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Home » Euler/Navier Stokes (Part 2): Magnetic relaxation and the construction of 3D Euler equilibria

Seminar

Euler/Navier Stokes (Part 2): Magnetic relaxation and the construction of 3D Euler equilibria May 27, 2021 (09:00 AM PDT - 10:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Federico Pasqualotto (University of California, Berkeley)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

 

 

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To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract:

Magnetic relaxation is a conjectured general procedure to obtain steady solutions to the incompressible Euler equations by means of a long-time limit of an MHD system. In some regimes, the magnetic field is conjectured to “relax” to a steady state of the Euler equations as time goes to infinity.

In this talk, I will first review the classical problem of magnetic relaxation, connecting it to questions arising in topological hydrodynamics. I will then present a general construction of steady states of the 3D Euler equations by a long-time limit of a regularized MHD system. The regularization we impose already appears in the literature as Voigt regularization, and it is inviscid.

This is joint work with Peter Constantin.

 

 

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