Departmental Colloquium
Susan Friedlander
University of Southern California
Asymptotics for magnetostrophic turbulence in the Earth's fluid core
Abstract: We consider the three dimensional magnetohydrodynamics (MHD) equations in
the presence of stochastic forcing as a model for magnetostrophic
turbulence. For scales relevant to the Earth's fluid core this MHD system
is very rich in small parameters. We discuss results concerning the
asymptotics of the stochastically forced PDEs in the limit of vanishing
parameters. In particular we establish that the system sustains ergodic
statistically steady states thus providing a rigorous foundation for
magnetostrophic turbulence.
This is joint work with Juraj Foldes, Nathan Glatt-Holtz and Geordie
Richards.
Wednesday April 26, 2017 at 3:00 PM in SEO 636