Well-posedness of a model of point dynamics for a limit of the Keller-Segel system

被引：15

作者：

Velázquez, JJL ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Matemat Aplicada, Madrid 28040, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 206卷 / 02期

关键词：

chemotaxis; partial differential equations; well-posedness; free boundary problems;

D O I：

10.1016/j.jde.2004.05.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to prove well-posedness for a problem that describes the dynamics of a set of points by means of a system of parabolic equations. It has been seen in Velazquez (Point dynamics in a singular limit of the Keller-Segel model. (1) motion of the concentration regions, SIAM J. Appl. Math., to appear) that the considered model is the limit of a singular perturbation problem for a system of the Keller-Segel type. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：315 / 352

页数：38

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