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physics.flu-dyn2024
Collisions of Burgers Bores with Nonlinear Waves
Albert. Dombret, Darryl D. Holm, Ruiao Hu +2
This paper treats nonlinear wave current interactions in their simplest form, as an overtaking collision. In one spatial dimension, the paper investigates the collision interaction…
physics.flu-dyn2024
Geometric theory of perturbation dynamics around non-equilibrium fluid flows
Darryl D. Holm, Ruiao Hu, Oliver D. Street
The present work investigates the evolution of linear perturbations of time-dependent ideal fluid flows with advected quantities, expressed in terms of the second order variations…
physics.flu-dyn2024
Geometric Mechanics of the Vertical Slice Model
Darryl D. Holm, Ruiao Hu, Oliver D. Street
The goals of the present work are to: (i) investigate the dynamics of oceanic frontogenesis by taking advantage of the geometric mechanics underlying the class of Vertical Slice Mo…