The Earth's Dynamo: a Mathematical Model

Earlier this semester we heard a fascinating talk by James Stone describing how the equations of compressible magnetohydrodynamics (MHD) can help us understand the Cosmos. Today we will return to Earth and describe a mathematical model, derived from the equations of incompressible MHD, that helps us understand the mechanism by which the motion of Earth’s fluid core creates and sustains the Earth’s magnetic field.



University of Southern California; Member, School of Mathematics