2 problems

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Garfinkle–Glass conjecture on magnetostatic static solutions
The examples under discussion are metrically complete static solutions in a fixed spatial topology, with electromagnetic matter restricted to magnetic energy. Garfinkle–Glass conje…
Conjectureopengeneral-relativity magnetostatics static-spacetimesarXiv posted 2 days ago
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Surjectivity conjecture for the surface Biot–Savart operator
Surface Biot–Savart surjectivity conjecture. The operator $\operatorname{BS}_S$ may generate any harmonic vector field on the plasma domain $P$ , in particular any square-integrable…
Conjectureopenbiot-savart-operator magnetostatics stellarator-designarXiv posted 2 days ago

Garfinkle–Glass conjecture on magnetostatic static solutions