Publications (99)
The Square Root Depth Wave Equations
Colin C. Cotter, Darryl D. Holm, James R. Percival
Stochastic Metamorphosis in Imaging Science
Darryl D. Holm
The Euler-Poincare Equations in Geophysical Fluid Dynamics
Darryl D. Holm, Jerrold E. Marsden, Tudor S. Ratiu
Collisionless kinetic theory of rolling molecules
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
Transient vortex events in the initial value problem for turbulence
Darryl D. Holm, Robert M. Kerr
Regularization modeling for large-eddy simulation
Bernard J. Geurts, Darryl D. Holm
Variational Principles for Stochastic Fluid Dynamics
Darryl D. Holm
Multi-frequency Craik-Criminale solutions of the Navier-Stokes equations
Bruce R. Fabijonas, Darryl D. Holm
Navier-Stokes-alpha model: LES equations with nonlinear dispersion
J. A. Domaradzki, Darryl D. Holm
Euler-Poincaré equations for $G$-Strands
Darryl D. Holm, Rossen I. Ivanov
Singular solutions, momentum maps and computational anatomy
Colin J. Cotter, Darryl D. Holm
Mean effects of turbulence on elliptic instability in fluids
Bruce R. Fabijonas, Darryl D. Holm
Rotating Concentric Circular Peakons
Darryl D. Holm, Vakhtang Putkaradze, Samuel N. Stechmann
Euler-Poincare formulation and elliptic instability for nth-gradient fluids
Bruce R. Fabijonas, Darryl D. Holm
Applications of Poisson Geometry to Physical Problems
Darryl D. Holm
Renormalized HVBK dynamics for Superfluid Helium Turbulence
Darryl D. Holm
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions
François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu
The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's of Shallow Water and Dym Type
Mark S. Alber, Roberto Camassa, Yuri N. Fedorov +2
Singular solutions of a modified two-component Camassa-Holm equation
Darryl D. Holm, Lennon à Náraigh, Cesare Tronci
Length-scale estimates for the LANS-alpha equations in terms of the Reynolds number
John D. Gibbon, Darryl D. Holm
Interaction Dynamics of Singular Wave Fronts
Darryl D. Holm, Martin F. Staley
Leray and LANS-$α$ modeling of turbulent mixing
Bernard J. Geurts, Darryl D. Holm
Elliptic instability in the Lagrangian-averaged Euler-Boussinesq-alpha equations
Bruce R. Fabijonas, Darryl D. Holm
Un-reduction
Martins Bruveris, David C. P. Ellis, Francois Gay-Balmaz +1
Random Hamiltonian in thermal equilibrium
Dorje C. Brody, David C. P. Ellis, Darryl D. Holm
Euler-Poincaré equations for anelastic fluid flows
Darryl D. Holm
Euler-Poincaré Dynamics of Perfect Complex Fluids
Darryl D. Holm
Lagrange-Poincare field equations
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +1
The effect of subfilter-scale physics on regularization models
Jonathan Pietarila Graham, Darryl D. Holm, Pablo Mininni +1
Toda lattice G-Strands
Darryl D. Holm, Alexander M. Lucas
The Euler-Poincare theory of Metamorphosis
Darryl D. Holm, Alain Trouve, Laurent Younes
Invariant higher-order variational problems II
François Gay-Balmaz, Darryl D. Holm, David M. Meier +2
Commutator-errors in large-eddy simulation
Bernard J. Geurts, Darryl D. Holm
Variational Principles for Lagrangian Averaged Fluid Dynamics
Darryl D. Holm
Intermittency in the Joint Cascade of Energy and Helicity
Qiaoning Chen, Shiyi Chen, Gregory L. Eyink +1
Helical states of nonlocally interacting molecules and their linear stability: geometric approach
Steve Benoit, Darryl D. Holm, Vakhtang Putkaradze
Noise and dissipation in rigid body motion
Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm
Multiscale Turbulence Models Based on Convected Fluid Microstructure
Darryl D. Holm, Cesare Tronci
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model
Matthew W. Hecht, Darryl D. Holm, Mark R. Petersen +1
Kinetic models of heterogeneous dissipation
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
Reduced Singular Solutions of EPDiff Equations on Manifolds with Symmetry
Darryl D. Holm, Jonathan Munn, Samuel N. Stechmann
Quaternions and particle dynamics in the Euler fluid equations
John D. Gibbon, Darryl D. Holm, Robert M. Kerr +1
Geometric order parameter equations
Darryl D. Holm, Vakhtang Putkaradze
Direct Numerical Simulations of the Navier-Stokes Alpha Model
Shiyi Chen, Darryl D. Holm, Len G. Margolin +1
Complex Trajectories of a Simple Pendulum
Carl M. Bender, Darryl D. Holm, Daniel W. Hook
Euler's fluid equations: Optimal Control vs Optimization
Darryl D. Holm
Extreme events in solutions of hydrostatic and non-hydrostatic climate models
J. D. Gibbon, Darryl D. Holm
Singular solutions for geodesic flows of Vlasov moments
John Gibbons, Darryl D. Holm, Cesare Tronci
Smooth and Peaked Solitons of the CH equation
Darryl D. Holm, Rossen I. Ivanov
On the persistence properties of the cross-coupled Camassa-Holm system
David Henry, Darryl D. Holm, Rossen I. Ivanov
The n:m resonance dual pair
Darryl D. Holm, Cornelia Vizman
Geometric gradient-flow dynamics with singular solutions
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
Nonlocal orientation-dependent dynamics of molecular strands
Darryl D. Holm, Vakhtang Putkaradze
Stepwise Precession of the Resonant Swinging Spring
Darryl D. Holm, Peter Lynch
Hasimoto Transformation and Vortex Soliton Motion Driven by Fluid Helicity
Darryl D. Holm, Samuel N. Stechmann
Alpha-modeling strategy for LES of turbulent mixing
Bernard J. Geurts, Darryl D. Holm
The Camassa-Holm hierarchy, related N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
Darryl D. Holm, Zhijun Qiao
An integrable shallow water equation with peaked solitons
Roberto Camassa, Darryl D. Holm
Emergent singular solutions of non-local density-magnetization equations in one dimension
Darryl D. Holm, Lennon O. Naraigh, Cesare Tronci
Geometric dissipation in kinetic equations
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
Kármán--Howarth Theorem for the Lagrangian averaged Navier-Stokes alpha model
Darryl D. Holm
Intermittency effects in rotating decaying turbulence
Arkadiusz K. Kuczaj, Bernard J. Geurts, Darryl D. Holm
Matrix G-Strands
Darryl D. Holm, Rossen I. Ivanov
Quantum splines
Dorje C. Brody, Darryl D. Holm, David M. Meier
The geodesic Vlasov equation and its integrable moment closures
Darryl D. Holm, Cesare Tronci
$G$-Strands and Peakon Collisions on ${\rm Diff}(\mathbb{R})$
Darryl D. Holm, Rossen I. Ivanov
Formation of clumps and patches in self-aggregation of finite size particles
Darryl D. Holm, Vakhtang Putkaradze
A Nonlinear Analysis of the Averaged Euler Equations
Darryl D. Holm, Shinar Kouranbaeva, Jerrold E. Marsden +2
Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation
Darryl D. Holm, Jerrold E. Marsden
Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
Darryl D. Holm
Soliton Dynamics in Computational Anatomy
Darryl D. Holm, J. Tilak Ratnanather, Alain Trouvé +1
An Euler Poincaré framework for the multilayer Green Nagdhi equations
James R. Percival, Colin J. Cotter, Darryl D. Holm
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
Darryl D. Holm, Cesare Tronci
$G$-Strands
Darryl D. Holm, Rossen I. Ivanov, James R. Percival
Double bracket dissipation in kinetic theory for particles with anisotropic interactions
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
Complexified Dynamical Systems
Carl M. Bender, Darryl D. Holm, Daniel W. Hook
Relative Geodesics in the Special Euclidean Group
Darryl D. Holm, Lyle Noakes, Joris Vankerschaver
Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps
Martins Bruveris, Darryl D. Holm
Hamiltonian statistical mechanics
Dorje C. Brody, David C. P. Ellis, Darryl D. Holm
Formation and Evolution of Singularities in Anisotropic Geometric Continua
Darryl D. Holm, Vakhtang Putkaradze
Aggregation of finite size particles with variable mobility
Darryl D. Holm, Vakhtang Putkaradze
An integrable hierarchy, parametric solution and traveling wave solution
Darryl D. Holm, Zhijun Qiao
Bounds on solutions of the rotating, stratified, incompressible, non-hydrostatic, three-dimensional Boussinesq equations
John D. Gibbon, Darryl D. Holm
Noise and dissipation on coadjoint orbits
Alexis Arnaudon, Alex L. Castro, Darryl D. Holm
Euler-Poincaré formulation of hybrid plasma models
Darryl D. Holm, Cesare Tronci
Variational Principles of Lagrangian Averaged Fluid Dynamics
Darryl D. Holm
Averaged Lagrangians and the mean dynamical effects of fluctuations in continuum mechanics
Darryl D. Holm
Integrable hierarchy, $3\times 3$ constrained systems, and parametric and peaked stationary solutions
Darryl D. Holm, Zhijun Qiao
Integrable G-Strands on semisimple Lie groups
François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu
Exact geometric theory of dendronized polymer dynamics
François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze +1
An Integrable Shallow Water Equation with Linear and Nonlinear Dispersion
Holger R. Dullin, Georg Gottwald, Darryl D. Holm
Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde
Darryl D. Holm, Martin F. Staley
Inexact trajectory planning and inverse problems in the Hamilton--Pontryagin framework
Christopher L. Burnett, Darryl D. Holm, David M. Meier
The Camassa-Holm equations as a closure model for turbulent channel flow
Shiyi Chen, Ciprian Foias, Darryl D. Holm +3
Geometric integrators for higher-order mechanics on Lie groups
Christopher L. Burnett, Darryl D. Holm, David M. Meier
Wave Structures and Nonlinear Balances in a Family of 1+1 Evolutionary PDEs
Darryl D. Holm, Martin F. Staley
Hamilton's principle for quasigeostrophic motion
Darryl D. Holm, Vladimir Zeitlin
A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith)
Darryl D. Holm, Andrew N. W. Hone
Dynamics of charged molecular strands
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +2