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

26 Feb 2018 Elgindi Tarek M. Jeong In-Jee

For all $\epsilon>0$, we prove the existence of finite-energy strong solutions to the axi-symmetric $3D$ Euler equations on the domains $\{(x,y,z)\in\mathbb{R}^3: (1+\epsilon|z|)^2\leq x^2+y^2\}$ which become singular in finite time. We further show that solutions with 0 swirl are necessarily globally regular... (read more)

PDF Abstract

# Code Add Remove Mark official

No code implementations yet. Submit your code now

# Categories

• ANALYSIS OF PDES
• FLUID DYNAMICS