The APDE seminar on Monday, 3/31, will be given by Anna Mazzucato (Penn State University) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PDT. To participate, please email Robert Schippa (rschippa@berkeley.edu).

Title: On the Euler equations with in-flow and out-flow boundary conditions.

Abstract: I will discuss recent results concerning the well-posedness and regularity for the incompressible Euler equations when in-flow and out-flow boundary conditions are imposed on parts of the boundary, motivated by applications to boundary layers. This is joint work with Gung-Min Gie (U. Louisville, USA) and James Kelliher (UC Riverside, USA). I will also discuss energy dissipation and enstrophy production in the zero-viscosity limit at outflow, joint work with Jincheng Yang (U Chicago and IAS), Vincent Martinez (CUNY, Hunter College), and Alexis Vasseur (UT Austin).