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SUMMARY:Michael Roop (Chalmers University of Technology\, Sweden)
DTSTART:20230831T150000Z
DTEND:20230831T153000Z
DTSTAMP:20260423T035707Z
UID:Wisla23/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Wisla23/21/"
 >Lie-Poisson methods for incompressible magnetohydrodynamics on the sphere
  [part of Workshop]</a>\nby Michael Roop (Chalmers University of Technolog
 y\, Sweden) as part of Mapping the Interdisciplinary Horizons of AI: Safet
 y\, Functional Programming\, Information Geometry\n\n\nAbstract\nWe presen
 t a novel structure preserving numerical method for Lie-Poisson systems on
  the dual of semidirect product Lie algebras. The method preserves the und
 erlying geometry\, namely the Lie-Poisson structure and all the Casimirs\,
  and nearly preserves the Hamiltonian function. We illustrate the method o
 n two models describing the motion of magnetic fluids\, the incompressible
  magnetohydrodynamics equations and the Alfvén wave turbulence equations.
  For the latter case\, we reveal the formation of large scale quasi-period
 ic vortex blob dynamics.\n
LOCATION:https://researchseminars.org/talk/Wisla23/21/
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