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).