A refined asymptotic result of one-dimensional flux limited Keller–Segel models

Abstract

In this paper, we consider a flux-limited Keller–Segel model derived in [16, 18] in a one-dimensional bounded domain and give a refined asymptotic result of the spiky steady state by using the Sturm oscillation theorem in a more meticulous way based on the existence result of spiky steady state in [4], showing a more accurate characterization of the cell aggregation phenomenon.

Keywords:

• Flux-limited Keller–Segel model
• spiky steady states
• Sturm oscillation theorem

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The author was partially supported by National Key Research and Development Program of China (2021YFA1002400).