Sverak's conjecture on isolated singularities of stationary Navier–Stokes flows

Let $u$ be a solution of the stationary Navier–Stokes equations with zero force in $\mathbb{R}^3\setminus\{0\}$ satisfying the bound

$$|u(x)|\leq \frac{C_*}{|x|}$$

for some $C_*>0$. A Landau-solution conjecture. Then $u$ is a Landau solution.

This conjecture asks whether every stationary Navier–Stokes flow in three-dimensional punctured space with the critical pointwise bound is one of the explicit Landau solutions. The surrounding discussion states that the analogous classification of discretely self-similar solutions with large $C_*$ is unknown, while the result proved in the paper establishes the conclusion under the assumptions of its main theorem.