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Session S37 - New Developments in Mathematical Fluid Dynamics

Monday, July 19, 17:00 ~ 17:25 UTC-3

Moffatt's Magnetic Relaxation Equations

Susan Friedlander

University of Southern California, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider a magnetic relaxation model ( MRE ) to describe a topology-preserving dissipative PDE whose solutions are conjectured to converge in the infinite time limit to an ideal magnetostatic equilibria B. As is well known, any such a vector field is also an example of an Euler equilibria for an ideal fluid. The MRE system is an active vector equation with a cubic nonlinearity and is thus unusual and challenging.

Joint work with Rajendra Beekie ( Courant Institute, USA ) and Vlad Vicol ( Courant Institute , USA).

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