Stability of constant equilibria in a Keller--Segel system with gradient dependent chemotactic sensitivity

  • S. Kohatsu Tokyo University of Science, Japan
  • T. Yokota Tokyo University of Science, Japan

Abstract

This paper deals with the Keller–Segel system with gradient depen- dent chemotactic sensitivity,

Schermata_2023-07-22_alle_10.04_.35_.png

where Ω ⊂ Rn (n ∈ N) is a bounded domain with smooth boundary, and χ > 0, p ∈ (1, ∞) are constants. The purpose of this paper is to establish stability of constant equilibria under some smallness conditions for the initial data.

Published
2023-07-21
Section
Articoli