*IN-PERSON TALK* ANALYSIS OF FLUIDS AND RELATED TOPICS: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, Dallas Albritton, IAS

Analysis of Fluids and Related Topics
  • Dallas Albritton
  • Institute for Advanced Study
  • Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
Mar 24, 2022
3 pm
Fine Hall 314

In-Person and Online Talk
Zoom link: https://princeton.zoom.us/j/4745473988

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.