On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions

Jeaheang Bang, Changfeng Gui, Hao Liu +2

We prove that the steady incompressible Navier-Stokes equations with any given $(-3)$-homogeneous, locally Lipschitz external force on ${\mathbb{R}}^n\setminus \{0\}$, $4\leq n\leq 16…