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

Shaohua Wu; Chunying Wang; Bo Yue

doi:10.4208/jpde.v29.n4.2

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

Authors

Shaohua Wu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Chunying Wang School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Bo Yue School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

DOI:

https://doi.org/10.4208/jpde.v29.n4.2

Keywords:

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

Abstract

In this paper, the local existence and uniqueness of a chemotaxismodel 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.

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Published

2020-05-12

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Issue

Vol. 29 No. 4 (2016)

Section

Articles

How to Cite

On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model. (2020). Journal of Partial Differential Equations, 29(4), 269-285. https://doi.org/10.4208/jpde.v29.n4.2