Oliver Club

Dallas AlbrittonPrinceton University
Non-uniqueness of Leray solutions to the forced Navier-Stokes equations

Tuesday, November 15, 2022 - 4:00pm
Malott 532 (Lounge)

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 a one-parameter family of distinct Leray solutions with zero initial velocity and identical body force. This is joint work with Elia Brué and Maria Colombo.

Refreshments will be served at 3:30 PM.