On the stability to Keller–Segel system coupled with Navier–Stokes equations in Besov–Morrey spaces

Abstract

In this paper, we consider the Cauchy problem of Keller–Segel–Navier–Stokes equations in RN for N≥2. Under the small initial data assumption, we prove the asymptotic stability for this system in Besov–Morrey spaces by the structure of the model and semigroup estimates.