Blow-up for the 3D incompressible Euler equations: With and without forcing

The formation of singularities for the incompressible 3D Euler equations is a topic of great importance in fluid dynamics, which has seen many important developments in the last few years. In this talk, we will talk about two recent results regarding blow-up for the incompressible 3D Euler equations: First, we will discuss a non self-similar blow-up in the axi-symmetric without swirl case. Second, we discuss a blow-up for forced incompressible 3D Euler, with a force that is half a derivative above the well-posedness threshold.