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Volume 34, Issue 2
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

J. Part. Diff. Eq., 34 (2021), pp. 170-185.

Published online: 2021-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35A01, 35A02, 35K51

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

s.h.wu@163.com (Shaohua Wu)

p.f.wang@whu.edu.cn (Pengfei Wang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-170, author = {Wu , Shaohua and Wang , Pengfei}, title = {On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {2}, pages = {170--185}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/19187.html} }
TY - JOUR T1 - On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term AU - Wu , Shaohua AU - Wang , Pengfei JO - Journal of Partial Differential Equations VL - 2 SP - 170 EP - 185 PY - 2021 DA - 2021/05 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/19187.html KW - Hyperbolic-parabolic system, KS model, chemotaxis, memory term. AB -

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.

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