Year: 2021
Author: Yingdong Wu, Shaohua Wu, Xin Cheng, Lei Liu
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.5
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 67–82
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: parabolic system chemotaxis memory term fixed point theorem blow-up.