Darryl Holm

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Darryl Holm is affiliated with the following schools: University of California, Berkeley, Imperial College London, University of Michigan

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Darryl Holm

Mathematics

#4723

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#6694

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#1606

USA Rank

Applied Mathematics

#113

World Rank

#128

Historical Rank

#52

USA Rank

Measure Theory

#718

World Rank

#968

Historical Rank

#286

USA Rank

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Mathematics

Darryl Holm's Degrees

PhD Applied Mathematics University of California, Berkeley

Why Is Darryl Holm Influential?

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According to Wikipedia, Darryl Holm is an American applied mathematician, and Professor of Applied Mathematics and Mathematical Physics in the Department of Mathematics at Imperial College London. He studied Physics at the University of Minnesota , and Physics and Mathematics at the University of Michigan . He joined the Theoretical Design Division of Los Alamos National Laboratory in 1972 where he worked on the physics of strong shock waves and high-temperature hydrodynamic phenomena. At LANL Darryl also wrote his PhD dissertation entitled "Symmetry breaking in fluid dynamics: Lie group reducible motions for real fluids", receiving his PhD in 1976, supervised by Roy Axford. A result discovered in this work was later used to substantiate the accuracy of the Los Alamos on-site yield verification method for the US-USSR Threshold Test Ban Treaty . In 1980, Darryl moved to the Theoretical Division, where he helped found the Center for Nonlinear Studies and served as one of its acting directors.

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Darryl Holm's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories (1998) (976)
A New Integrable Shallow Water Equation (1994) (882)
Nonlinear stability of fluid and plasma equilibria (1985) (874)
A New Integrable Equation with Peakon Solutions (2002) (681)
The Navier–Stokes-alpha model of fluid turbulence (2001) (446)
The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory (2001) (422)
An integrable shallow water equation with linear and nonlinear dispersion. (2001) (395)
Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow (1998) (354)
EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION (1998) (340)
On a Leray–α model of turbulence (2005) (313)
Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves (2003) (277)
A connection between the Camassa–Holm equations and turbulent flows in channels and pipes (1999) (266)
Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs (2002) (264)
Variational principles for stochastic fluid dynamics (2014) (255)
The Camassa-Holm equations and turbulence (1999) (244)
Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions (2009) (238)
On asymptotically equivalent shallow water wave equations (2003) (228)
Low-dimensional behaviour in the complex Ginzburg-Landau equation (1988) (216)
Regularization modeling for large-eddy simulation (2002) (215)
Direct numerical simulations of the Navier–Stokes alpha model (1999) (205)
The geometry of peaked solitons and billiard solutions of a class of integrable PDE's (1994) (195)
Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity (1983) (172)
Nonlinear systems of partial differential equations in applied mathematics (1986) (168)
Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation (2003) (162)
Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion (1999) (162)
Richardson number criterion for the nonlinear stability of three-dimensional stratified flow (1984) (156)
Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde (2002) (148)
Singular solutions of a modified two-component Camassa-Holm equation. (2008) (135)
Integrable and non-integrable equations with peakons (2002) (122)
Nonlinear stability analysis of stratified fluid equilibria (1986) (121)
Solution Properties of a 3D Stochastic Euler Fluid Equation (2017) (117)
Geometric Mechanics - Part I: Dynamics And Symmetry (2011) (112)
Book Review: Geometric Mechanics, Part II: Rotating, Translating and Rolling (2008) (109)
Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models (2004) (109)
Lagrangian Reduction, the Euler{Poincar e Equations, and Semidirect Products (1999) (108)
Soliton dynamics in computational anatomy (2004) (100)
Leray and LANS-α modelling of turbulent mixing (2005) (99)
Intermittency in the joint cascade of energy and helicity. (2002) (98)
The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type (2001) (93)
The Maxwell–Vlasov equations in Euler–Poincaré form (1998) (92)
The Euler-Poincare theory of Metamorphosis (2008) (91)
On the Clark–α model of turbulence: global regularity and long-time dynamics (2004) (89)
Modeling Mesoscale Turbulence in the Barotropic Double-Gyre Circulation (2003) (88)
Aggregation of finite-size particles with variable mobility. (2005) (88)
Formation of clumps and patches in self-aggregation of finite-size particles (2005) (86)
Simultaneous Multi-scale Registration Using Large Deformation Diffeomorphic Metric Mapping (2011) (86)
Long-time effects of bottom topography in shallow water (1996) (83)
Numerically Modeling Stochastic Lie Transport in Fluid Dynamics (2018) (83)
Euler-Poincare Dynamics of Perfect Complex Fluids (2001) (83)
Quaternions and particle dynamics in the Euler fluid equations (2005) (83)
The ideal Craik-Leibovich equations (1996) (82)
Resonant interactions in rotating homogeneous three-dimensional turbulence (2003) (81)
Hamiltonian chaos in nonlinear optical polarization dynamics (1990) (77)
Invariant Higher-Order Variational Problems (2010) (73)
The Momentum Map Representation of Images (2009) (73)
On the link between umbilic geodesics and soliton solutions of nonlinear PDEs (1995) (72)
The Euler-Poincaré Equations in Geophysical Fluid Dynamics (1999) (71)
Two-component CH system: inverse scattering, peakons and geometry (2010) (71)
A Class of Equations with Peakon and Pulson Solutions (with an Appendix by Harry Braden and John Byatt-Smith) (2004) (69)
Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics (2017) (69)
Stepwise Precession of the Resonant Swinging Spring (2001) (68)
CO2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy. (2004) (68)
Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics. (2002) (66)
Three-dimensional stability of elliptical vortex columns in external strain flows (1996) (66)
Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics (2001) (64)
Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics (1983) (64)
Symmetry Reduced Dynamics of Charged Molecular Strands (2010) (60)
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples (2010) (58)
Long-time shallow-water equations with a varying bottom (1997) (58)
Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid (1996) (56)
Multiple lie-poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations (1992) (55)
Poisson structures of superfluids (1982) (55)
Quantum computer on a class of one-dimensional Ising systems (1994) (52)
Noise and Dissipation on Coadjoint Orbits (2016) (48)
Nonlinear stability analysis of inviscid flows in three dimensions: incompressible fluids and barotropic fluids (1987) (48)
Canonical maps between poisson brackets in eulerian and Lagrangian descriptions of continuum mechanics (1983) (47)
Complexified dynamical systems (2007) (47)
Oscillation center theory and ponderomotive stabilization of low‐frequency plasma modes (1986) (46)
Integrable vs. nonintegrable geodesic soliton behavior (1999) (46)
Multisymplectic formulation of fluid dynamics using the inverse map (2007) (46)
The Hamiltonian structure of classical chromohydrodynamics (1983) (46)
Extended-geostrophic Hamiltonian models for rotating shallow water motion (1996) (45)
The analogy between spin glasses and Yang–Mills fluids (1988) (44)
Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows (2017) (44)
Modelling uncertainty using circulation-preserving stochastic transport noise in a 2-layer quasi-geostrophic model (2018) (44)
Modelling uncertainty using stochastic transport noise in a 2-layer quasi-geostrophic model (2018) (42)
Complex trajectories of a simple pendulum (2006) (42)
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion (2006) (42)
Hamilton’s principle for quasigeostrophic motion (1998) (41)
Zero‐helicity Lagrangian kinematics of three‐dimensional advection (1991) (41)
Implementation of the LANS-α turbulence model in a primitive equation ocean model (2007) (41)
Alpha-modeling Strategy for LES of Turbulent Mixing (2002) (40)
Navier-Stokes-alpha model: LES equations with nonlinear dispersion (2001) (40)
One-dimensional closure models for three-dimensional incompressible viscoelastic free jets: von Kármán flow geometry and elliptical cross-section (1988) (40)
Invariant Higher-Order Variational Problems II (2011) (40)
Transient vortex events in the initial value problem for turbulence. (2001) (40)
Variational principles for stochastic soliton dynamics (2015) (39)
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions (2008) (39)
Hall magnetohydrodynamics: Conservation laws and Lyapunov stability (1987) (39)
Hamiltonian formulation of the baroclinic quasigeostrophic fluid equations (1986) (39)
Noncanonical Hamiltonian formulation of ideal magnetohydrodynamics (1983) (38)
Hamiltonian formalism for general-relativistic adiabatic fluids (1985) (38)
Wave breaking for the Stochastic Camassa–Holm equation (2017) (37)
Hamiltonian balance equations (1996) (37)
Gauge-invariant poisson brackets for chromohydrodynamics (1982) (37)
Continuous and Discrete Clebsch Variational Principles (2007) (37)
Lagrange–Poincaré field equations (2009) (37)
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions (2011) (35)
Geodesic Vlasov equations and their integrable moment closures (2009) (35)
Leray and LANS-$\alpha$ modeling of turbulent mixing (2006) (35)
Taylor's Hypothesis, Hamilton's Principle, and the LANS-α Model for Computing Turbulence (2005) (35)
On billiard solutions of nonlinear PDEs (1999) (34)
The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations (1986) (34)
Computational Models of Turbulence: The LANS-α Model and the Role of Global Analysis (2005) (34)
Stochastic discrete Hamiltonian variational integrators (2016) (34)
Wave Structures and Nonlinear Balances in a Family of 1 + 1 Evolutionary PDEs (2008) (33)
The Rotor and the Pendulum (1991) (33)
Vlasov moments, integrable systems and singular solutions (2007) (33)
Three regularization models of the Navier–Stokes equations (2007) (33)
Highly turbulent solutions of the Lagrangian-averaged Navier-Stokes alpha model and their large-eddy-simulation potential. (2007) (32)
Moment invariants for the Vlasov equation (1990) (32)
Relativistic fluid dynamics as a Hamiltonian system (1984) (31)
A Geometric Framework for Stochastic Shape Analysis (2017) (31)
Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps (2013) (31)
Momentum Maps and Stochastic Clebsch Action Principles (2016) (30)
Новое интегрируемое уравнение с пиконными решениями@@@A New Integrable Equation with Peakon Solutions (2002) (30)
Simultaneous Fine and Coarse Diffeomorphic Registration: Application to Atrophy Measurement in Alzheimer's Disease (2010) (30)
The Lie-transformed Vlasov action principle: Relativistically covariant wave propagation and self-consistent ponderomotive effects☆ (1984) (29)
Implications of Kunita–Itô–Wentzell Formula for k-Forms in Stochastic Fluid Dynamics (2019) (28)
Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow (1988) (28)
Circulation and Energy Theorem Preserving Stochastic Fluids (2018) (28)
Data Assimilation for a Quasi-Geostrophic Model with Circulation-Preserving Stochastic Transport Noise (2019) (28)
Variational Principles for Lagrangian Averaged Fluid Dynamics (2001) (28)
Crossover-time in quantum boson and spin systems (1994) (27)
Smooth and peaked solitons of the CH equation (2010) (27)
Kármán–Howarth theorem for the Lagrangian-averaged Navier–Stokes–alpha model of turbulence (2001) (27)
Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations (1991) (27)
Stability of rigid body motion using the energy-Casimir method (1984) (26)
Geometry of Vlasov kinetic moments: A bosonic Fock space for the symmetric Schouten bracket (2008) (26)
The LANS-α and Leray turbulence parameterizations in primitive equation ocean modeling (2008) (26)
S I ] 1 2 M ay 2 00 2 A New Integrable Equation with Peakon Solutions (2002) (26)
Commutator errors in large-eddy simulation (2002) (26)
Hamiltonian dynamics of a charged fluid, including electro- and magnetohydrodynamics (1986) (26)
Length-scale estimates for the LANS-α equations in terms of the Reynolds number (2006) (25)
Helicity in the formation of turbulence (2007) (25)
Singular solutions, momentum maps and computational anatomy (2006) (25)
Euler-Poincare Formulation Of Hybrid Plasma Models (2010) (25)
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics (1986) (25)
Homoclinic chaos in a laser-matter system (1992) (25)
POISSON STRUCTURES OF SUPERCONDUCTORS (1983) (25)
The square root depth wave equations (2009) (24)
Waltzing peakons and compacton pairs in a cross-coupled Camassa–Holm equation (2011) (24)
Lagrangian particle paths and ortho-normal quaternion frames (2006) (24)
Multiscale Turbulence Models Based on Convected Fluid Microstructure (2012) (24)
The dynamics of the gradient of potential vorticity (2009) (24)
Geometric dynamics of optimization (2009) (24)
A Particle Filter for Stochastic Advection by Lie Transport (SALT): A case study for the damped and forced incompressible 2D Euler equation (2019) (23)
Variational Principles For Spin Systems And The Kirchhoff Rod (2009) (23)
Integrable and chaotic polarization dynamics in nonlinear optical beams (1989) (22)
Hamiltonian structure for two‐dimensional hydrodynamics with nonlinear dispersion (1988) (22)
Selective decay by Casimir dissipation in inviscid fluids (2013) (22)
Diffeomorphic Atlas Estimation using Karcher Mean and Geodesic Shooting on Volumetric Images (2011) (21)
Diffeomorphic Atlas Estimation using Geodesic Shooting on Volumetric Images (2012) (21)
Dispersive barotropic equations for stratified mesoscale ocean dynamics (1992) (21)
Expansion of a cold ion cloud (1981) (21)
A nonlinear analysis of the averaged Euler equations and a new diffeomorphism group (1999) (21)
Geometry of Nonadiabatic Quantum Hydrodynamics (2018) (21)
An optimal control formulation for inviscid incompressible ideal fluid flow (2000) (21)
Lagrangian Averaged Stochastic Advection by Lie Transport for Fluids (2019) (20)
Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance (1989) (20)
Chaotic laser-matter interaction (1991) (20)
Introduction to HVBK Dynamics (2001) (20)
Boundary Effects on Exact Solutions of the Lagrangian-Averaged Navier–Stokes-α Equations (2003) (19)
Baroclinic Instabilities of the Two-Layer Quasigeostrophic Alpha Model (2005) (19)
Lyapunov stability of relativistic fluids and plasmas (1986) (19)
A Stochastic Large Deformation Model for Computational Anatomy (2016) (19)
Double-bracket dissipation in kinetic theory for particles with anisotropic interactions (2007) (18)
Nonlinear stability of the Kelvin-Stuart cat's eyes flow (1986) (18)
Peakons (2009) (18)
Generalized poisson brackets and nonlinear Liapunov stability application to reduces mhd (1984) (18)
Modelling the Climate and Weather of a 2D Lagrangian-Averaged Euler–Boussinesq Equation with Transport Noise (2019) (17)
Multipressure regularization for multiphase flow (1984) (17)
Geometric gradient-flow dynamics with singular solutions (2007) (17)
Hamiltonian theory of relativistic magnetohydrodynamics with anisotropic pressure (1986) (17)
Lie-Poisson description of Hamiltonian ray optics (1991) (16)
Implementation of the LANS-alpha turbulence model in a primitive equation ocean model (2007) (16)
Nonlocal orientation-dependent dynamics of charged strands and ribbons (2009) (16)
YANG-MILLS MAGNETOHYDRODYNAMICS: NONRELATIVISTIC THEORY (1984) (16)
Secondary Instabilities of Flows with Elliptic Streamlines (1997) (16)
Geodesic boundary value problems with symmetry (2009) (15)
Hamiltonian Approach to Shape Spaces in a Diffeomorphic Framework : from the Discontinuous Image Matching Problem to a Stochastic Growth Model (2009) (15)
Electromagnetic solitary waves in magnetized plasmas (1985) (15)
Parameterizing interaction of disparate scales: Selective decay by Casimir dissipation in fluids (2012) (15)
Converging finite-strength shocks (1981) (15)
The Camassa-Holm hierarchy, related N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold (2002) (15)
A tri-Hamiltonian formulation of the self-induced transparency equations (1991) (15)
Discrete momentum maps for lattice EPDiff (2006) (15)
The Effect of Subfilter-Scale Physics on Regularization Models (2010) (15)
Low-noise picosecond soliton transmission by use of concatenated nonlinear amplifying loop mirrors (1997) (15)
Homoclinic chaos for ray optics in a fiber (1991) (15)
Geometric dissipation in kinetic equations (2007) (15)
Mean effects of turbulence on elliptic instability in fluids. (2002) (15)
A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation (2020) (14)
Symmetry breaking in fluid dynamics: Lie group reducible motions for real fluids (1976) (14)
Gyroscopic analog for collective motion of a stratified fluid (1986) (14)
Variational formulations of sound‐proof models (2013) (14)
New variational and multisymplectic formulations of the Euler–Poincaré equation on the Virasoro–Bott group using the inverse map (2018) (14)
On the Persistence Properties of the Cross-Coupled Camassa-Holm System (2013) (14)
Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics (2021) (14)
Geometric integrators for higher-order mechanics on Lie groups (2011) (14)
Inertial Range Scaling, Karman-Howarth Theorem and Intermittency for Forced and Decaying Lagrangian Averaged MHD in 2D (2005) (14)
Hamiltonian dynamics and stability analysis of neutral electromagnetic fluids with induction (1987) (14)
Toward an extended-geostrophic Euler-Poincare model for mesoscale oceanographic flow (1998) (13)
On Noether’s Theorem for the Euler–Poincaré Equation on the Diffeomorphism Group with Advected Quantities (2012) (13)
G-Strands (2011) (13)
Hamiltonian differencing of fluid dynamics (1985) (13)
Leray and LANS-α of turbulent mixing (2006) (13)
Inexact trajectory planning and inverse problems in the Hamilton–Pontryagin framework (2013) (13)
A geometric theory of selective decay with applications in MHD (2014) (13)
Stochastic Closures for Wave–Current Interaction Dynamics (2019) (12)
Rasetti-Regge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments (2003) (12)
Estimates for the LANS-alpha, Leray-alpha and Bardina models in terms of a Navier-Stokes Reynolds number (2008) (12)
Relativistic chromohydrodynamics and Yang-Mills Vlasov plasma (1984) (12)
Hamiltonian techniques for relativistic fluid dynamics and stability theory (1989) (12)
Interaction Dynamics of Singular Wave Fronts (2013) (12)
Lyapunov Exponents of Two Stochastic Lorenz 63 Systems (2017) (12)
Estimates for the LANS-α , Leray-α and Bardina Models in Terms of a Navier-Stokes Reynolds (2008) (12)
PONDEROMOTIVE HAMILTONIAN AND LYAPUNOV STABILITY FOR MAGNETICALLY CONFINED PLASMA IN THE PRESENCE OF rf FIELD (1984) (12)
Nonintegrability of a Fifth-Order Equation with Integrable Two-Body Dynamics (2003) (12)
Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden (2015) (12)
Hasimoto Transformation and Vortex Soliton Motion Driven by Fluid Helicity (2004) (12)
Perspectives on the formation of peakons in the stochastic Camassa–Holm equation (2019) (12)
Noise and dissipation in rigid body motion (2015) (11)
Stochastic mesoscale circulation dynamics in the thermal ocean (2020) (11)
A jetlet hierarchy for ideal fluid dynamics (2014) (11)
Spherical shock collapse in a non-ideal medium (1978) (11)
Stochastic Parametrization of the Richardson Triple (2017) (11)
Extended-geostrophic Euler–Poincaré models for mesoscale oceanographic flow (2002) (11)
Formation and evolution of singularities in anisotropic geometric continua (2006) (11)
A variational formulation of vertical slice models (2012) (11)
Recovery of solitons with nonlinear amplifying loop mirrors. (1995) (10)
Horseshoe chaos in a periodically perturbed polarized optical beam (1989) (10)
Quantum splines. (2012) (10)
Variational principles for fluid dynamics on rough paths (2020) (10)
The stochastic energy-Casimir method (2017) (10)
Relative geodesics in the special Euclidean group (2013) (10)
Stochastic effects of waves on currents in the ocean mixed layer (2020) (10)
Mathematics Of Planet Earth: A Primer (2017) (9)
Singular solutions for geodesic flows of Vlasov moments (2006) (9)
Smooth and Peaked Solitons of the Camassa-Holm Equation and Applications (2011) (9)
A Euler–Poincaré framework for the multilayer Green–Nagdhi equations (2008) (9)
Exact geometric theory of dendronized polymer dynamics (2010) (9)
Dynamics of charged molecular strands (2009) (9)
Leray simulation of turbulent shear layers (2002) (9)
Lagrangian analysis of alignment dynamics for isentropic compressible magnetohydrodynamics (2006) (8)
Rotating Concentric Circular Peakons (2003) (8)
Helical states of nonlocally interacting molecules and their linear stability: a geometric approach (2010) (8)
Large Deformation Diffeomorphic Registration Using Fine and Coarse Strategies (2010) (8)
Hamiltonian statistical mechanics (2008) (8)
Theoretical and computational analysis of the thermal quasi-geostrophic model (2021) (8)
Predicting uncertainty in geometric fluid mechanics (2018) (8)
The bohmion method in nonadiabatic quantum hydrodynamics (2020) (8)
A multipressure regularization for multiphase flow (1986) (8)
Euler's fluid equations: Optimal control vs optimization (2009) (8)
Matrix G-strands (2013) (8)
Stability of planar multifluid plasma equilibria by Arnold's method (1983) (7)
Elliptic instability in nonlinear-reactive closure models for turbulence (2004) (7)
Uncertainty quantification for fluids versus electromagnetic waves (2017) (7)
Stochastic Variational Formulations of Fluid Wave–Current Interaction (2020) (7)
Interaction of particles with non-central potential: gradient flows and singular solutions for evolution of geometric continuum quantities (2006) (7)
Lyapunov stability of ideal compressible and incompressible fluid equilibria in three dimensions (1985) (7)
Lagrangian particle paths & orthonormal quaternion frames (2007) (7)
Integrable hierarchy , 3 × 3 constrained systems , and parametric and peaked stationary solutions (2002) (7)
Self-similar detonation waves (1983) (7)
THE SPECIAL ORTHOGONAL GROUP SO(3) (2011) (7)
Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations (2010) (6)
Kinetic models of oriented self-assembly (2008) (6)
Geometric evolution equations for order parameters (2008) (6)
Applications of Poisson Geometry to Physical Problems (2007) (6)
Selective decay in fluids with advected quantities: MHD and Hall MHD (2013) (6)
Homoclinic orbits and chaos in a second-harmonic generating optical cavity (1997) (6)
Emergent singular solutions of nonlocal density-magnetization equations in one dimension. (2007) (6)
Stochastic wave-current interaction in stratified shallow water dynamics (2019) (6)
Extreme events in solutions of hydrostatic and non-hydrostatic climate models (2009) (6)
Hamiltonian formulation of ferromagnetic hydrodynamics (1988) (6)
G-Strands on symmetric spaces (2017) (5)
Weak Dual Pairs and Jetlet Methods for Ideal Incompressible Fluid Models in $$n \ge 2$$n≥2 Dimensions (2015) (5)
Finite dimensionality in the laser equations in the good cavity limit (1988) (5)
Euler-alpha and vortex blob regularization of vortex sheet motion (2005) (5)
Applications of Lie groups to differential equations: Peter J. Olver, Springer Graduate Texts in Mathematics, 1986 (1988) (5)
Magnetic tornadoes: three-dimensional affine motions in ideal magnetohydrodynamics (1983) (5)
Hamiltonian structure and Lyapunov stability of a hyperbolic system of two-phase flow equations including surface tension (1986) (5)
Stochastic modelling in fluid dynamics: Itô versus Stratonovich (2020) (5)
Coriolis induced compressibility effects in rotating shear layers (2007) (5)
Dual pairs in resonances (2012) (5)
Variational Formulation of Stochastic Wave-Current Interaction (SWCI) (2020) (5)
Hydrodynamics and electrohydrodynamics of adiabatic multiphase fluids and plasmas (1986) (4)
Stretching & folding diagnostics in solutions of the three-dimensional Euler & Navier-Stokes equations (2010) (4)
Hamiltonian structure for Alfvén wave turbulence equations (1985) (4)
G-Strands and Peakon Collisions on Diff(R) ? (2012) (4)
Multipole Vortex Blobs (MVB): Symplectic Geometry and Dynamics (2015) (4)
Momentum Maps and Stochastic Clebsch Action Principles (2017) (4)
Finite dimensionality in the complex Ginzburg-Landau equation (1987) (4)
Quasiconservation laws for compressible three-dimensional Navier-Stokes flow. (2012) (4)
Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics (2001) (4)
Stochastic circulation dynamics in the ocean mixed layer (2020) (4)
Nonlinear stability of ideal fluid equilibria (1988) (4)
Integrable G-strands on semisimple Lie groups (2013) (4)
Nonlocal orientation-dependent dynamics of molecular strands (2008) (4)
On Kelvin waves in balance models (1997) (4)
Coupling of waves to sea surface currents via horizontal density gradients (2022) (4)
String Methods for Stochastic Image and Shape Matching (2018) (4)
The gradient of potential vorticity, quaternions and an orthonormal frame for fluid particles (2010) (4)
Multi-frequency Craik–Criminale solutions of the Navier–Stokes equations (2003) (3)
Rotating, translating and rolling (2008) (3)
An integrable hierarchy, parametric solution and traveling wave solution (2002) (3)
NEAR-INTEGRABILITY AND CHAOS IN A RESONANT-CAVITY LASER MODEL (1995) (3)
Reduced Singular Solutions of EPDiff Equations on Manifolds with Symmetry (2004) (3)
Renormalized HVBK dynamics for Superfluid Helium Turbulence (2001) (3)
Bounds on solutions of the rotating, stratified, incompressible, non-hydrostatic, three-dimensional Boussinesq equations (2016) (3)
Stochastic Evolution of Augmented Born–Infeld Equations (2017) (3)
Wave–current interaction on a free surface (2020) (3)
Alpha models for 3D Eulerian mean fluid circulation (1999) (3)
Stochastic metamorphosis with template uncertainties (2017) (3)
Lyapunov stability conditions for relativistic multifluid plasma (1986) (3)
Planar incompressible Yang-Mills magnetohydrodynamics (1984) (3)
Stochastic Metamorphosis in Imaging Science (2017) (3)
Un-reduction in field theory (2015) (3)
Dynamical chaos in SU (2) ® U ( 1 ) theory (1994) (3)
Toda lattice G-Strands (2013) (3)
Euler–Poincaré formulation and elliptic instability for nth-gradient fluids (2004) (3)
Highly turbulent solutions of LANS-alpha and their LES potential (2007) (3)
Two Examples of Integrable $G$-Strands (2011) (3)
Singular Solutions of Coss-coupled EPDiff Equations: Waltzing Peakons and Compacton Pairs (2012) (3)
Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations (2011) (2)
Solution properties of the incompressible Euler system with rough path advection (2021) (2)
Lagrangian Particle Kinematics in Three-Dimensional Convection (1990) (2)
Mathematical Modelling and Analysis of Complex Fluids and Active Media in Evolving Domains (2013) (2)
Euler – Poincaré Equations in Geophysical Fluid Dynamics 3 1 Introduction (2002) (2)
Nonlinear Regularization for Large-Eddy Simulation (2004) (2)
Kinetic models of heterogeneous dissipation (2007) (2)
1-D closure models for slender 3-D viscoelastic free jets: von Karman flow geometry and elliptical cross section (1988) (2)
Random Hamiltonian in thermal equilibrium (2009) (2)
Chaotic Dynamics Due to Competition Among Degenerate Modes in a Ring-Cavity Laser (1992) (2)
Comparing stochastic evolution of fluids and electromagnetic waves (2017) (2)
Noise and Dissipation on Coadjoint Orbits (2017) (2)
Неинтегрируемость уравнения пятого порядка с интегрируемой динамикой двух тел@@@Nonintegrability of a Fifth-Order Equation with Integrable Two-Body Dynamics (2003) (2)
Stochastic Modelling in Fluid Dynamics: It\^o vs Stratonovich (2019) (2)
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