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.