@Article{JPDE-34-67, author = {Wu , YingdongWu , ShaohuaCheng , Xin and Liu , Lei}, title = {Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {1}, pages = {67--82}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/ 10.4208/jpde.v34.n1.5}, url = {http://global-sci.org/intro/article_detail/jpde/18555.html} }