Non-uniqueness of Leray solutions to the forced Navier-Stokes equations
Speaker: Dallas Albritton, Princeton University
Location: Warren Weaver Hall 1302
Date: Thursday, September 22, 2022, 11 a.m.
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.