On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model

On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model

Year:    2016

Author:    Shaohua Wu, Chunying Wang, Bo Yue

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 4 : pp. 269–285

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v29.n4.2

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 4 : pp. 269–285

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Chemotaxis model

Author Details

Shaohua Wu

Chunying Wang

Bo Yue