Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in ${\mathbb{R}}^3$

Dengjun Guo, Lifeng Zhao

We consider the three-dimensional incompressible Euler equation \begin{equation*}\left\{\begin{aligned} &\partial_t Ω+U \cdot \nabla Ω+Ω\cdot \nabla U=0 \\ &Ω(x,0)=Ω_0(x) \end{alig…