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

38 single-authored
20 Ratiu, Tudor Stefan
15 Cotter, Colin John
15 Gay-Balmaz, François
15 Marsden, Jerrold Eldon
15 Putkaradze, Vakhtang
14 Tronci, Cesare
11 Gibbon, John D.
11 Kupershmidt, Boris A.
10 Camassa, Roberto
10 Ivanov, Rossen I.
7 Arnaudon, Alexis
7 Crisan, Dan O.
7 Titi, Edriss Saleh
5 Alber, Mark S.
5 Chen, Shiyi
5 Foiaş, Ciprian Ilie
5 Geurts, Bernard J.
5 Kovačič, Gregor
5 Meier, David M.
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 Doering, Charles Rogers
3 Gibbons, John
3 Gottwald, Georg A.
3 Graham, Jonathan Pietarila
3 Jacobs, Henry O.
3 Levermore, C. David
3 Luesink, Erwin
3 Nicolaenko, Basil
3 Pan, Wei
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 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 Margolin, Len G.
2 Pelloni, Beatrice
2 Petersen, Mark R.
2 Staley, Martin F.
2 Stechmann, Samuel N.
2 Takao, So
2 Vialard, François-Xavier
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 Benoit, Sylvain
1 Berman, Gennady P.
1 Bishop, Alan Reginald
1 Bröcker, Jochen
1 Brody, Dorje C.
1 Bulgakov, Evgeny N.
1 Burnett, Christopher L.
1 Calderhead, Ben
1 Cao, Chongsheng
1 Castrillón López, Marco
1 Chang, Dong Eui
1 Chen, Qiaoning
1 Cheraghi, Davoud
1 Cheskidov, Alexey
1 Degasperis, Antonio
1 Doolen, Gary D.
1 Duan, Jinqiao
1 Ecke, Robert E.
1 Eldering, Jaap
1 Eyink, Gregory L.
1 Flandoli, Franco
1 Forest, Mark Gregory
1 Foskett, Michael S.
1 Fringer, Oliver B.
1 Gabitov, Ildar R.
1 Gjaja, Ivan M.
1 Hameiri, Eliezer
1 Henry, David
1 Herrera, Julio E.
1 Hone, N. W.
...and 40 more Co-Authors
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Serials

26 Physica D
15 Journal of Nonlinear Science
13 Journal of Physics A: Mathematical and Theoretical
9 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
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 Journal of Geometric Mechanics
4 Journal of Physics A: Mathematical and General
3 Communications in Mathematical Physics
3 Foundations of Computational Mathematics
2 International Journal of Multiphase Flow
2 Letters in Mathematical Physics
2 Physics Reports
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 SIAM Journal on Applied Dynamical Systems
2 Communications in Mathematical Sciences
2 Journal of Geometry and Symmetry in Physics
1 Archive for Rational Mechanics and Analysis
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 Advances in Mathematics
1 BIT
1 Indiana University Mathematics Journal
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 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 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

202 Publications have been cited 5,870 times in 3,009 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.
369
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.
294
1998
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
227
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.
184
2002
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
163
2001
On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
138
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.
136
1998
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.
128
2003
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
127
2003
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.
106
1999
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
97
2004
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
95
1988
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.
91
2003
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.
90
1994
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
88
1999
Geometric mechanics and symmetry. From finite to infinite dimensions. Zbl 1175.70001
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina
73
2009
Variational principles for stochastic fluid dynamics. Zbl 1371.35219
Holm, Darryl D.
63
2015
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.
63
2004
Direct numerical simulations of the Navier-Stokes alpha model. Zbl 1194.76080
Chen, Shiyi; Holm, Darryl D.; Margolin, Len G.; Zhang, Raoyang
62
1999
Integrable and non-integrable equations with peakons. Zbl 1053.37039
Degasperis, A.; Holm, D. D.; Hone, A. N. W.
55
2003
Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity. Zbl 1194.76285
Holm, Darryl D.; Kupershmidt, Boris A.
50
1983
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.
41
2001
Leray and LANs-\(\alpha\) modelling of turbulent mixing. Zbl 1273.76139
Geurts, Bernard J.; Holm, Darryl D.
38
2006
Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion. Zbl 1194.76062
Holm, Darryl D.
36
1999
Formation of clumps and patches in self-aggregation of finite-size particles. Zbl 1125.82021
Holm, Darryl D.; Putkaradze, Vakhtang
35
2006
Regularization modeling for large-eddy simulation. Zbl 1185.76144
Geurts, Bernard J.; Holm, Darryl D.
32
2002
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
31
1996
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
30
2012
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
29
1986
Two-component CH system: inverse scattering, peakons and geometry. Zbl 1216.35175
Holm, D. D.; Ivanov, R. I.
29
2011
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples. Zbl 1213.37097
Holm, D. D.; Ivanov, R. I.
28
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.
27
1986
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.
27
2005
Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics. Zbl 1080.76504
Holm, Darryl D.
26
2002
Geometric mechanics. Part I: Dynamics and symmetry. Zbl 1160.70001
Holm, Darryl D.
26
2008
Geometric mechanics. Part I: Dynamics and symmetry. 2nd ed. Zbl 1227.70001
Holm, Darryl D.
25
2011
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042
David, D.; Holm, D. D.
25
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.
24
2010
Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid. Zbl 0900.76718
Gjaja, Ivan; Holm, Darryl D.
23
1996
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
23
2011
Resonant interactions in rotating homogeneous three-dimensional turbulence. Zbl 1097.76033
Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L.; Holm, Darryl D.
23
2005
Geometric mechanics. Part II: Rotating, translating and rolling. Zbl 1149.70001
Holm, Darryl D.
23
2008
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
22
2019
The Euler-Poincaré theory of metamorphosis. Zbl 1186.68413
Holm, Darryl D.; Trouvé, Alain; Younes, Laurent
22
2009
Quaternions and particle dynamics in the Euler fluid equations. Zbl 1145.76012
Gibbon, J. D.; Holm, D. D.; Kerr, R. M.; Roulstone, I.
21
2006
Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics. Zbl 1098.76547
Holm, Darryl D.
21
2002
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.
21
1995
Hamiltonian chaos in nonlinear optical polarization dynamics. Zbl 1211.37097
David, D.; Holm, D. D.; Tratnik, M. V.
20
1990
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.
20
2017
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
19
2007
Lagrangian reduction, the Euler-Poincaré equations, and semidirect products. Zbl 0989.37052
Cendra, Hernán; Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
19
1998
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
19
2019
Noise and dissipation on coadjoint orbits. Zbl 1384.37063
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D.
18
2018
Stepwise precession of the resonant swinging spring. Zbl 1140.37350
Holm, Darryl D.; Lynch, Peter
18
2002
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
18
1997
The ideal Craik-Leibovich equations. Zbl 0899.76082
Holm, Darryl D.
18
1996
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
17
2016
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
17
2011
Three-dimensional stability of elliptical vortex columns in external strain flows. Zbl 0872.76041
Bayly, B. J.; Holm, D. D.; Lifschitz, A.
17
1996
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion. Zbl 1090.76015
Holm, D. D.; Nitsche, M.; Putkaradze, V.
17
2006
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. Zbl 1381.70001
Holm, Darryl D.
16
2011
Euler-Poincaré dynamics of perfect complex fluids. Zbl 1114.37308
Holm, Darryl D.
16
2002
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.
16
2008
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
15
2009
The rotor and the pendulum. Zbl 0744.70011
Holm, Darryl D.; Marsden, Jerrold E.
14
1991
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
14
2012
Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion. Zbl 0643.76007
Holm, Darryl D.
13
1988
Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids. Zbl 0666.76073
Abarbanel, Henry D. I.; Holm, Darryl D.
13
1987
Variational principles for Lagrangian-averaged fluid dynamics. Zbl 1040.76054
Holm, Darryl D.
13
2002
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
13
2018
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
13
2018
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
13
2018
The analogy between spin glasses and Yang-Mills fluids. Zbl 0655.76099
Holm, Darryl D.; Kupershmidt, Boris A.
12
1988
Hamiltonian formulation of the baroclinic quasigeostrophic fluid equations. Zbl 0588.76188
Holm, Darryl D.
12
1986
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
12
2009
The Maxwell-Vlasov equations in Euler-Poincaré form. Zbl 1031.76555
Cendra, Hernán; Holm, Darryl D.; Hoyle, Mark J. W.; Marsden, Jerrold E.
12
1998
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
12
2011
Complexified dynamical systems. Zbl 1120.37050
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
12
2007
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
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions. Zbl 1186.37090
Holm, Darryl D.; Tronci, Cesare
11
2009
Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025
Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan
11
1984
Hamilton’s principle for quasigeostrophic motion. Zbl 1185.76848
Holm, Darryl D.; Zeitlin, Vladimir
11
1998
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D.
10
2015
Complex trajectories of a simple pendulum. Zbl 1112.70020
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
10
2007
Smooth and peaked solitons of the CH equation. Zbl 1202.35226
Holm, Darryl D.; Ivanov, Rossen I.
10
2010
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.
10
1986
On billiard solutions of nonlinear PDEs. Zbl 0944.37032
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
10
1999
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.
10
2011
Estimates for the LANS-\(\alpha\), Leray-\(\alpha\) and Bardina models in terms of a Navier-Stokes Reynolds number. Zbl 1157.76009
Gibbon, J. D.; Holm, D. D.
10
2008
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
10
2018
Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations. Zbl 0850.76791
Holm, Darryl D.
9
1991
Kármán-Howarth theorem for the Lagrangian-averaged Navier-Stokes-alpha model of turbulence. Zbl 1064.76058
Holm, Darryl D.
9
2002
Extended-geostrophic Hamiltonian models for rotating shallow water motion. Zbl 0899.76080
Allen, J. S.; Holm, Darryl D.
9
1996
Hamiltonian balance equations. Zbl 0900.76719
Holm, Darryl D.
9
1996
Three regularization models of the Navier-Stokes equations. Zbl 1182.76288
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo D.; Pouquet, Annick
9
2008
Vlasov moments, integrable systems and singular solutions. Zbl 1217.82053
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
9
2008
Helicity in the formation of turbulence. Zbl 1146.76414
Holm, D. D.; Kerr, R. M.
9
2007
Selective decay by Casimir dissipation in inviscid fluids. Zbl 1322.76036
Gay-Balmaz, François; Holm, Darryl D.
8
2013
Integrable vs. nonintegrable geodesic soliton behavior. Zbl 0980.35134
Fringer, Oliver B.; Holm, Darryl D.
8
2001
Stochastic wave-current interaction in thermal shallow water dynamics. Zbl 1468.76014
Holm, Darryl D.; Luesink, Erwin
2
2021
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
6
2020
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
6
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
5
2020
Lagrangian averaged stochastic advection by Lie transport for fluids. Zbl 1471.76024
Drivas, Theodore D.; Holm, Darryl D.; Leahy, James-Michael
3
2020
Predicting uncertainty in geometric fluid mechanics. Zbl 1439.49083
Gay-Balmaz, François; Holm, Darryl D.
3
2020
Circulation and energy theorem preserving stochastic fluids. Zbl 1464.76023
Drivas, Theodore D.; Holm, Darryl D.
3
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
2
2020
Lyapunov exponents of two stochastic Lorenz 63 systems. Zbl 1459.37066
Geurts, Bernard J.; Holm, Darryl D.; Luesink, Erwin
1
2020
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
22
2019
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
19
2019
Stochastic parametrization of the Richardson triple. Zbl 1411.76036
Holm, Darryl D.
5
2019
A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
5
2019
Stochastic closures for wave-current interaction dynamics. Zbl 1427.76040
Holm, Darryl D.
5
2019
Geometry of nonadiabatic quantum hydrodynamics. Zbl 1421.35274
Foskett, Michael S.; Holm, Darryl D.; Tronci, Cesare
5
2019
Noise and dissipation on coadjoint orbits. Zbl 1384.37063
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D.
18
2018
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
13
2018
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
13
2018
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
13
2018
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
10
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.
5
2018
String methods for stochastic image and shape matching. Zbl 1455.94006
Arnaudon, Alexis; Holm, Darryl; Sommer, Stefan
2
2018
Un-reduction in field theory. Zbl 1385.58008
Arnaudon, Alexis; Castrillón López, Marco; Holm, Darryl D.
1
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.
20
2017
Noise and dissipation in rigid body motion. Zbl 1433.70042
Arnaudon, Alexis; De Castro, Alex L.; Holm, Darryl D.
3
2017
Multipole vortex blobs (MVB): symplectic geometry and dynamics. Zbl 1365.76212
Holm, Darryl D.; Jacobs, Henry O.
1
2017
\(G\)-strands on symmetric spaces. Zbl 1404.35383
Arnaudon, Alexis; Holm, Darryl D.; Ivanov, Rossen I.
1
2017
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
17
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.
1
2016
Variational principles for stochastic fluid dynamics. Zbl 1371.35219
Holm, Darryl D.
63
2015
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D.
10
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.
5
2014
Matrix G-strands. Zbl 1351.37259
Holm, Darryl D.; Ivanov, Rossen I.
3
2014
A jetlet hierarchy for ideal fluid dynamics. Zbl 1296.76106
Cotter, C. J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M.
2
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.
8
2013
Inexact trajectory planning and inverse problems in the Hamilton-Pontryagin framework. Zbl 1371.49025
Burnett, Christopher L.; Holm, Darryl D.; Meier, David M.
7
2013
On the persistence properties of the cross-coupled Camassa-Holm system. Zbl 1300.35124
Henry, David; Holm, Darryl; Ivanov, Rossen
7
2013
Geometric dynamics of optimization. Zbl 1271.49003
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
7
2013
A variational formulation of vertical slice models. Zbl 1371.86019
Cotter, C. J.; Holm, D. D.
3
2013
Relative geodesics in the special Euclidean group. Zbl 1371.53035
Holm, D. D.; Noakes, L.; Vankerschaver, J.
3
2013
\(G\)-strands and peakon collisions on \(\text{Diff}(\mathbb R)\). Zbl 1275.37032
Holm, Darryl D.; Ivanov, Rossen I.
2
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.
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
30
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
14
2012
Multiscale turbulence models based on convected fluid microstructure. Zbl 1426.76195
Holm, Darryl D.; Tronci, Cesare
7
2012
\(G\)-strands. Zbl 1339.37048
Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R.
5
2012
Exact geometric theory of dendronized polymer dynamics. Zbl 1257.82113
Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S.
3
2012
Euler-Poincaré formulation of hybrid plasma models. Zbl 1291.35404
Holm, Darryl D.; Tronci, Cesare
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
Two-component CH system: inverse scattering, peakons and geometry. Zbl 1216.35175
Holm, D. D.; Ivanov, R. I.
29
2011
Geometric mechanics. Part I: Dynamics and symmetry. 2nd ed. Zbl 1227.70001
Holm, Darryl D.
25
2011
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
23
2011
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
17
2011
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. Zbl 1381.70001
Holm, Darryl D.
16
2011
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
12
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.
10
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
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François
5
2011
Smooth and peaked solutions of the Camassa-Holm equation and applications. Zbl 1231.35167
Holm, Darryl; Ivanov, Rossen
4
2011
Helical states of nonlocally interacting molecules and their linear stability: a geometric approach. Zbl 1208.81237
Benoit, S.; Holm, D. D.; Putkaradze, V.
3
2011
Extreme events in solutions of hydrostatic and non-hydrostatic climate models. Zbl 1219.86004
Gibbon, J. D.; Holm, D. D.
2
2011
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples. Zbl 1213.37097
Holm, D. D.; Ivanov, R. I.
28
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.
24
2010
Smooth and peaked solitons of the CH equation. Zbl 1202.35226
Holm, Darryl D.; Ivanov, Rossen I.
10
2010
The square root depth wave equations. Zbl 1211.76028
Cotter, C. J.; Holm, D. D.; Percival, J. R.
6
2010
Geodesic boundary value problems with symmetry. Zbl 1375.49032
Cotter, Colin J.; Holm, Darryl D.
5
2010
The dynamics of the gradient of potential vorticity. Zbl 1278.76017
Gibbon, J. D.; Holm, D. D.
5
2010
Double-bracket dissipation in kinetic theory for particles with anisotropic interactions. Zbl 1211.82046
Holm, D. D.; Putkaradze, V.; Tronci, C.
4
2010
Geometric mechanics and symmetry. From finite to infinite dimensions. Zbl 1175.70001
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina
73
2009
The Euler-Poincaré theory of metamorphosis. Zbl 1186.68413
Holm, Darryl D.; Trouvé, Alain; Younes, Laurent
22
2009
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
15
2009
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
12
2009
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions. Zbl 1186.37090
Holm, Darryl D.; Tronci, Cesare
11
2009
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
8
2009
Nonlocal orientation-dependent dynamics of charged strands and ribbons. Zbl 1170.74020
Holm, Darryl D.; Putkaradze, Vakhtang
8
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.
26
2008
Geometric mechanics. Part II: Rotating, translating and rolling. Zbl 1149.70001
Holm, Darryl D.
23
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.
16
2008
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
Estimates for the LANS-\(\alpha\), Leray-\(\alpha\) and Bardina models in terms of a Navier-Stokes Reynolds number. Zbl 1157.76009
Gibbon, J. D.; Holm, D. D.
10
2008
Three regularization models of the Navier-Stokes equations. Zbl 1182.76288
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo D.; Pouquet, Annick
9
2008
Vlasov moments, integrable systems and singular solutions. Zbl 1217.82053
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
9
2008
Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket. Zbl 1221.82102
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
7
2008
Geometric gradient-flow dynamics with singular solutions. Zbl 1155.76007
Holm, Darryl D.; Putkaradze, Vakhtang; Tronci, Cesare
5
2008
A Euler-Poincaré framework for the multilayer Green-Nagdhi equations. Zbl 1143.76021
Percival, J. R.; Cotter, C. J.; Holm, D. D.
4
2008
Singular solutions for geodesic flows of Vlasov moments. Zbl 1180.82173
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
2
2008
Hamiltonian statistical mechanics. Zbl 1153.82011
Brody, Dorje C.; Ellis, David C. P.; Holm, Darryl D.
1
2008
Kinetic models of oriented self-assembly. Zbl 1195.82070
Holm, Darryl D.; Putkaradze, Vakhtang; Tronci, Cesare
1
2008
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
19
2007
Complexified dynamical systems. Zbl 1120.37050
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
12
2007
Complex trajectories of a simple pendulum. Zbl 1112.70020
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
10
2007
Helicity in the formation of turbulence. Zbl 1146.76414
Holm, D. D.; Kerr, R. M.
9
2007
Lagrangian particle paths and ortho-normal quaternion frames. Zbl 1118.76017
Gibbon, J. D.; Holm, D. D.
5
2007
Geometric dissipation in kinetic equations. Zbl 1174.82010
Holm, Darryl D.; Putkaradze, Vakhtang; Tronci, Cesare
4
2007
Formation and evolution of singularities in anisotropic geometric continua. Zbl 1155.35411
Holm, D. D.; Putkaradze, V.
3
2007
Leray and LANs-\(\alpha\) modelling of turbulent mixing. Zbl 1273.76139
Geurts, Bernard J.; Holm, Darryl D.
38
2006
...and 102 more Documents
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Cited by 2,862 Authors

104 Holm, Darryl D.
93 Yin, Zhaoyang
51 Liu, Yue
46 Qiao, Zhijun
43 Tian, Lixin
42 Gay-Balmaz, François
42 Marsden, Jerrold Eldon
36 Ratiu, Tudor Stefan
30 Mu, Chunlai
30 Zhou, Shouming
29 Liu, Zhengrong
29 Qu, Changzheng
28 Li, Jibin
26 Guo, Boling
26 Rebholz, Leo G.
26 Titi, Edriss Saleh
25 Lai, Shaoyong
25 Mi, Yongsheng
24 Gao, Hongjun
22 Constantin, Adrian
22 Guo, Zhengguang
21 Himonas, A. Alexandrou
20 Lenells, Jonatan
20 Tronci, Cesare
18 Cotter, Colin John
18 Escher, Joachim
18 Liu, Xingxing
18 Putkaradze, Vakhtang
17 Ivanov, Rossen I.
16 Chen, Aiyong
16 Fu, Ying
16 Szmigielski, Jacek
16 Yan, Kai
16 Yan, Wei
15 Kolev, Boris
15 Li, Yongsheng
15 Zhu, Min
14 Duan, Jinqiao
14 Gui, Guilong
14 Holden, Helge
14 Shen, Chunyu
14 Zhou, Yong
13 Guan, Chunxia
13 Guo, Fei
13 Wu, Xinglong
12 Carrillo de la Plata, José Antonio
12 Chen, Robin Ming
12 Coclite, Giuseppe Maria
12 Colombo, Leonardo Jesus
12 Hu, Qiaoyi
12 Jiang, Zaihong
12 Layton, William J.
12 Moon, Byungsoo
11 Bauer, Martin
11 Bloch, Anthony Michael
11 Camassa, Roberto
11 Grunert, Katrin
11 Guha, Partha
11 Li, Jinlu
11 Neda, Monika
11 Raynaud, Xavier
11 Sheu, Tony Wen-Hann
11 Tang, Hao
11 Vialard, François-Xavier
10 Arnaudon, Alexis
10 Eckhardt, Jonathan
10 Esen, Oğul
10 Hernández-Bermejo, Benito
10 Kupershmidt, Boris A.
10 Lăzureanu, Cristian
10 Lewandowski, Roger
10 Liu, Xiaochuan
10 Misiołek, Gerard
10 Oliver, Marcel
10 Preston, Stephen C.
10 Yang, Shaojie
10 Zhu, Mingxuan
9 Boutet de Monvel, Anne Marie
9 Chang, Xiangke
9 Chen, Guanrong
9 Deugoue, Gabriel
9 Freire, Igor Leite
9 Fried, Eliot
9 Gibbon, John D.
9 Huang, Wentao
9 Martín de Diego, David
9 Mininni, Pablo D.
9 Olver, Peter John
9 Razafimandimby, Paul André
9 Sango, Mamadou
9 Shepelsky, Dmitry
9 Yin, Jiuli
8 Anco, Stephen C.
8 Berselli, Luigi Carlo
8 Bruveris, Martins
8 Chen, Jinbing
8 Geurts, Bernard J.
8 Geyer, Anna
8 Ionescu-Kruse, Delia
8 Karlsen, Kenneth Hvistendahl
...and 2,762 more Authors
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Cited in 337 Serials

178 Journal of Mathematical Physics
146 Journal of Differential Equations
132 Physica D
114 Journal of Mathematical Analysis and Applications
94 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
93 Journal of Fluid Mechanics
75 Journal of Nonlinear Mathematical Physics
72 Discrete and Continuous Dynamical Systems
70 Journal of Nonlinear Science
68 Applied Mathematics and Computation
66 Nonlinear Analysis. Real World Applications
58 Physics of Fluids
46 Applicable Analysis
45 Journal of Geometry and Physics
42 Chaos, Solitons and Fractals
39 Journal of Computational Physics
38 Communications in Mathematical Physics
38 Abstract and Applied Analysis
35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
33 Monatshefte für Mathematik
33 Journal of Geometric Mechanics
29 Archive for Rational Mechanics and Analysis
27 Journal of Functional Analysis
27 Studies in Applied Mathematics
26 Journal of Mathematical Fluid Mechanics
25 Applied Mathematics Letters
20 Advances in Mathematics
20 Journal of Evolution Equations
20 Boundary Value Problems
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Communications in Partial Differential Equations
19 International Journal of Geometric Methods in Modern Physics
18 Physics Letters. A
18 Theoretical and Mathematical Physics
18 Journal of Dynamics and Differential Equations
17 Journal of Statistical Physics
17 Journal of Computational and Applied Mathematics
17 Communications in Nonlinear Science and Numerical Simulation
16 Nonlinearity
15 Computers & Mathematics with Applications
15 Mathematical Methods in the Applied Sciences
15 SIAM Journal on Mathematical Analysis
15 Mathematical Problems in Engineering
15 Discrete and Continuous Dynamical Systems. Series B
15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
14 Letters in Mathematical Physics
14 Wave Motion
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Nonlinear Dynamics
14 Chaos
14 Regular and Chaotic Dynamics
13 Quarterly of Applied Mathematics
13 Advances in Mathematical Physics
12 Computers and Fluids
12 Acta Applicandae Mathematicae
12 Numerical Methods for Partial Differential Equations
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
12 Communications on Pure and Applied Analysis
11 International Journal of Modern Physics B
11 Reports on Mathematical Physics
11 Journal of Physics A: Mathematical and Theoretical
10 Differential Geometry and its Applications
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Journal of Hyperbolic Differential Equations
10 Advances in Difference Equations
10 SIAM Journal on Imaging Sciences
9 Mathematics and Computers in Simulation
9 Applied Numerical Mathematics
9 Journal of Scientific Computing
9 Applied Mathematical Modelling
9 Calculus of Variations and Partial Differential Equations
9 Journal of Inequalities and Applications
9 Qualitative Theory of Dynamical Systems
9 Foundations of Computational Mathematics
9 Journal of Applied Mathematics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Geophysical and Astrophysical Fluid Dynamics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Acta Mathematicae Applicatae Sinica. English Series
8 NoDEA. Nonlinear Differential Equations and Applications
8 European Journal of Mechanics. B. Fluids
8 Discrete and Continuous Dynamical Systems. Series S
8 Journal of Applied Analysis and Computation
7 Computer Methods in Applied Mechanics and Engineering
7 Applied Mathematics and Optimization
7 Numerical Functional Analysis and Optimization
7 Stochastic Processes and their Applications
7 Journal of Mathematical Imaging and Vision
7 Mathematical Physics, Analysis and Geometry
7 Journal of Turbulence
7 Analysis and Applications (Singapore)
6 Communications on Pure and Applied Mathematics
6 International Journal of Theoretical Physics
6 Physics Reports
6 BIT
6 Proceedings of the American Mathematical Society
6 Dynamics and Stability of Systems
6 Computational Mathematics and Mathematical Physics
...and 237 more Serials
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Cited in 54 Fields

1,949 Partial differential equations (35-XX)
1,066 Fluid mechanics (76-XX)
777 Dynamical systems and ergodic theory (37-XX)
327 Mechanics of particles and systems (70-XX)
229 Numerical analysis (65-XX)
169 Ordinary differential equations (34-XX)
149 Differential geometry (53-XX)
133 Global analysis, analysis on manifolds (58-XX)
103 Geophysics (86-XX)
102 Probability theory and stochastic processes (60-XX)
101 Mechanics of deformable solids (74-XX)
94 Statistical mechanics, structure of matter (82-XX)
85 Calculus of variations and optimal control; optimization (49-XX)
59 Quantum theory (81-XX)
57 Systems theory; control (93-XX)
41 Operator theory (47-XX)
40 Biology and other natural sciences (92-XX)
31 Topological groups, Lie groups (22-XX)
27 Computer science (68-XX)
26 Nonassociative rings and algebras (17-XX)
25 Optics, electromagnetic theory (78-XX)
25 Information and communication theory, circuits (94-XX)
24 Real functions (26-XX)
24 Classical thermodynamics, heat transfer (80-XX)
21 Relativity and gravitational theory (83-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
15 Functional analysis (46-XX)
14 Functions of a complex variable (30-XX)
14 Statistics (62-XX)
13 Special functions (33-XX)
11 Integral equations (45-XX)
8 Astronomy and astrophysics (85-XX)
7 Algebraic geometry (14-XX)
7 Difference and functional equations (39-XX)
5 Measure and integration (28-XX)
5 Approximations and expansions (41-XX)
5 Operations research, mathematical programming (90-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Manifolds and cell complexes (57-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Integral transforms, operational calculus (44-XX)
2 Commutative algebra (13-XX)
2 Group theory and generalizations (20-XX)
2 General topology (54-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

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