Potential Singularity of the Axisymmetric Euler Equations with $C^{\alpha }$ Initial Vorticity for A Large Range of $\alpha$

Thomas Y. Hou, Shumao Zhang

We provide numerical evidence for a potential finite-time self-similar singularity of the 3D axisymmetric Euler equations with no swirl and with $C^{\alpha }$ initial vorticity for a large…