Ill-posedness of the two-dimensional Keller-Segel model in Triebel-Lizorkin spaces

Authors

Chao Deng
John Villavert, The University of Texas Rio Grande Valley

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

Recommended Citation

Deng, Chao, and John Villavert. 2014. “Ill-Posedness of the Two-Dimensional Keller–Segel Model in Triebel–Lizorkin Spaces.” Nonlinear Analysis: Theory, Methods & Applications 95 (January): 38–49. 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