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.
3, e202470012 (en), eprint: https://onlinelibrary.wiley.com/doi/pdf/10.1002/gamm.202470012
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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.