From instability to singularity formation in incompressible fluids
PDE Seminar
Meeting Details
For more information about this meeting, contact Rachel Weaver, Toan T. Nguyen, Alberto Bressan.
Speaker: Federico Pasqualotto, UC Berkeley
Abstract: In this talk, I will first review the singularity formation problem in incompressible fluid dynamics, describing how particle transport poses the main challenge in constructing blow-up solutions for the 3d incompressible Euler equations. I will then outline a new mechanism that allows us to overcome the effects of particle transport, leveraging the instability seen in the classical Taylor--Couette experiment. Using this mechanism, we construct the first swirl-driven singularity for the incompressible Euler equations in R^3. This is joint work with Tarek Elgindi (Duke University).
Room Reservation Information
Room Number: 114 McAllister
Date: 11/13/2024
Time: 2:30pm - 3:30pm