI: 10.1002/mma.3080
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

21
Last Week
0
Last month
2
Citations as of Aug 18, 2017

WEB OF SCIENCETM
Citations

20
Last Week
0
Last month
0
Citations as of Aug 14, 2017

Page view(s)

43
Last Week
4
Last month
Checked on Aug 20, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.