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Volume 29, Issue 4
On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model

Shaohua Wu, Chunying Wang & Bo Yue

DOI: 10.4208/jpde.v29.n4.2

J. Part. Diff. Eq., 29 (2016), pp. 269-285.

Published online: 2016-12

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  • Abstract
In this paper, the local existence and uniqueness of a chemotaxismodel with a moving boundary are considered by the contraction mapping principle, and the explicit expression for the moving boundary is formulated. In addition, the finite-time blowup and chemotactic collapse of the solution for such kind of problem are discussed.
  • Keywords

Chemotaxis model moving boundary local existence finite-time blowup

  • AMS Subject Headings

35A01, 35K57, 35R35, 47D03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

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

2014202010024@whu.edu.cn (Chunying Wang)

1291659170@qq.com (Bo Yue)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-269, author = {Wu , ShaohuaWang , Chunying and Yue , Bo}, title = {On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {4}, pages = {269--285}, abstract = { In this paper, the local existence and uniqueness of a chemotaxismodel with a moving boundary are considered by the contraction mapping principle, and the explicit expression for the moving boundary is formulated. In addition, the finite-time blowup and chemotactic collapse of the solution for such kind of problem are discussed.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n4.2}, url = {http://global-sci.org/intro/article_detail/jpde/5093.html} }
TY - JOUR T1 - On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model AU - Wu , Shaohua AU - Wang , Chunying AU - Yue , Bo JO - Journal of Partial Differential Equations VL - 4 SP - 269 EP - 285 PY - 2016 DA - 2016/12 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n4.2 UR - https://global-sci.org/intro/article_detail/jpde/5093.html KW - Chemotaxis model KW - moving boundary KW - local existence KW - finite-time blowup AB - In this paper, the local existence and uniqueness of a chemotaxismodel with a moving boundary are considered by the contraction mapping principle, and the explicit expression for the moving boundary is formulated. In addition, the finite-time blowup and chemotactic collapse of the solution for such kind of problem are discussed.
Shaohua Wu, Chunying Wang & Bo Yue. (2019). On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model. Journal of Partial Differential Equations. 29 (4). 269-285. doi:10.4208/jpde.v29.n4.2
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