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SUMMARY:MHD equilibria in toroidal geometries - Daniel Peralta-Salas (ICMA
 T)
DTSTART:20220218T111500Z
DTEND:20220218T121500Z
UID:TALK167390@talks.cam.ac.uk
DESCRIPTION:The computation of 3D magnetohydrodynamics (MHD) equilibria is
  of major importance for magnetic confinement devices such as tokamaks or 
 stellarators. In this talk I will present recent results on the existence 
 of stepped pressure MHD equilibria in 3D toroidal domains\, where the plas
 ma current exhibits an arbitrary number of current sheets. The toroidal do
 mains where these equilibria are shown to exist do not need to be small pe
 rturbations of an axisymmetric domain\, and in fact they can have any knot
 ted&nbsp\;topology. The proof involves three main ingredients: a Cauchy-Ko
 valevskaya theorem for Beltrami fields\, a Hamilton-Jacobi equation on the
  two-dimensional torus\, and a KAM theorem for divergence-free fields in t
 hree dimensions. This is based on joint work with A. Enciso and A. Luque.
LOCATION:Seminar Room 1\, Newton Institute
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