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

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Chemotaxis model moving boundary local existence finite-time blowup
• 年，卷（期）: 2016,（4）
• 页码范围: 269-285
• 页数: 17页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v29.n4.2

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.