Finite time singularities to the 3D incompressible Euler equations for solutions in $C^{\infty }({\mathbb{R}}^3\setminus \{0\})\cap C^{1,\alpha }\cap L^2$

Diego Córdoba, Luis Martínez-Zoroa, Fan Zheng

We introduce a novel mechanism that reveals finite time singularities within the 1D De Gregorio model and the 3D incompressible Euler equations. Remarkably, we do not construct our…