Paper Info
Title
Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions
Abstract
The purpose of this paper is to study a singular perturbation limit of a Keller-Segel system that generates blow-up infinite time. The main question that is addressed is the description of the evolution of the solutions of this problem beyond the blow-up time for the limit problem if a suitable parameter epsilon > 0 approaches zero. This problem is studied using matched asymptotic expansions. The resulting limit solution can be described beyond the blow-up time by means of the motion of a set of points whose dynamics is coupled with a parabolic-elliptic system of equations.
Year
DOI
Venue
2004
10.1137/S0036139903433888
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
DocType
Volume
chemotaxis,singular perturbations,Keller-Segel model
Journal
64
Issue
ISSN
Citations 
4
0036-1399
1
PageRank 
References 
Authors
0.41
0
1
Name
Order
Citations
PageRank
J. J. L. Velázquez1138.41