[Indico] Elia Bruè, Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, 28/06/2022, 16:30 Europe/Rome
Title: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, Speaker(s): Elia Bruè, Institute for Advanced Study (Princeton), Date and time: 28 Jun 2022, 16:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna).
You can access the full event here: https://events.dm.unipi.it/e/100
Abstract --------
In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and identical body force. Building on a recent work of Vishik, we construct a linear unstable self-similar solution to the 3D Navier-Stokes with force. We employ the linear instability of the latter to build the second solution, which is a trajectory on the unstable manifold, in accordance with the predictions of Jia and Šverák.
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MSG
________________________________ Da: maria.stella.gelli@unipi.it maria.stella.gelli@unipi.it Inviato: lunedì 3 ottobre 2022 11:58 A: analysis-seminar@lists.dm.unipi.it Oggetto: [Analysis-seminar] [Indico] Elia Bruè, Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, 28/06/2022, 16:30 Europe/Rome
Title: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations, Speaker(s): Elia Bruè, Institute for Advanced Study (Princeton), Date and time: 28 Jun 2022, 16:30 (Europe/Rome), Lecture series: Analysis Seminar, Venue: Dipartimento di Matematica (Aula Magna).
You can access the full event here: https://events.dm.unipi.it/e/100
Abstract --------
In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and identical body force. Building on a recent work of Vishik, we construct a linear unstable self-similar solution to the 3D Navier-Stokes with force. We employ the linear instability of the latter to build the second solution, which is a trajectory on the unstable manifold, in accordance with the predictions of Jia and Šverák.
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