Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids

Lucas C. F. Ferreira, Monisse Postigo

In this work we consider the Keller-Segel system coupled with Navier-Stokes equations in ${\mathbb{R}}^N$ for $N\ge 2$. We prove the global well-posedness with small initial data i…