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

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

Year:    2020

Author:    Shaohua Wu, Lei Liu

Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 2 : pp. 158–170

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 2 : pp. 158–170

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Parabolic system chemotaxis memory term fixed point theorem.

Author Details

Shaohua Wu

Lei Liu