Abstract: The relationship between symmetry fields and first integrals of divergence-free vector fields is explored in three dimensions in light of its relevance to plasma physics and magnetic confinement fusion. A Noether-type Theorem is known: for each such symmetry, there corresponds a conserved quantity. The extent to which the converse is true is investigated. In doing so, a reformulation of this Noether-type Theorem is found for which the converse holds on what is called the toroidal region. Some consequences of the methods presented are quick proofs of the existence of flux coordinates for magnetic fields in high generality; without needing to assume a symmetry such as in the cases of magneto-hydrostatics (MHS) or quasi-symmetry.
Talk time in other timezones: AEST 9:00 AM Fri 14 Apr, JST 8:00 AM Fri 14 Apr, AWST 7:00 AM Fri 14 Apr, CEST 1:00 AM Fri 14 Apr, BST 12:00 AM Fri 14 Apr, UTC 23:00 Thu 13 Apr, EDT 7:00 PM Thu 13 Apr, CDT 6:00 PM Thu 13 Apr, MDT 5:00 PM Thu 13 Apr, MST 4:00 PM Thu 13 Apr