Document Type

Article

Publication Date

1-2014

Abstract

This article proves the ill-posedness of the Cauchy problem for the two-dimensional Keller–Segel model in Triebel–Lizorkin spaces, for . In particular, it is shown that solutions can develop norm inflation under certain settings in that the solution can become arbitrarily large after an arbitrarily short time even for small initial data.

Comments

© 2013 Elsevier Ltd. Original published version available at https://doi.org/10.1016/j.na.2013.08.023

First Page

38

Last Page

49

Publication Title

Nonlinear Analysis: Theory, Methods & Applications

DOI

10.1016/j.na.2013.08.023

Included in

Mathematics Commons

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