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Volume 27, Issue 3
On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D

Shaohua Wu & Bo Yue

DOI: 10.4208/jpde.v27.n3.7

J. Part. Diff. Eq., 27 (2014), pp. 268-282.

Published online: 2014-09

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  • Abstract
we prove the local existence and uniqueness of a moving boundary problem modeling chemotactic phenomena. We also get the explicit representative for the moving boundary in a special case.
  • Keywords

Keller-Segel model of chemotaxis moving boundary local existence special case

  • AMS Subject Headings

35A01, 35K57, 35M10, 35L10, 47D03, 35R35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wush8@sina.com (Shaohua Wu)

yuebo060713@163.com (Bo Yue)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-268, author = {Wu , Shaohua and Yue , Bo}, title = {On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {3}, pages = {268--282}, abstract = { we prove the local existence and uniqueness of a moving boundary problem modeling chemotactic phenomena. We also get the explicit representative for the moving boundary in a special case.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n3.7}, url = {http://global-sci.org/intro/article_detail/jpde/5142.html} }
TY - JOUR T1 - On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D AU - Wu , Shaohua AU - Yue , Bo JO - Journal of Partial Differential Equations VL - 3 SP - 268 EP - 282 PY - 2014 DA - 2014/09 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n3.7 UR - https://global-sci.org/intro/article_detail/jpde/5142.html KW - Keller-Segel model of chemotaxis KW - moving boundary KW - local existence KW - special case AB - we prove the local existence and uniqueness of a moving boundary problem modeling chemotactic phenomena. We also get the explicit representative for the moving boundary in a special case.
Wu , Shaohua and Yue , Bo. (2014). On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D. Journal of Partial Differential Equations. 27 (3). 268-282. doi:10.4208/jpde.v27.n3.7
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