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Department of Mathematics,
University of California San Diego

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Department Colloquium

Dallas Albritton

Princeton University

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

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 a one-parameter family of distinct Leray solutions with zero initial velocity and identical body force. This is joint work with Elia Brué and Maria Colombo.

Ioan Bejenaru and Andrej Zlatos

November 4, 2022

4:00 PM

APM 6402

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