TY - JOUR
T1 - Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term
AU - Wu , Yingdong
AU - Wu , Shaohua
AU - Cheng , Xin
AU - Liu , Lei
JO - Journal of Partial Differential Equations
VL - 1
SP - 67
EP - 82
PY - 2021
DA - 2021/01
SN - 34
DO - http://doi.org/ 10.4208/jpde.v34.n1.5
UR - https://global-sci.org/intro/article_detail/jpde/18555.html
KW - parabolic system, chemotaxis, memory term, fixed point theorem, blow-up.
AB - <p style="text-align: justify;">In this paper, we discuss the local existence of weak solutions for a parabolic
system 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
point theorem and the semigroup theory.</p>