245 citations · 1.1k across the 42 of their papers we have counts for
5 papers · 1 filter
Peakons
Darryl D Holm
The peakons discussed here are singular solutions of the dispersionless Camassa-Holm (CH) shallow water wave equation in one spatial dimension. These are reviewed in the context of…
Variational principles for spin systems and the Kirchhoff rod
F. Gay-Balmaz, D. D. Holm, T. S. Ratiu
We obtain the affine Euler-Poincaré equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in…
Intermittency effects in rotating decaying turbulence
Arkadiusz K. Kuczaj, Bernard J. Geurts, Darryl D. Holm
Rotation modulates turbulence causing columnar structuring of a turbulent flow in case of sufficiently strong rotation. This yields significant changes in the flow characteristics…
The geodesic Vlasov equation and its integrable moment closures
Darryl D. Holm, Cesare Tronci
Various integrable geodesic flows on Lie groups are shown to arise by taking moments of a geodesic Vlasov equation on the group of canonical transformations. This was already known…
Dynamics of charged molecular strands
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +2
Euler-Poincare equations are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary distributions of interacting ri…