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arXiv · 0909.2944

The Singular Limit of a Chemotaxis-Growth System with General Initial Data

Matthieu Alfaro
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Abstract

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.

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Matthieu Alfaro. 2009-09-16. The Singular Limit of a Chemotaxis-Growth System with General Initial Data. https://arxiv.org/abs/0909.2944

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