On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model

被引：2

作者：

Wu Shaohua ^{[1
]}

Wang Chunying ^{[1
]}

Yue Bo ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 29卷 / 04期

关键词：

Chemotaxis model; moving boundary; local existence; finite-time blowup;

D O I：

10.4208/jpde.v29.n4.2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the local existence and uniqueness of a chemotaxis model with a moving boundary are considered by the contraction mapping principle, and the explicit expression for the moving boundary is formulated. In addition, the finite-time blowup and chemotactic collapse of the solution for such kind of problem are discussed.

引用

页码：269 / 285

页数：17

共 49 条

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