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physics.plasm-ph2025
Plasma dynamics in thin domains
Darryl D. Holm, Ruiao Hu, Oliver D. Street
In the present work, we study the geometric structures of the Rotating Shallow Water Magnetohydrodynamics (RSW-MHD) equations through a Lie group invariant Euler-Poincaré variation…
physics.plasm-ph2024★ 1 cited
Deterministic and Stochastic Geometric Mechanics for Hall MHD
Darryl D. Holm, Ruiao Hu, Oliver D. Street
We derive new models of stochastic Hall magnetohydrodynamics (MHD) by using a symmetry-reduced stochastic Euler-Poincaré variational principle. The new stochastic Hall MHD theory h…