Non-uniqueness of Leray solutions of the forced Navier-Stokes equations

Series
PDE Seminar
Time
Tuesday, August 30, 2022 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 168
Speaker
Dallas Albritton – Princeton University – dallas.albritton@ias.eduhttps://sites.google.com/view/albri050/dallas-albritton
Organizer
Gong Chen

In a seminal work, Leray demonstrated the existence of global weak solutions to the Navier-Stokes equations in three dimensions. Are Leray's solutions unique? This is a fundamental question in mathematical hydrodynamics, which we answer in the negative, within the `forced' category, by exhibiting two distinct Leray solutions with zero initial velocity and identical body force. This is joint work with Elia Brué and Maria Colombo.