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Holm, Darryl Dallas

Author ID: holm.darryl-d Recent zbMATH articles by "Holm, Darryl Dallas"
Published as: Holm, Darryl D.; Holm, D. D.; Holm, Darryl
Homepage: http://wwwf.imperial.ac.uk/~dholm/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

38 single-authored
21 Cotter, Colin John
20 Ratiu, Tudor Stefan
16 Crisan, Dan O.
15 Gay-Balmaz, François
15 Marsden, Jerrold Eldon
15 Putkaradze, Vakhtang
15 Tronci, Cesare
14 Gibbon, John D.
11 Ivanov, Rossen I.
11 Kupershmidt, Boris A.
10 Camassa, Roberto
9 Arnaudon, Alexis
8 Hu, Ruiao
7 Street, Oliver D.
7 Titi, Edriss Saleh
6 Luesink, Erwin
6 Meier, David M.
5 Alber, Mark S.
5 Chen, Shiyi
5 Foiaș, Ciprian
5 Geurts, Bernard J.
5 Kovačič, Gregor
4 Ellis, David C. P.
4 Fabijonas, Bruce R.
4 Mininni, Pablo D.
4 Olson, Eric J.
4 Percival, James R.
4 Pouquet, Annick G.
3 Bruveris, Martins
3 Chapron, Bertrand
3 Doering, Charles Rogers
3 Gibbons, John
3 Gottwald, Georg A.
3 Graham, Jonathan Pietarila
3 Jacobs, Henry O.
3 Leahy, James-Michael
3 Levermore, C. David
3 Mémin, Etienne
3 Nicolaenko, Basil
3 Sommer, Stefan
3 Tratnik, M. V.
3 Tyranowski, Tomasz M.
3 Wingate, Beth A.
2 Abarbanel, Henry D. I.
2 Allen, John S.
2 Bender, Carl M.
2 Bethencourt de León, Aythami
2 Burnett, Christopher L.
2 Castrillón López, Marco
2 Cendra, Hernán
2 Cruzeiro, Ana-Bela
2 De Castro, Alex Lucio
2 Drivas, Theodore Dimitrios
2 Dullin, Holger R.
2 Fedorov, Yuri N.
2 Hecht, Matthew W.
2 Hone, Andrew N. W.
2 Hook, Daniel W.
2 Hyman, James M.
2 Kerr, Robert M.
2 Lang, Oana
2 Margolin, Len G.
2 Mensah, Prince Romeo
2 Nilssen, Torstein K.
2 Pelloni, Beatrice
2 Petersen, Mark R.
2 Pryer, Tristan
2 Radomska, Anna
2 Staley, Martin F.
2 Stechmann, Samuel N.
2 Takao, So
2 Vialard, François-Xavier
2 Vizman, Cornelia
2 Weinstein, Alan David
2 Wynne, Shannon
1 Aceves, Alejandro B.
1 Albeverio, Sergio A.
1 Almaguer, Juan Antonio
1 Alonso-Orán, Diego
1 Axford, Roy A.
1 Bayly, Bruce J.
1 Bechtel, Stephen E.
1 Bendall, Thomas M.
1 Berman, Gennady P.
1 Bishop, Alan Reginald
1 Bröcker, Jochen
1 Brody, Dorje C.
1 Bulgakov, Evgeny N.
1 Calderhead, Ben
1 Cao, Chongsheng
1 Chang, Dong Eui
1 Chen, Qiaoning
1 Cheraghi, Davoud
1 Cheskidov, Alexey
1 Degasperis, Antonio
1 Diamantakis, Theo
1 Doolen, Gary D.
1 Duan, Jinqiao
1 Ecke, Robert E.
1 Eldering, Jaap
...and 52 more Co-Authors
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Serials

28 Physica D
16 Journal of Nonlinear Science
14 Journal of Physics A: Mathematical and Theoretical
11 Nonlinearity
9 Physics of Fluids
9 Physics of Fluids
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Journal of Fluid Mechanics
7 Physics Letters. A
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Journal of Geometric Mechanics
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
4 Journal of Physics A: Mathematical and General
3 Communications in Mathematical Physics
3 Foundations of Computational Mathematics
3 SIAM Journal on Applied Dynamical Systems
2 International Journal of Multiphase Flow
2 Letters in Mathematical Physics
2 Physics Reports
2 Advances in Mathematics
2 Advances in Applied Mathematics
2 Journal of Dynamics and Differential Equations
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Physical Review Letters
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications in Mathematical Sciences
2 Journal of Geometry and Symmetry in Physics
2 Mathematics of Planet Earth
1 Archive for Rational Mechanics and Analysis
1 Geophysical and Astrophysical Fluid Dynamics
1 Inverse Problems
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Theoretical and Mathematical Physics
1 Fluid Dynamics Research
1 Journal of Geometry and Physics
1 BIT
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Mathematics and Computers in Simulation
1 Philosophical Transactions of the Royal Society of London. Ser. A
1 Quarterly of Applied Mathematics
1 Studies in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Journal of Scientific Computing
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journal of Mathematical Imaging and Vision
1 Chaos
1 Journal of Nonlinear Mathematical Physics
1 Journal of Turbulence
1 Stochastics and Dynamics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Multiscale Modeling & Simulation
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Fields Institute Communications
1 Lectures in Applied Mathematics
1 Lecture Notes in Physics. New Series m: Monographs
1 Séminaire de Mathématiques Supérieures. Séminaire Scientifique OTAN (NATO Advanced Study Institute)
1 Oxford Texts in Applied and Engineering Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 Springer Proceedings in Mathematics & Statistics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Proceedings A. Royal Society of London
1 Annals of Mathematical Sciences and Applications
1 Advanced Textbooks in Mathematics

Publications by Year

Citations contained in zbMATH Open

219 Publications have been cited 7,658 times in 3,870 Documents Cited by Year
An integrable shallow water equation with peaked solitons. Zbl 0972.35521
Camassa, Roberto; Holm, Darryl D.
1993
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
491
1994
The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020
Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
378
1998
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
282
1985
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
212
2002
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
194
2001
On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
165
2005
Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525
Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
158
1998
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
158
2003
Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves. Zbl 1032.76518
Dullin, Holger R.; Gottwald, Georg A.; Holm, Darryl D.
158
2003
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
124
2004
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
120
1999
Variational principles for stochastic fluid dynamics. Zbl 1371.35219
Holm, Darryl D.
118
2015
The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
116
1994
Geometric mechanics and symmetry. From finite to infinite dimensions. Zbl 1175.70001
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina
113
2009
Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE. Zbl 1010.35066
Holm, Darryl D.; Staley, Martin F.
109
2003
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
107
1988
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
101
1999
Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080
Cao, Chongsheng; Holm, Darryl D.; Titi, Edriss S.
81
2004
Integrable and non-integrable equations with peakons. Zbl 1053.37039
Degasperis, A.; Holm, D. D.; Hone, A. N. W.
78
2003
Direct numerical simulations of the Navier-Stokes alpha model. Zbl 1194.76080
Chen, Shiyi; Holm, Darryl D.; Margolin, Len G.; Zhang, Raoyang
77
1999
Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity. Zbl 1194.76285
Holm, Darryl D.; Kupershmidt, Boris A.
55
1983
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
52
2019
The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Zbl 1001.37062
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
49
2001
Formation of clumps and patches in self-aggregation of finite-size particles. Zbl 1125.82021
Holm, Darryl D.; Putkaradze, Vakhtang
46
2006
Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion. Zbl 1194.76062
Holm, Darryl D.
44
1999
Leray and LANs-\(\alpha\) modelling of turbulent mixing. Zbl 1273.76139
Geurts, Bernard J.; Holm, Darryl D.
43
2006
Geometric mechanics. Part I: Dynamics and symmetry. 2nd ed. Zbl 1227.70001
Holm, Darryl D.
41
2011
Geometric mechanics. Part I: Dynamics and symmetry. Zbl 1160.70001
Holm, Darryl D.
41
2008
Quaternions and particle dynamics in the Euler fluid equations. Zbl 1145.76012
Gibbon, J. D.; Holm, D. D.; Kerr, R. M.; Roulstone, I.
40
2006
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples. Zbl 1213.37097
Holm, D. D.; Ivanov, R. I.
40
2010
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
40
2012
Two-component CH system: inverse scattering, peakons and geometry. Zbl 1216.35175
Holm, D. D.; Ivanov, R. I.
37
2011
Regularization modeling for large-eddy simulation. Zbl 1185.76144
Geurts, Bernard J.; Holm, Darryl D.
37
2002
A class of equations with peakon and pulson solutions (with an appendix by Harry Braden and John Byatt-Smith). Zbl 1362.35316
Holm, Darryl D.; Hone, N. W.
36
2005
Hamiltonian chaos in nonlinear optical polarization dynamics. Zbl 1211.37097
David, D.; Holm, D. D.; Tratnik, M. V.
36
1990
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
36
1996
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
35
2019
Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101
Cotter, C. J.; Gottwald, G. A.; Holm, D. D.
33
2017
Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics. Zbl 1080.76504
Holm, Darryl D.
33
2002
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
33
1986
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042
David, D.; Holm, D. D.
33
1992
Symmetry reduced dynamics of charged molecular strands. Zbl 1333.70029
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
31
2010
The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations. Zbl 0611.70015
Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
30
1986
Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics. Zbl 1098.76547
Holm, Darryl D.
30
2002
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
28
2011
Lagrangian reduction, the Euler-Poincaré equations, and semidirect products. Zbl 0989.37052
Cendra, Hernán; Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
28
1998
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. Zbl 1381.70001
Holm, Darryl D.
27
2011
On the link between umbilic geodesics and soliton solutions of nonlinear PDEs. Zbl 0835.35125
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
27
1995
The Euler-Poincaré theory of metamorphosis. Zbl 1186.68413
Holm, Darryl D.; Trouvé, Alain; Younes, Laurent
27
2009
Geometric mechanics. Part II: Rotating, translating and rolling. Zbl 1149.70001
Holm, Darryl D.
26
2008
Resonant interactions in rotating homogeneous three-dimensional turbulence. Zbl 1097.76033
Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L.; Holm, Darryl D.
25
2005
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
24
2011
Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid. Zbl 0900.76718
Gjaja, Ivan; Holm, Darryl D.
24
1996
Stepwise precession of the resonant swinging spring. Zbl 1140.37350
Holm, Darryl D.; Lynch, Peter
24
2002
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
23
2016
Euler-Poincaré dynamics of perfect complex fluids. Zbl 1114.37308
Holm, Darryl D.
23
2002
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
23
2012
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
23
2018
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion. Zbl 1090.76015
Holm, D. D.; Nitsche, M.; Putkaradze, V.
22
2006
The ideal Craik-Leibovich equations. Zbl 0899.76082
Holm, Darryl D.
22
1996
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
20
2018
Three-dimensional stability of elliptical vortex columns in external strain flows. Zbl 0872.76041
Bayly, B. J.; Holm, D. D.; Lifschitz, A.
20
1996
Complexified dynamical systems. Zbl 1120.37050
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
20
2007
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
20
2007
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
19
1997
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
19
2011
Noise and dissipation on coadjoint orbits. Zbl 1384.37063
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D.
19
2018
The Maxwell-Vlasov equations in Euler-Poincaré form. Zbl 1031.76555
Cendra, Hernán; Holm, Darryl D.; Hoyle, Mark J. W.; Marsden, Jerrold E.
18
1998
Implementation of the LANS-\(\alpha\) turbulence model in a primitive equation ocean model. Zbl 1220.86001
Hecht, Matthew W.; Holm, Darryl D.; Petersen, Mark R.; Wingate, Beth A.
18
2008
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. Zbl 1444.62134
Cotter, Colin; Crisan, Dan; Holm, Darryl; Pan, Wei; Shevchenko, Igor
18
2020
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
17
2009
Geometry of nonadiabatic quantum hydrodynamics. Zbl 1421.35274
Foskett, Michael S.; Holm, Darryl D.; Tronci, Cesare
16
2019
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
16
2018
Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids. Zbl 0666.76073
Abarbanel, Henry D. I.; Holm, Darryl D.
16
1987
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
16
2018
Smooth and peaked solitons of the CH equation. Zbl 1202.35226
Holm, Darryl D.; Ivanov, Rossen I.
14
2010
The rotor and the pendulum. Zbl 0744.70011
Holm, Darryl D.; Marsden, Jerrold E.
14
1991
Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion. Zbl 0643.76007
Holm, Darryl D.
14
1988
On billiard solutions of nonlinear PDEs. Zbl 0944.37032
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
14
1999
Hamilton’s principle for quasigeostrophic motion. Zbl 1185.76848
Holm, Darryl D.; Zeitlin, Vladimir
14
1998
Circulation and energy theorem preserving stochastic fluids. Zbl 1464.76023
Drivas, Theodore D.; Holm, Darryl D.
14
2020
Variational principles for Lagrangian-averaged fluid dynamics. Zbl 1040.76054
Holm, Darryl D.
14
2002
Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics. Zbl 1448.70059
Bethencourt de Léon, Aythami; Holm, Darryl D.; Luesink, Erwin; Takao, So
14
2020
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D.
13
2015
Complex trajectories of a simple pendulum. Zbl 1112.70020
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
13
2007
Vlasov moments, integrable systems and singular solutions. Zbl 1217.82053
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
13
2008
The analogy between spin glasses and Yang-Mills fluids. Zbl 0655.76099
Holm, Darryl D.; Kupershmidt, Boris A.
13
1988
Three regularization models of the Navier-Stokes equations. Zbl 1182.76288
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo D.; Pouquet, Annick
13
2008
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions. Zbl 1186.37090
Holm, Darryl D.; Tronci, Cesare
13
2009
A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
13
2020
Hamiltonian formulation of the baroclinic quasigeostrophic fluid equations. Zbl 0588.76188
Holm, Darryl D.
12
1986
The LANS-\(\alpha \) and Leray turbulence parameterizations in primitive equation ocean modeling. Zbl 1325.76086
Hecht, M. W.; Holm, D. D.; Petersen, M. R.; Wingate, B. A.
12
2008
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
12
2009
Selective decay by Casimir dissipation in inviscid fluids. Zbl 1322.76036
Gay-Balmaz, François; Holm, Darryl D.
12
2013
A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
11
2019
Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025
Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan
11
1984
Waltzing peakons and compacton pairs in a cross-coupled Camassa-Holm equation. Zbl 1225.35198
Cotter, Colin J.; Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R.
11
2011
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics. (Mathematical Seminar held at the University of Montréal, Canada, July 29 - August 16, 1985). Zbl 0594.00020
Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
11
1986
Hamiltonian balance equations. Zbl 0900.76719
Holm, Darryl D.
11
1996
Lagrangian reduction and wave mean flow interaction. Zbl 07736377
Holm, Darryl D.; Hu, Ruiao; Street, Oliver D.
1
2023
Deterministic and stochastic Euler-Boussinesq convection. Zbl 1529.65141
Holm, Darryl D.; Pan, Wei
1
2023
Theoretical and computational analysis of the thermal quasi-geostrophic model. Zbl 1529.35515
Crisan, D.; Holm, D. D.; Luesink, E.; Mensah, P. R.; Pan, W.
1
2023
Variational principles for fluid dynamics on rough paths. Zbl 1495.35145
Crisan, Dan; Holm, Darryl D.; Leahy, James-Michael; Nilssen, Torstein
6
2022
Solution properties of the incompressible Euler system with rough path advection. Zbl 1496.35295
Crisan, Dan; Holm, Darryl D.; Leahy, James-Michael; Nilssen, Torstein
2
2022
Nonlinear dispersion in wave-current interactions. Zbl 1513.76106
Holm, Darryl D.; Hu, Ruiao
1
2022
Stochastic wave-current interaction in thermal shallow water dynamics. Zbl 1468.76014
Holm, Darryl D.; Luesink, Erwin
6
2021
Stochastic effects of waves on currents in the ocean mixed layer. Zbl 1466.76013
Holm, Darryl D.; Hu, Ruiao
6
2021
The Bohmion method in nonadiabatic quantum hydrodynamics. Zbl 1507.81042
Holm, Darryl D.; Rawlinson, Jonathan I.; Tronci, Cesare
5
2021
Stochastic variational formulations of fluid wave-current interaction. Zbl 1464.76011
Holm, Darryl D.
3
2021
Wave-current interaction on a free surface. Zbl 1487.76016
Crisan, Dan; Holm, Darryl D.; Street, Oliver D.
2
2021
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. Zbl 1444.62134
Cotter, Colin; Crisan, Dan; Holm, Darryl; Pan, Wei; Shevchenko, Igor
18
2020
Circulation and energy theorem preserving stochastic fluids. Zbl 1464.76023
Drivas, Theodore D.; Holm, Darryl D.
14
2020
Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics. Zbl 1448.70059
Bethencourt de Léon, Aythami; Holm, Darryl D.; Luesink, Erwin; Takao, So
14
2020
A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
13
2020
Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise. Zbl 1446.35117
Alonso-Orán, Diego; Bethencourt de León, Aythami; Holm, Darryl D.; Takao, So
9
2020
Lagrangian averaged stochastic advection by Lie transport for fluids. Zbl 1471.76024
Drivas, Theodore D.; Holm, Darryl D.; Leahy, James-Michael
9
2020
Stochastic modelling in fluid dynamics: Itô versus Stratonovich. Zbl 1472.76045
Holm, Darryl D.
5
2020
Predicting uncertainty in geometric fluid mechanics. Zbl 1439.49083
Gay-Balmaz, François; Holm, Darryl D.
4
2020
Lyapunov exponents of two stochastic Lorenz 63 systems. Zbl 1459.37066
Geurts, Bernard J.; Holm, Darryl D.; Luesink, Erwin
4
2020
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
52
2019
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
35
2019
Geometry of nonadiabatic quantum hydrodynamics. Zbl 1421.35274
Foskett, Michael S.; Holm, Darryl D.; Tronci, Cesare
16
2019
A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
11
2019
Stochastic closures for wave-current interaction dynamics. Zbl 1427.76040
Holm, Darryl D.
8
2019
Stochastic parametrization of the Richardson triple. Zbl 1411.76036
Holm, Darryl D.
6
2019
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
23
2018
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
20
2018
Noise and dissipation on coadjoint orbits. Zbl 1384.37063
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D.
19
2018
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
16
2018
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
16
2018
New variational and multisymplectic formulations of the Euler-Poincaré equation on the Virasoro-Bott group using the inverse map. Zbl 1402.35247
Holm, Darryl D.; Tyranowski, Tomasz M.
6
2018
String methods for stochastic image and shape matching. Zbl 1455.94006
Arnaudon, Alexis; Holm, Darryl; Sommer, Stefan
3
2018
Un-reduction in field theory. Zbl 1385.58008
Arnaudon, Alexis; Castrillón López, Marco; Holm, Darryl D.
2
2018
Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101
Cotter, C. J.; Gottwald, G. A.; Holm, D. D.
33
2017
Noise and dissipation in rigid body motion. Zbl 1433.70042
Arnaudon, Alexis; De Castro, Alex L.; Holm, Darryl D.
7
2017
Multipole vortex blobs (MVB): symplectic geometry and dynamics. Zbl 1365.76212
Holm, Darryl D.; Jacobs, Henry O.
4
2017
\(G\)-strands on symmetric spaces. Zbl 1404.35383
Arnaudon, Alexis; Holm, Darryl D.; Ivanov, Rossen I.
3
2017
Stochastic geometric mechanics. CIB, Lausanne, Switzerland, January–June 2015. Zbl 1386.70002
3
2017
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
23
2016
Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions. Zbl 1368.37076
Cotter, C. J.; Eldering, J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M.
2
2016
Variational principles for stochastic fluid dynamics. Zbl 1371.35219
Holm, Darryl D.
118
2015
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D.
13
2015
Geometry, mechanics, and dynamics. The legacy of Jerry Marsden. Selected papers presented at a focus program, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 2012. Zbl 1317.53004
1
2015
A geometric theory of selective decay with applications in MHD. Zbl 1308.37029
Gay-Balmaz, François; Holm, Darryl D.
7
2014
Matrix G-strands. Zbl 1351.37259
Holm, Darryl D.; Ivanov, Rossen I.
5
2014
A jetlet hierarchy for ideal fluid dynamics. Zbl 1296.76106
Cotter, C. J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M.
3
2014
Integrable \(G\)-strands on semisimple Lie groups. Zbl 1298.22012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
1
2014
Selective decay by Casimir dissipation in inviscid fluids. Zbl 1322.76036
Gay-Balmaz, François; Holm, Darryl D.
12
2013
Geometric dynamics of optimization. Zbl 1271.49003
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2013
On the persistence properties of the cross-coupled Camassa-Holm system. Zbl 1300.35124
Henry, David; Holm, Darryl; Ivanov, Rossen
9
2013
Inexact trajectory planning and inverse problems in the Hamilton-Pontryagin framework. Zbl 1371.49025
Burnett, Christopher L.; Holm, Darryl D.; Meier, David M.
8
2013
A variational formulation of vertical slice models. Zbl 1371.86019
Cotter, C. J.; Holm, D. D.
5
2013
\(G\)-strands and peakon collisions on \(\text{Diff}(\mathbb R)\). Zbl 1275.37032
Holm, Darryl D.; Ivanov, Rossen I.
4
2013
Relative geodesics in the special Euclidean group. Zbl 1371.53035
Holm, D. D.; Noakes, L.; Vankerschaver, J.
3
2013
Singular solutions of Euler-Poincaré equations on manifolds with symmetry. Zbl 1331.53100
Holm, D. D.; Munn, J.; Stechmann, S. N.
2
2013
On Noether’s theorem for the Euler-Poincaré equation on the diffeomorphism group with advected quantities. Zbl 1352.37173
Cotter, C. J.; Holm, D. D.
2
2013
Collisionless kinetic theory of rolling molecules. Zbl 1259.82055
Holm, Darryl D.; Putkaradze, Vakhtang; Tronci, Cesare
1
2013
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
40
2012
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
23
2012
Multiscale turbulence models based on convected fluid microstructure. Zbl 1426.76195
Holm, Darryl D.; Tronci, Cesare
9
2012
\(G\)-strands. Zbl 1339.37048
Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R.
8
2012
Euler-Poincaré formulation of hybrid plasma models. Zbl 1291.35404
Holm, Darryl D.; Tronci, Cesare
7
2012
Exact geometric theory of dendronized polymer dynamics. Zbl 1257.82113
Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
4
2012
Dual pairs in resonances. Zbl 1264.53072
Holm, Darryl D.; Vizman, Cornelia
2
2012
Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations. Zbl 1296.35130
Gibbon, John D.; Holm, Darryl D.
1
2012
Geometric mechanics. Part I: Dynamics and symmetry. 2nd ed. Zbl 1227.70001
Holm, Darryl D.
41
2011
Two-component CH system: inverse scattering, peakons and geometry. Zbl 1216.35175
Holm, D. D.; Ivanov, R. I.
37
2011
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
28
2011
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. Zbl 1381.70001
Holm, Darryl D.
27
2011
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
24
2011
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
19
2011
Waltzing peakons and compacton pairs in a cross-coupled Camassa-Holm equation. Zbl 1225.35198
Cotter, Colin J.; Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R.
11
2011
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François
6
2011
The effect of subfilter-scale physics on regularization models. Zbl 1317.76051
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo; Pouquet, Annick
6
2011
Smooth and peaked solutions of the Camassa-Holm equation and applications. Zbl 1231.35167
Holm, Darryl; Ivanov, Rossen
5
2011
Helical states of nonlocally interacting molecules and their linear stability: a geometric approach. Zbl 1208.81237
Benoit, S.; Holm, D. D.; Putkaradze, V.
4
2011
Extreme events in solutions of hydrostatic and non-hydrostatic climate models. Zbl 1219.86004
Gibbon, J. D.; Holm, D. D.
2
2011
The effect of subfilter-scale physics on regularization models. Zbl 1303.76035
Graham, Jonathan Pietarila; Holm, Darryl; Mininni, Pablo; Pouquet, Annick
1
2011
Applications of Poisson geometry to physical problems. Zbl 1218.37084
Holm, Darryl D.
1
2011
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples. Zbl 1213.37097
Holm, D. D.; Ivanov, R. I.
40
2010
Symmetry reduced dynamics of charged molecular strands. Zbl 1333.70029
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
31
2010
Smooth and peaked solitons of the CH equation. Zbl 1202.35226
Holm, Darryl D.; Ivanov, Rossen I.
14
2010
The square root depth wave equations. Zbl 1211.76028
Cotter, C. J.; Holm, D. D.; Percival, J. R.
7
2010
The dynamics of the gradient of potential vorticity. Zbl 1278.76017
Gibbon, J. D.; Holm, D. D.
6
2010
Geodesic boundary value problems with symmetry. Zbl 1375.49032
Cotter, Colin J.; Holm, Darryl D.
5
2010
Double-bracket dissipation in kinetic theory for particles with anisotropic interactions. Zbl 1211.82046
Holm, D. D.; Putkaradze, V.; Tronci, C.
5
2010
Geometric mechanics and symmetry. From finite to infinite dimensions. Zbl 1175.70001
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina
113
2009
The Euler-Poincaré theory of metamorphosis. Zbl 1186.68413
Holm, Darryl D.; Trouvé, Alain; Younes, Laurent
27
2009
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
17
2009
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions. Zbl 1186.37090
Holm, Darryl D.; Tronci, Cesare
13
2009
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
12
2009
Nonlocal orientation-dependent dynamics of charged strands and ribbons. Zbl 1170.74020
Holm, Darryl D.; Putkaradze, Vakhtang
9
2009
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
9
2009
Euler’s fluid equations: Optimal control vs optimization. Zbl 1234.76008
Holm, Darryl D.
1
2009
Geometric mechanics. Part I: Dynamics and symmetry. Zbl 1160.70001
Holm, Darryl D.
41
2008
Geometric mechanics. Part II: Rotating, translating and rolling. Zbl 1149.70001
Holm, Darryl D.
26
2008
Implementation of the LANS-\(\alpha\) turbulence model in a primitive equation ocean model. Zbl 1220.86001
Hecht, Matthew W.; Holm, Darryl D.; Petersen, Mark R.; Wingate, Beth A.
18
2008
Vlasov moments, integrable systems and singular solutions. Zbl 1217.82053
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
13
2008
Three regularization models of the Navier-Stokes equations. Zbl 1182.76288
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo D.; Pouquet, Annick
13
2008
...and 119 more Documents
all top 5

Cited by 3,708 Authors

122 Holm, Darryl Dallas
104 Yin, Zhaoyang
58 Qiao, Zhijun
55 Liu, Yue
54 Gay-Balmaz, François
51 Tian, Lixin
43 Marsden, Jerrold Eldon
40 Ratiu, Tudor Stefan
37 Li, Jibin
36 Zhou, Shouming
34 Qu, Changzheng
32 Guo, Boling
32 Lai, Shaoyong
31 Liu, Zhengrong
31 Mu, Chunlai
31 Tronci, Cesare
28 Gao, Hongjun
27 Mi, Yongsheng
27 Titi, Edriss Saleh
26 Constantin, Adrian
26 Rebholz, Leo Gregory
23 Guo, Zhengguang
23 Himonas, A. Alexandrou
23 Lenells, Jonatan
22 Chen, Aiyong
21 Cotter, Colin John
21 Freire, Igor Leite
21 Fu, Ying
21 Liu, Xingxing
20 Escher, Joachim
20 Ivanov, Rossen I.
20 Putkaradze, Vakhtang
20 Szmigielski, Jacek
19 Esen, Oğul
19 Li, Jinlu
18 Zhu, Min
17 Colombo, Leonardo Jesus
17 Hernández-Bermejo, Benito
17 Kolev, Boris
17 Moon, Byungsoo
17 Wu, Xinglong
17 Yan, Kai
16 Chen, Guanrong
16 Duan, Jinqiao
16 Holden, Helge
16 Li, Nianhua
16 Li, Yongsheng
16 Tang, Hao
16 Yan, Wei
16 Zhou, Yong
15 Crisan, Dan O.
15 Yang, Shaojie
15 Zhu, Weipeng
14 Bauer, Martin
14 Camassa, Roberto
14 Carrillo de la Plata, José Antonio
14 Coclite, Giuseppe Maria
14 Guan, Chunxia
14 Gui, Guilong
14 Jiang, Zaihong
14 Shen, Chunyu
14 Yin, Jiuli
13 Chen, Robin Ming
13 Chen, Yong
13 Grmela, Miroslav
13 Guo, Fei
13 Oliver, Marcel
13 Wang, Haiquan
13 Yu, Yanghai
13 Zhu, Mingxuan
12 Bloch, Anthony Michael
12 Chang, Xiangke
12 Deugoue, Gabriel
12 Guha, Partha
12 Hu, Qiaoyi
12 Layton, William J.
12 Martín de Diego, David
12 Modin, Klas
12 Morrison, Philip J.
11 Anco, Stephen C.
11 Arnaudon, Alexis
11 Ding, Danping
11 Eckhardt, Jonathan
11 Geurts, Bernard J.
11 Grunert, Katrin
11 Liu, Xiaochuan
11 Misiołek, Gerard
11 Neda, Monika
11 Raynaud, Xavier
11 Shepelsky, Dmitry
11 Sheu, Tony Wen-Hann
11 Vialard, François-Xavier
11 Wang, Ying
11 Zhang, Lei
10 Boutet de Monvel, Anne Marie
10 Gibbon, John D.
10 Hone, Andrew N. W.
10 Karlsen, Kenneth Hvistendahl
10 Kupershmidt, Boris A.
10 Lăzureanu, Cristian
...and 3,608 more Authors
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Cited in 408 Serials

195 Journal of Mathematical Physics
174 Physica D
171 Journal of Differential Equations
127 Journal of Mathematical Analysis and Applications
123 Physics Letters. A
104 Journal of Fluid Mechanics
97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
86 Journal of Nonlinear Science
83 Journal of Nonlinear Mathematical Physics
75 Discrete and Continuous Dynamical Systems
74 Nonlinear Analysis. Real World Applications
69 Applied Mathematics and Computation
61 Applicable Analysis
58 Monatshefte für Mathematik
58 Physics of Fluids
52 Chaos, Solitons and Fractals
49 Journal of Computational Physics
48 Journal of Geometry and Physics
46 Journal of Physics A: Mathematical and Theoretical
43 Communications in Mathematical Physics
43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
42 Applied Mathematics Letters
41 Journal of Mathematical Fluid Mechanics
39 Studies in Applied Mathematics
39 Journal of Geometric Mechanics
38 Abstract and Applied Analysis
36 Communications in Nonlinear Science and Numerical Simulation
32 Mathematical Methods in the Applied Sciences
31 Journal of Functional Analysis
30 Archive for Rational Mechanics and Analysis
29 Nonlinearity
26 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 Journal of Computational and Applied Mathematics
24 Journal of Evolution Equations
23 Journal of Dynamics and Differential Equations
23 Boundary Value Problems
22 Advances in Mathematics
22 International Journal of Geometric Methods in Modern Physics
21 Journal of Statistical Physics
21 Theoretical and Mathematical Physics
21 Discrete and Continuous Dynamical Systems. Series B
20 Geophysical and Astrophysical Fluid Dynamics
19 Communications in Partial Differential Equations
19 SIAM Journal on Mathematical Analysis
18 Wave Motion
17 Computers & Mathematics with Applications
17 Reports on Mathematical Physics
17 Chaos
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Qualitative Theory of Dynamical Systems
15 International Journal of Modern Physics B
15 Computers and Fluids
15 Letters in Mathematical Physics
15 Quarterly of Applied Mathematics
15 Mathematical Problems in Engineering
15 Nonlinear Dynamics
15 Regular and Chaotic Dynamics
15 Advances in Mathematical Physics
15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
14 Communications on Pure and Applied Analysis
13 Acta Applicandae Mathematicae
13 Numerical Methods for Partial Differential Equations
12 Mathematics and Computers in Simulation
12 Journal of Scientific Computing
12 Calculus of Variations and Partial Differential Equations
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
12 Advances in Difference Equations
12 Discrete and Continuous Dynamical Systems. Series S
11 Computer Methods in Applied Mechanics and Engineering
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Applied Numerical Mathematics
11 Annals of Physics
11 Journal of Hyperbolic Differential Equations
11 SIAM Journal on Imaging Sciences
10 Communications on Pure and Applied Mathematics
10 Differential Geometry and its Applications
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Stochastic Processes and their Applications
10 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
10 European Journal of Mechanics. B. Fluids
10 Foundations of Computational Mathematics
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Journal of Applied Analysis and Computation
9 Acta Mathematicae Applicatae Sinica. English Series
9 Applied Mathematical Modelling
9 NoDEA. Nonlinear Differential Equations and Applications
9 Journal of Inequalities and Applications
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Journal of Applied Mathematics
8 Applied Mathematics and Optimization
8 Numerical Functional Analysis and Optimization
8 Proceedings of the American Mathematical Society
8 Journal of Mathematical Imaging and Vision
7 Physica A
7 Physics Reports
7 BIT
7 Mathematische Nachrichten
7 Celestial Mechanics and Dynamical Astronomy
7 Multibody System Dynamics
...and 308 more Serials
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Cited in 57 Fields

2,498 Partial differential equations (35-XX)
1,351 Fluid mechanics (76-XX)
1,006 Dynamical systems and ergodic theory (37-XX)
414 Mechanics of particles and systems (70-XX)
309 Numerical analysis (65-XX)
218 Ordinary differential equations (34-XX)
192 Differential geometry (53-XX)
172 Probability theory and stochastic processes (60-XX)
158 Global analysis, analysis on manifolds (58-XX)
144 Geophysics (86-XX)
135 Mechanics of deformable solids (74-XX)
130 Statistical mechanics, structure of matter (82-XX)
110 Calculus of variations and optimal control; optimization (49-XX)
94 Quantum theory (81-XX)
73 Systems theory; control (93-XX)
53 Biology and other natural sciences (92-XX)
48 Operator theory (47-XX)
45 Optics, electromagnetic theory (78-XX)
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4 Group theory and generalizations (20-XX)
4 Algebraic topology (55-XX)
3 Combinatorics (05-XX)
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