On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term

Shaohua Wu; Pengfei Wang

doi:10.4208/jpde.v34.n2.5

On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term

Authors

Shaohua Wu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Pengfei Wang School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

DOI:

https://doi.org/10.4208/jpde.v34.n2.5

Keywords:

Hyperbolic-parabolic system, KS model, chemotaxis, memory term.

Abstract

In this paper, we discuss the local existence of weak solutions for some hyperbolic parabolic systems modelling chemotaxis with memory term.The main methods we use are the fixed point theorem and semigroup theory.

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Published

2021-05-28

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Issue

Vol. 34 No. 2 (2021)

Section

Articles

How to Cite

On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term. (2021). Journal of Partial Differential Equations, 34(2), 170-185. https://doi.org/10.4208/jpde.v34.n2.5