On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D

Shaohua Wu; Bo Yue

doi:10.4208/jpde.v27.n3.7

On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D

Authors

Shaohua Wu School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Bo Yue School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

DOI:

https://doi.org/10.4208/jpde.v27.n3.7

Keywords:

Keller-Segel model of chemotaxis;moving boundary;local existence;special case

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."

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Published

2014-09-01

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Issue

Vol. 27 No. 3 (2014)

Section

Articles

How to Cite

On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D. (2014). Journal of Partial Differential Equations, 27(3), 268-282. https://doi.org/10.4208/jpde.v27.n3.7