M. Jo

collaborators

2 papers

math.AP2025

Cusp Formation in Vortex Patches

Tarek M. Elgindi, Min Jun Jo

We prove instantaneous cusp formation for any initial vortex patch with acute corners. This was conjectured to occur in the numerical literature.

math.AP2022

Velocity blow-up in $C^{1} \cap H^{2}$ for the 2D Euler equations

Min Jun Jo, Junha Kim

We give a vorticity-dynamical proof of $C^{1} \cap H^{2}$ -illposedness of the 2D Euler equations. Our construction shows that the unique Yudovich solution escapes both $C^{1}$ and $H^{2}$ i…

Cusp Formation in Vortex Patches

Velocity blow-up in C1∩H2 for the 2D Euler equations

Velocity blow-up in $C^{1} \cap H^{2}$ for the 2D Euler equations