PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Kris Jenssen.

Title:Active Scalar Equations and a Geodynamo Model.
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Susan Friedlander, University of Southern California
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.

Room Reservation Information

Room Number:MB216
Date:10 / 17 / 2011
Time:03:35pm - 04:25pm