Non-uniqueness of Leray solutions to the forced Navier-Stokes equations
Dallas Albritton (Princeton University)
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 Brué and Maria Colombo.
MathematicsPhysics
Audience: researchers in the topic
Nečas Seminar on Continuum Mechanics
Series comments: This seminar was founded on December 14, 1966.
Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).
Organizers: | Miloslav Feistauer, Petr Knobloch, Martin Kružík*, Šárka Nečasová* |
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