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Singularity formation in incompressible fluids

PDE and Applied Math Seminar

Speaker: Tarek Elgindi, UC San Diego
Location: 3106 MSB
Start time: Thu, Feb 1 2018, 2:10PM

We will discuss some recent results on singularity formation for finite-energy strong solutions to the 2D Boussinesq and 3D Euler systems based on the analysis of scale-invariant solutions. The work consists of three parts: local well-posedness in critical spaces, the analysis of scale-invariant solutions (which belong to those spaces), and then a cut-off argument to ensure finite-energy. This is a joint work with I. Jeong.