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On Moffatt's magnetic relaxation equations (in-person talk)

Analysis of Fluids and Related Topics

On Moffatt's magnetic relaxation equations (in-person talk)

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Raj Beekie, NYU
Fine Hall 322

In-Person

Zoom link: https://princeton.zoom.us/j/4745473988

In this talk we discuss the stability properties for a family of equations introduced by Moffatt to model magnetic relaxation. These models preserve the topology of magnetic streamlines, contain a cubic nonlinearity, and yet have a favorable L^2 energy structure. We address the local and global in time well-posedness of these models and establish a difference in the long time behavior of solutions with respect to weak and strong norms. Based on joint work with Susan Friedlander and Vlad Vicol.