Finite-time Singularity formation for Strong Solutions to the axi-symmetric $3D$ Euler Equations

Tarek M. Elgindi, In-Jee Jeong

For all $\epsilon >0$, we prove the existence of finite-energy strong solutions to the axi-symmetric $3D$ Euler equations on the domains $ \{(x,y,z)\in\mathbb{R}^3: (1+ε|z|)^2\leq x^2+y^2\…