245 citations · 667 across the 24 of their papers we have counts for
11 papers · 1 filter
Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
John Gibbons, Darryl D Holm, Cesare Tronci
The dynamics of Vlasov kinetic moments is shown to be Lie-Poisson on the dual Lie algebra of symmetric contravariant tensor fields. The corresponding Lie bracket is identified with…
Elliptic instability in the Lagrangian-averaged Euler-Boussinesq-alpha equations
Bruce R. Fabijonas, Darryl D. Holm
We examine the effects of turbulence on elliptic instability of rotating stratified incompressible flows, in the context of the Lagragian-averaged Euler-Boussinesq-alpha, or \laeba…
Euler-Poincare formulation and elliptic instability for nth-gradient fluids
Bruce R. Fabijonas, Darryl D. Holm
The energy of an gradient fluid depends on its Eulerian velocity gradients of order . A variational principle is introduced for the dynamics of gradient fluids…
Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation
Darryl D. Holm, Jerrold E. Marsden
We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the {\it Euler-Poincaré equations associated with the diffeomorphism group (of…
Alpha-modeling strategy for LES of turbulent mixing
Bernard J. Geurts, Darryl D. Holm
The -modeling strategy is followed to derive a new subgrid parameterization of the turbulent stress tensor in large-eddy simulation (LES). The LES- modeling yields an explici…
Variational Principles of Lagrangian Averaged Fluid Dynamics
Darryl D. Holm
The Lagrangian average (LA) of the ideal fluid equations preserves their fundamental transport structure. This transport structure is responsible for the Kelvin circulation theorem…