Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term

Shaohua Wu; Lei Liu

doi:10.4208/jpde.v33.n2.5

Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term

Authors

Shaohua Wu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Lei Liu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.

DOI:

https://doi.org/10.4208/jpde.v33.n2.5

Keywords:

Parabolic system, chemotaxis, memory term, fixed point theorem.

Abstract

In this paper, we come up with a parabolic system modelling chemotaxis with memory term, and establish the local existence and uniqueness of weak solutions. The main methods we use are the fixed point theorem and semigroup theory.

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Published

2020-05-12

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Issue

Vol. 33 No. 2 (2020)

Section

Articles

How to Cite

Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term. (2020). Journal of Partial Differential Equations, 33(2), 158-170. https://doi.org/10.4208/jpde.v33.n2.5