Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term | Journal of Partial Differential Equations

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>"

Downloads

Published

2021-05-28

Issue

Vol. 34 No. 1 (2021)

Section

Articles

Most read articles by the same author(s)

Shaohua Wu, Pengfei Wang, On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term , Journal of Partial Differential Equations: Vol. 34 No. 2 (2021)
Shaohua Wu, Haiying Chen, A Second-order Hyperbolic Chemotaxis Model , Journal of Partial Differential Equations: Vol. 32 No. 3 (2019)
Shaohua Wu, Lei Liu, Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term , Journal of Partial Differential Equations: Vol. 33 No. 2 (2020)
Shaohua Wu, Chunying Wang, Bo Yue, On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model , Journal of Partial Differential Equations: Vol. 29 No. 4 (2016)
Shaohua Wu, Kai Zhou, Hyperbolic-Parabolic Type Chemotaxis Systems in R^N , Journal of Partial Differential Equations: Vol. 30 No. 4 (2017)
Shaohua Wu, Bo Yue, On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D , Journal of Partial Differential Equations: Vol. 27 No. 3 (2014)