Existence, uniqueness, regularity and instability results for the viscous magneto-geostrophic equation
Existence, uniqueness, regularity and instability results for the viscous magneto-geostrophic equation
We study the three-dimensional active scalar equation called the magneto-geostropic equation, which was proposed by Moffatt and Loper as a model for the geodynamo processes in the Earth's fluid core. When the viscosity of the fluid is positive, the constitutive law that relates the drift velocity u(x, t) and the …