An integro-differential equation arising as a limit of individual cell-based models

被引：103

作者：

Bodnar, M

Velazquez, JJL

机构：

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

[2] Warsaw Univ, Fac Math Informat & Mech, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 222卷 / 02期

关键词：

D O I：

10.1016/j.jde.2005.07.025

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

In this paper, we study mathematical properties of an integro-differential equation that arises as a particular limit case in the study of individual cell-based model. We obtain global well-posedness for some classes of interaction potentials and finite time blow-up for others. The existence of space homogeneous steady states as well as long-time asymptotics for the solutions of the problem is also discussed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：341 / 380

页数：40

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