Global well-posedness of the 3D Navier-Stokes equations with helical $L^1$ vorticity

Francisco Gancedo, Antonio Hidalgo-Torné

We show that the Navier-Stokes equations on ${\mathbb{R}}^2\times \mathbb{T}$ are globally well posed for initial vorticities that are both helically symmetric and integrable. This clas…