Existence of Leray-Hopf weak solutions is proved for a whole-core MHD model with conducting inner core and insulating exterior via Galerkin approximations after establishing a suitable Biot-Savart operator in the chosen function space.
Merrill,A magnetic reversal record, Nature389(1997), no
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Existence of solutions for a model of the Earth's magnetic field
Existence of Leray-Hopf weak solutions is proved for a whole-core MHD model with conducting inner core and insulating exterior via Galerkin approximations after establishing a suitable Biot-Savart operator in the chosen function space.