Event time:
Thursday, March 17, 2022 - 4:15pm
Speaker:
Dallas Albritton
Speaker affiliation:
Institute for Advanced Study
Event description:
Abstract:
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.