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2006 The singular limit of a chemotaxis-growth system with general initial data
Matthieu Alfaro
Adv. Differential Equations 11(11): 1227-1260 (2006).

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.

Citation

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Matthieu Alfaro. "The singular limit of a chemotaxis-growth system with general initial data." Adv. Differential Equations 11 (11) 1227 - 1260, 2006.

Information

Published: 2006
First available in Project Euclid: 18 December 2012

zbMATH: 1153.35010
MathSciNet: MR2277063

Subjects:
Primary: 35K50
Secondary: 35B50, 35K57, 35R35, 92C17

Rights: Copyright © 2006 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.11 • No. 11 • 2006
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