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Nonlinear Analysis

Non-uniqueness of Leray solutions of the forced Navier-Stokes equations

Dallas Albritton,Institute for Advanced Study

Location:  Zoom
Date & time: Wednesday, 23 March 2022 at 9:30AM - 10:30AM

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 Brue and Maria Colombo.

Zoom link:
Meeting ID: 964 3090 5091 Passcode: 491508

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