School Seminars and Colloquia

Active Scalar Equations and a Geodynamo Model.

Colloquium

by Professor Susan Friedlander


Institution: University of Southern California
Date: Fri 7th December 2012
Time: 2:00 PM
Location: Theatre 1, Old Geology Building

Abstract: We discuss an advection-diffusion equation that has been proposed by Keith Moffatt as a model for the Geodynamo. Even though the drift velocity can be strongly singular, we prove that the critically diffusive PDE is globally well-posed. We examine the nonlinear instability of a particular steady state and use continued fractions to construct a lower bound on the growth rate of a solution. This lower bound grows as the inverse of the diffusivity coefficient. In the Earth's fluid core this coefficient is expected to be very small. Thus the model does indeed produce very strong Geodynamo action.

This work is joint with Vlad Vicol.

Colloquium Website