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.