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Volume 32, Issue 3
A Second-order Hyperbolic Chemotaxis Model

Shaohua Wu & Haiying Chen

DOI: 10.4208/jpde.v32.n3.4

J. Part. Diff. Eq., 32 (2019), pp. 269-280.

Published online: 2019-10

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  • Abstract

In this paper, we study a hyperbolic type chemotaxis model in one space dimension. We assume the speed is constant, the production and degradation of the external signal $s$ is given by \mbox{$-\beta s+f(u^++u^-)$,} where $f(u^++u^-)$ is the general form and $u^+, u^-$ depend on $s$. The existence of the weak solution of the model considered in the paper is obtained by  the method of characteristics and the contraction mapping principle.

  • Keywords

Chemotaxis model hyperbolic equations correlated random walks.

  • AMS Subject Headings

35L45, 35M10, 92C17

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wush8@sina.com (Shaohua Wu)

Haiying@whu.edu.cn (Haiying Chen)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-269, author = {Wu , Shaohua and Chen , Haiying}, title = {A Second-order Hyperbolic Chemotaxis Model}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {3}, pages = {269--280}, abstract = {

In this paper, we study a hyperbolic type chemotaxis model in one space dimension. We assume the speed is constant, the production and degradation of the external signal $s$ is given by \mbox{$-\beta s+f(u^++u^-)$,} where $f(u^++u^-)$ is the general form and $u^+, u^-$ depend on $s$. The existence of the weak solution of the model considered in the paper is obtained by  the method of characteristics and the contraction mapping principle.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/13342.html} }
TY - JOUR T1 - A Second-order Hyperbolic Chemotaxis Model AU - Wu , Shaohua AU - Chen , Haiying JO - Journal of Partial Differential Equations VL - 3 SP - 269 EP - 280 PY - 2019 DA - 2019/10 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n3.4 UR - https://global-sci.org/intro/article_detail/jpde/13342.html KW - Chemotaxis model KW - hyperbolic equations KW - correlated random walks. AB -

In this paper, we study a hyperbolic type chemotaxis model in one space dimension. We assume the speed is constant, the production and degradation of the external signal $s$ is given by \mbox{$-\beta s+f(u^++u^-)$,} where $f(u^++u^-)$ is the general form and $u^+, u^-$ depend on $s$. The existence of the weak solution of the model considered in the paper is obtained by  the method of characteristics and the contraction mapping principle.

Shaohua Wu & Haiying Chen. (2019). A Second-order Hyperbolic Chemotaxis Model. Journal of Partial Differential Equations. 32 (3). 269-280. doi:10.4208/jpde.v32.n3.4
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