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

Shaohua Wu & Bo Yue

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

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@Article{JPDE-27-268, author = {}, 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 JO - Journal of Partial Differential Equations VL - 3 SP - 268 EP - 282 PY - 2014 DA - 2014/09 SN - 27 DO - http://dor.org/10.4208/jpde.v27.n3.7 UR - https://global-sci.org/intro/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.
Shaohua Wu & Bo Yue . (2019). 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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