We show that an isolated singularity at the origin 0 of a smooth solution (u, p) of the stationary Navier-Stokes equations is removable if the velocity u satisfies u ∈ Ln or u(x) = o( x -1) as x → 0. Here n ≥ 3 denotes the dimension. As a byproduct of the proof, we also obtain a new interior regularity theorem.
- Interior regularity
- Removable isolated singularity
- Stationary Navier-Stokes equations
ASJC Scopus subject areas
- Applied Mathematics