A Liouville theorem for the two-dimensional stationary hypodissipative Navier--Stokes system

Nicola De Nitti, Lukas Niebel, Jiaqi Yang

We study the two-dimensional stationary incompressible Navier--Stokes equations on ${\mathbb{R}}^2$ with fractional dissipation $(-\Delta {)}^s$. In the full range $s\in (0,1)$, we prove tha…