The viscosity limit of fluid flows with growth/decay conditions at infinity

R. McOwen, P. Topalov

We prove that the Navier-Stokes equation is well-posed in function spaces on ${\mathbb{R}}^d$, $d\ge 2$, that contain vector fields of order $O(|x{|}^{\kappa })$ as $|x|\to \infty$ with $\kappa <1/2$…