A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl

Ovidiu-Neculai Avadanei

We consider axisymmetric no-swirl solutions to the three-dimensional incompressible Euler equations, with initial velocity in $C^{1,\alpha }\cap L^2$, where $α\in\left[\frac{1}{3},1\righ…