*HYBRID TALK* ANALYSIS OF FLUIDS AND RELATED TOPICS: On Moffatt's magnetic relaxation equations SPEAKER: Raj Beekie, NYU

Analysis of Fluids and Related Topics
  • Raj Beekie
  • NYU
  • Title: On Moffatt's magnetic relaxation equations
Oct 14, 2021
4:30 pm
Fine Hall 322

Hybrid Talk

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.