Analysis Seminar

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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.

Synopsis:

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.