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On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model
Authors:Shaohua Wu  Chunying Wang & Bo Yue
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
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