@Article{JPDE-34-1, author = {Yingdong, Wu and Wu, Shaohua and Xin, Cheng 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 = {https://global-sci.com/article/88129/finite-time-blow-up-and-local-existence-for-chemotaxis-system-with-a-general-memory-term} }