On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D | Journal of Partial Differential Equations

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

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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."

Keywords:

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

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DOI

10.4208/jpde.v27.n3.7

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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

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