|DATE||September 04 (Wed), 2019|
|TITLE||Singularity formation for 3D Euler equations|
We show finite time blow up for strong solutions to the 3D Euler equations in two types of corner domains. The first one in axisymmetric domain and the solution is allowed to be smooth if the angle is small. In the second case, the blowing up solution is smooth inside the domain can be extended to entire R^3 by a sequence of reflections. In both cases the solutions can be compactly supported and have finite energy in particular. This is based on joint works with T. Elgindi.