Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term

Yingdong Wu; Shaohua Wu; Xin Cheng; Lei Liu

doi:10.4208/jpde.v34.n1.5

Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term

Authors

Yingdong Wu
Shaohua Wu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Xin Cheng
Lei Liu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.

DOI:

https://doi.org/10.4208/jpde.v34.n1.5

Keywords:

parabolic system, chemotaxis, memory term, fixed point theorem, blow-up.

Abstract

In this paper, we discuss the local existence of weak solutions for a parabolic\nsystem modelling chemotaxis with memory term, and we show the finite-time blow-up and chemotactic collapse for this system. The main methods we used are the fixed\npoint theorem and the semigroup theory.<\/p>"

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Published

2021-05-28

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3449

Issue

Vol. 34 No. 1 (2021)

Section

Articles

How to Cite

Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term. (2021). Journal of Partial Differential Equations, 34(1), 67-82. https://doi.org/10.4208/jpde.v34.n1.5