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
收藏
页码：269 / 285
页数：17
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