中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人： Federico Pasqualotto(UC Berkeley, USA.  )

题  目：From instability to singularity formation in incompressible fluids

时  间：2024.04.08（星期一）9:00-10:00

地  点：ZOOM Meeting ID: 924 888 5804/Passcode: AMSS2022

摘 要：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).