Stability of constant equilibria in a Keller--Segel system with gradient dependent chemotactic sensitivity
Abstract
This paper deals with the Keller–Segel system with gradient depen- dent chemotactic sensitivity,
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.
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