Advances in Differential Equations

The singular limit of a chemotaxis-growth system with general initial data

Matthieu Alfaro

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We study the singular limit of a system of partial differential equations which is a model for an aggregation of amoebae subjected to three effects: diffusion, growth and chemotaxis. The limit problem involves motion by mean curvature together with a nonlocal drift term. We consider rather general initial data. We prove a generation of interface property and study the motion of interfaces. We also obtain an optimal estimate of the thickness and the location of the transition layer that develops.

Article information

Adv. Differential Equations, Volume 11, Number 11 (2006), 1227-1260.

First available in Project Euclid: 18 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K50
Secondary: 35B50: Maximum principles 35K57: Reaction-diffusion equations 35R35: Free boundary problems 92C17: Cell movement (chemotaxis, etc.)


Alfaro, Matthieu. The singular limit of a chemotaxis-growth system with general initial data. Adv. Differential Equations 11 (2006), no. 11, 1227--1260.

Export citation