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Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
PDE and Applied Math Seminar| Speaker: | Dallas Albritton, Institute for Advanced Study, Princeton |
| Location: | Zoom |
| Start time: | Thu, Apr 21 2022, 4:10PM |
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.