×

zbMATH — the first resource for mathematics

Holm, Darryl D.

Compute Distance To:
Author ID: holm.darryl-d Recent zbMATH articles by "Holm, Darryl D."
Published as: Holm, D. D.; Holm, Darryl; Holm, Darryl D.
Homepage: http://wwwf.imperial.ac.uk/~dholm/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp · GND
Documents Indexed: 231 Publications since 1978, including 13 Books
all top 5

Co-Authors

36 single-authored
20 Ratiu, Tudor Stefan
15 Gay-Balmaz, François
15 Marsden, Jerrold Eldon
15 Putkaradze, Vakhtang
14 Cotter, Colin John
13 Tronci, Cesare
11 Gibbon, John D.
11 Kupershmidt, Boris A.
10 Camassa, Roberto
10 Ivanov, Rossen I.
7 Arnaudon, Alexis
7 Titi, Edriss Saleh
5 Alber, Mark S.
5 Chen, Shiyi
5 Crisan, Dan O.
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 David, Dongo
3 Doering, Charles R.
3 Gibbons, John
3 Gottwald, Georg A.
3 Graham, Jonathan Pietarila
3 Jacobs, Henry O.
3 Levermore, C. David
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 Luesink, Erwin
2 Margolin, Len G.
2 Petersen, Mark R.
2 Shevchenko, Igor’ Ivanovich
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 Brody, Dorje C.
1 Bulgakov, Evgeny N.
1 Burnett, Christopher L.
1 Cao, Chongsheng
1 Castrillón López, Marco
1 Chang, Dong Eui
1 Chen, Qiaoning
1 Cheskidov, Alexey
1 David, Daniel
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, M. 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.
1 Hoyle, Mark J. W.
...and 38 more Co-Authors
all top 5

Serials

26 Physica D
13 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
5 Journal of Statistical Physics
5 Journal of Geometric Mechanics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Journal of Mathematical Physics
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 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

Publications by Year

Citations contained in zbMATH

196 Publications have been cited 5,360 times in 2,734 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.
346
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.
267
1998
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
213
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.
168
2002
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
155
2001
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.
129
1998
On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
122
2005
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.
119
2003
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
119
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.
98
1999
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
93
1988
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
89
2004
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.
86
2003
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
85
1999
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.
85
1994
Geometric mechanics and symmetry. From finite to infinite dimensions. Zbl 1175.70001
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina
64
2009
Direct numerical simulations of the Navier-Stokes alpha model. Zbl 1194.76080
Chen, Shiyi; Holm, Darryl D.; Margolin, Len G.; Zhang, Raoyang
58
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.
54
2004
Integrable and non-integrable equations with peakons. Zbl 1053.37039
Degasperis, A.; Holm, D. D.; Hone, A. N. W.
53
2003
Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity. Zbl 1194.76285
Holm, Darryl D.; Kupershmidt, Boris A.
48
1983
Variational principles for stochastic fluid dynamics. Zbl 1371.35219
Holm, Darryl D.
46
2015
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
Regularization modeling for large-eddy simulation. Zbl 1185.76144
Geurts, Bernard J.; Holm, Darryl D.
37
2002
Leray and LANs-\(\alpha\) modelling of turbulent mixing. Zbl 1273.76139
Geurts, Bernard J.; Holm, Darryl D.
35
2006
Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion. Zbl 1194.76062
Holm, Darryl D.
33
1999
Formation of clumps and patches in self-aggregation of finite-size particles. Zbl 1125.82021
Holm, Darryl D.; Putkaradze, Vakhtang
29
2006
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
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
28
1996
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
27
2012
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
Two-component CH system: inverse scattering, peakons and geometry. Zbl 1216.35175
Holm, D. D.; Ivanov, R. I.
26
2011
Geometric mechanics. Part I: Dynamics and symmetry. Zbl 1160.70001
Holm, Darryl D.
25
2008
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.
25
2005
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
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples. Zbl 1213.37097
Holm, D. D.; Ivanov, R. I.
24
2010
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042
David, D.; Holm, D. D.
24
1992
Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics. Zbl 1080.76504
Holm, Darryl D.
23
2002
Geometric mechanics. Part I: Dynamics and symmetry. 2nd ed. Zbl 1227.70001
Holm, Darryl D.
22
2011
Resonant interactions in rotating homogeneous three-dimensional turbulence. Zbl 1097.76033
Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L.; Holm, Darryl D.
22
2005
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.
22
1995
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
21
2011
Geometric mechanics. Part II: Rotating, translating and rolling. Zbl 1149.70001
Holm, Darryl D.
21
2008
The Euler-Poincaré theory of metamorphosis. Zbl 1186.68413
Holm, Darryl D.; Trouvé, Alain; Younes, Laurent
20
2009
Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics. Zbl 1098.76547
Holm, Darryl D.
20
2002
Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid. Zbl 0900.76718
Gjaja, Ivan; Holm, Darryl D.
20
1996
Hamiltonian chaos in nonlinear optical polarization dynamics. Zbl 1211.37097
David, D.; Holm, D. D.; Tratnik, M. V.
20
1990
Lagrangian reduction, the Euler-Poincaré equations, and semidirect products. Zbl 0989.37052
Cendra, Hernán; Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S.
17
1998
Three-dimensional stability of elliptical vortex columns in external strain flows. Zbl 0872.76041
Bayly, B. J.; Holm, D. D.; Lifschitz, A.
17
1996
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.
16
2017
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
16
2011
Noise and dissipation on coadjoint orbits. Zbl 1384.37063
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D.
15
2018
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
15
2016
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. Zbl 1381.70001
Holm, Darryl D.
15
2011
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
15
2007
Quaternions and particle dynamics in the Euler fluid equations. Zbl 1145.76012
Gibbon, J. D.; Holm, D. D.; Kerr, R. M.; Roulstone, I.
15
2006
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion. Zbl 1090.76015
Holm, D. D.; Nitsche, M.; Putkaradze, V.
15
2006
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
15
1997
The ideal Craik-Leibovich equations. Zbl 0899.76082
Holm, Darryl D.
15
1996
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
14
2009
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.
14
2008
Stepwise precession of the resonant swinging spring. Zbl 1140.37350
Holm, Darryl D.; Lynch, Peter
14
2002
The rotor and the pendulum. Zbl 0744.70011
Holm, Darryl D.; Marsden, Jerrold E.
14
1991
Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids. Zbl 0666.76073
Abarbanel, Henry D. I.; Holm, Darryl D.
14
1987
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
13
2019
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
13
2012
Euler-Poincaré dynamics of perfect complex fluids. Zbl 1114.37308
Holm, Darryl D.
13
2002
On billiard solutions of nonlinear PDEs. Zbl 0944.37032
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
13
1999
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
12
2019
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
12
2018
Lagrange-Poincaré field equations. Zbl 1253.70031
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
12
2011
Variational principles for Lagrangian-averaged fluid dynamics. Zbl 1040.76054
Holm, Darryl D.
12
2002
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
Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion. Zbl 0643.76007
Holm, Darryl D.
12
1988
Hamiltonian formulation of the baroclinic quasigeostrophic fluid equations. Zbl 0588.76188
Holm, Darryl D.
12
1986
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
11
2018
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions. Zbl 1186.37090
Holm, Darryl D.; Tronci, Cesare
11
2009
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
11
2009
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.
11
2008
Complex trajectories of a simple pendulum. Zbl 1112.70020
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
11
2007
The analogy between spin glasses and Yang-Mills fluids. Zbl 0655.76099
Holm, Darryl D.; Kupershmidt, Borris A.
11
1988
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
Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025
Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan
11
1984
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
10
2018
Geometry of image registration: the diffeomorphism group and momentum maps. Zbl 1348.92094
Bruveris, Martins; Holm, Darryl D.
10
2015
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
Smooth and peaked solitons of the CH equation. Zbl 1202.35226
Holm, Darryl D.; Ivanov, Rossen I.
10
2010
Three regularization models of the Navier-Stokes equations. Zbl 1182.76288
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo D.; Pouquet, Annick
10
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
Hamilton’s principle for quasigeostrophic motion. Zbl 1185.76848
Holm, Darryl D.; Zeitlin, Vladimir
10
1998
Helicity in the formation of turbulence. Zbl 1146.76414
Holm, D. D.; Kerr, R. M.
9
2007
Complexified dynamical systems. Zbl 1120.37050
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
9
2007
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
Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations. Zbl 0850.76791
Holm, Darryl D.
9
1991
Selective decay by Casimir dissipation in inviscid fluids. Zbl 1322.76036
Gay-Balmaz, François; Holm, Darryl D.
8
2013
The effect of subfilter-scale physics on regularization models. Zbl 1317.76051
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo; Pouquet, Annick
8
2011
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
Integrable vs. nonintegrable geodesic soliton behavior. Zbl 0980.35134
Fringer, Oliver B.; Holm, Darryl D.
8
2001
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
2
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
2
2020
Predicting uncertainty in geometric fluid mechanics. Zbl 1439.49083
Gay-Balmaz, François; Holm, Darryl D.
2
2020
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
13
2019
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
12
2019
A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
3
2019
Stochastic parametrization of the Richardson triple. Zbl 1411.76036
Holm, Darryl D.
3
2019
Geometry of nonadiabatic quantum hydrodynamics. Zbl 1421.35274
Foskett, Michael S.; Holm, Darryl D.; Tronci, Cesare
2
2019
Stochastic closures for wave-current interaction dynamics. Zbl 1427.76040
Holm, Darryl D.
1
2019
Noise and dissipation on coadjoint orbits. Zbl 1384.37063
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D.
15
2018
Momentum maps and stochastic Clebsch action principles. Zbl 1433.60069
Cruzeiro, Ana Bela; Holm, Darryl D.; Ratiu, Tudor S.
12
2018
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
11
2018
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. Zbl 1431.37068
Gay-Balmaz, François; Holm, Darryl D.
10
2018
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
5
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.
3
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.
16
2017
Noise and dissipation in rigid body motion. Zbl 1433.70042
Arnaudon, Alexis; De Castro, Alex L.; Holm, Darryl D.
3
2017
\(G\)-strands on symmetric spaces. Zbl 1404.35383
Arnaudon, Alexis; Holm, Darryl D.; Ivanov, Rossen I.
1
2017
Multipole vortex blobs (MVB): symplectic geometry and dynamics. Zbl 1365.76212
Holm, Darryl D.; Jacobs, Henry O.
1
2017
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
15
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.
46
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
Chang, Dong Eui (ed.); Holm, Darryl D. (ed.); Patrick, George (ed.); Ratiu, Tudor (ed.)
1
2015
A geometric theory of selective decay with applications in MHD. Zbl 1308.37029
Gay-Balmaz, François; Holm, Darryl D.
4
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
Matrix G-strands. Zbl 1351.37259
Holm, Darryl D.; Ivanov, Rossen I.
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
Relative geodesics in the special Euclidean group. Zbl 1371.53035
Holm, D. D.; Noakes, L.; Vankerschaver, J.
3
2013
A variational formulation of vertical slice models. Zbl 1371.86019
Cotter, C. J.; Holm, D. D.
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
\(G\)-strands and peakon collisions on \(\text{Diff}(\mathbb R)\). Zbl 1275.37032
Holm, Darryl D.; Ivanov, Rossen I.
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
27
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
13
2012
Multiscale turbulence models based on convected fluid microstructure. Zbl 1426.76195
Holm, Darryl D.; Tronci, Cesare
6
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
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
Euler-Poincaré formulation of hybrid plasma models. Zbl 1291.35404
Holm, Darryl D.; Tronci, Cesare
1
2012
Two-component CH system: inverse scattering, peakons and geometry. Zbl 1216.35175
Holm, D. D.; Ivanov, R. I.
26
2011
Geometric mechanics. Part I: Dynamics and symmetry. 2nd ed. Zbl 1227.70001
Holm, Darryl D.
22
2011
The momentum map representation of images. Zbl 1211.58010
Bruveris, M.; Gay-Balmaz, F.; Holm, D. D.; Ratiu, T. S.
21
2011
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions. Zbl 1319.70022
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
16
2011
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. Zbl 1381.70001
Holm, Darryl D.
15
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
8
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
3
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
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
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples. Zbl 1213.37097
Holm, D. D.; Ivanov, R. I.
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.
5
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.
3
2010
Geometric mechanics and symmetry. From finite to infinite dimensions. Zbl 1175.70001
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina
64
2009
The Euler-Poincaré theory of metamorphosis. Zbl 1186.68413
Holm, Darryl D.; Trouvé, Alain; Younes, Laurent
20
2009
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
14
2009
Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions. Zbl 1186.37090
Holm, Darryl D.; Tronci, Cesare
11
2009
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
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.
25
2008
Geometric mechanics. Part II: Rotating, translating and rolling. Zbl 1149.70001
Holm, Darryl D.
21
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.
14
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.
11
2008
Three regularization models of the Navier-Stokes equations. Zbl 1182.76288
Graham, Jonathan Pietarila; Holm, Darryl D.; Mininni, Pablo D.; Pouquet, Annick
10
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
Vlasov moments, integrable systems and singular solutions. Zbl 1217.82053
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
Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket. Zbl 1221.82102
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
4
2008
Singular solutions for geodesic flows of Vlasov moments. Zbl 1180.82173
Gibbons, John; Holm, Darryl D.; Tronci, Cesare
3
2008
A Euler-Poincaré framework for the multilayer Green-Nagdhi equations. Zbl 1143.76021
Percival, J. R.; Cotter, C. J.; Holm, D. D.
3
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.
15
2007
Complex trajectories of a simple pendulum. Zbl 1112.70020
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
11
2007
Helicity in the formation of turbulence. Zbl 1146.76414
Holm, D. D.; Kerr, R. M.
9
2007
Complexified dynamical systems. Zbl 1120.37050
Bender, Carl M.; Holm, Darryl D.; Hook, Daniel W.
9
2007
Lagrangian particle paths and ortho-normal quaternion frames. Zbl 1118.76017
Gibbon, J. D.; Holm, D. D.
4
2007
Geometric dissipation in kinetic equations. Zbl 1174.82010
Holm, Darryl D.; Putkaradze, Vakhtang; Tronci, Cesare
3
2007
Formation and evolution of singularities in anisotropic geometric continua. Zbl 1155.35411
Holm, D. D.; Putkaradze, V.
2
2007
Leray and LANs-\(\alpha\) modelling of turbulent mixing. Zbl 1273.76139
Geurts, Bernard J.; Holm, Darryl D.
35
2006
Formation of clumps and patches in self-aggregation of finite-size particles. Zbl 1125.82021
Holm, Darryl D.; Putkaradze, Vakhtang
29
2006
Quaternions and particle dynamics in the Euler fluid equations. Zbl 1145.76012
Gibbon, J. D.; Holm, D. D.; Kerr, R. M.; Roulstone, I.
15
2006
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion. Zbl 1090.76015
Holm, D. D.; Nitsche, M.; Putkaradze, V.
15
2006
Length-scale estimates for the LANS-\(\alpha\) equations in terms of the Reynolds number. Zbl 1331.76051
Gibbon, J. D.; Holm, D. D.
6
2006
Inertial range scaling Kármán–Howarth theorem, and intermittency for forced and decaying Lagrangian averaged magnetohydrodynamic equations in two dimensions. Zbl 1185.76714
Pietarila Graham, J.; Holm, D. D.; Mininni, P.; Pouquet, A.
4
2006
Commutator errors in large-eddy simulation. Zbl 1198.76049
Geurts, Bernard J.; Holm, Darryl D.
3
2006
On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
122
2005
...and 96 more Documents
all top 5

Cited by 2,691 Authors

100 Holm, Darryl D.
87 Yin, Zhaoyang
45 Liu, Yue
43 Qiao, Zhijun
42 Marsden, Jerrold Eldon
42 Tian, Lixin
37 Gay-Balmaz, François
36 Ratiu, Tudor Stefan
29 Liu, Zhengrong
29 Mu, Chunlai
27 Zhou, Shouming
26 Li, Jibin
26 Qu, Changzheng
26 Titi, Edriss Saleh
25 Guo, Boling
25 Mi, Yongsheng
25 Rebholz, Leo G.
22 Guo, Zhengguang
22 Lai, Shaoyong
20 Constantin, Adrian
20 Gao, Hongjun
20 Lenells, Jonatan
19 Himonas, A. Alexandrou
18 Escher, Joachim
18 Liu, Xingxing
18 Putkaradze, Vakhtang
17 Tronci, Cesare
16 Cotter, Colin John
16 Ivanov, Rossen I.
16 Szmigielski, Jacek
15 Kolev, Boris
15 Li, Yongsheng
15 Yan, Kai
15 Zhu, Min
14 Holden, Helge
14 Yan, Wei
14 Zhou, Yong
13 Chen, Aiyong
13 Fu, Ying
13 Guan, Chunxia
13 Gui, Guilong
13 Shen, Chunyu
12 Coclite, Giuseppe Maria
12 Duan, Jinqiao
12 Guo, Fei
12 Hu, Qiaoyi
12 Layton, William J.
12 Wu, Xinglong
11 Bauer, Martin
11 Camassa, Roberto
11 Carrillo de la Plata, José Antonio
11 Colombo, Leonardo Jesus
11 Guha, Partha
11 Sheu, Tony Wen-Hann
11 Vialard, François-Xavier
10 Bloch, Anthony M.
10 Chen, Robin Ming
10 Hernández-Bermejo, Benito
10 Jiang, Zaihong
10 Kupershmidt, Boris A.
10 Moon, Byungsoo
10 Preston, Stephen C.
10 Raynaud, Xavier
9 Arnaudon, Alexis
9 Boutet de Monvel, Anne Marie
9 Eckhardt, Jonathan
9 Gibbon, John D.
9 Huang, Wentao
9 Lăzureanu, Cristian
9 Lewandowski, Roger
9 Liu, Xiaochuan
9 Martín de Diego, David
9 Mininni, Pablo D.
9 Misiołek, Gerard
9 Neda, Monika
9 Oliver, Marcel
9 Olver, Peter John
9 Razafimandimby, Paul André
9 Sango, Mamadou
9 Shepelsky, Dmitry
9 Yin, Jiuli
8 Chang, Xiangke
8 Chen, Jinbing
8 Chen, Yong
8 Deugoue, Gabriel
8 Ding, Danping
8 Esen, Oğul
8 Fried, Eliot
8 Geurts, Bernard J.
8 Geyer, Anna
8 Ionescu-Kruse, Delia
8 Karlsen, Kenneth Hvistendahl
8 Krishnaprasad, P.s.
8 Li, Jinlu
8 Li, Nianhua
8 Liu, Jianguo
8 Liu, Siqi
8 Long, Yao
8 Lv, Guangying
8 Ni, Lidiao
...and 2,591 more Authors
all top 5

Cited in 307 Serials

169 Journal of Mathematical Physics
139 Journal of Differential Equations
123 Physica D
113 Journal of Mathematical Analysis and Applications
94 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
87 Journal of Fluid Mechanics
72 Journal of Nonlinear Mathematical Physics
70 Discrete and Continuous Dynamical Systems
67 Applied Mathematics and Computation
59 Nonlinear Analysis. Real World Applications
58 Physics of Fluids
56 Journal of Nonlinear Science
43 Journal of Geometry and Physics
39 Journal of Computational Physics
39 Chaos, Solitons and Fractals
37 Applicable Analysis
37 Abstract and Applied Analysis
36 Communications in Mathematical Physics
33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
31 Journal of Geometric Mechanics
27 Journal of Functional Analysis
27 Studies in Applied Mathematics
26 Archive for Rational Mechanics and Analysis
26 Monatshefte für Mathematik
22 Applied Mathematics Letters
21 Physics Letters. A
20 Journal of Mathematical Fluid Mechanics
19 Communications in Partial Differential Equations
19 International Journal of Geometric Methods in Modern Physics
17 Journal of Statistical Physics
17 Advances in Mathematics
17 Journal of Computational and Applied Mathematics
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Mathematical Methods in the Applied Sciences
15 Theoretical and Mathematical Physics
15 Boundary Value Problems
14 Computers & Mathematics with Applications
14 Wave Motion
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Journal of Dynamics and Differential Equations
14 Mathematical Problems in Engineering
14 Nonlinear Dynamics
14 Regular and Chaotic Dynamics
14 Communications in Nonlinear Science and Numerical Simulation
13 Computers and Fluids
13 Letters in Mathematical Physics
13 Chaos
13 Journal of Evolution Equations
13 Discrete and Continuous Dynamical Systems. Series B
12 Nonlinearity
12 Quarterly of Applied Mathematics
12 Numerical Methods for Partial Differential Equations
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
12 Advances in Mathematical Physics
11 International Journal of Modern Physics B
11 Reports on Mathematical Physics
11 Acta Applicandae Mathematicae
11 SIAM Journal on Mathematical Analysis
11 Journal of Physics A: Mathematical and Theoretical
10 Differential Geometry and its Applications
10 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Mathematics and Computers in Simulation
9 Applied Numerical Mathematics
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Applied Mathematical Modelling
9 Journal of Inequalities and Applications
9 Journal of Applied Mathematics
9 Journal of Hyperbolic Differential Equations
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 SIAM Journal on Imaging Sciences
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal of Scientific Computing
8 Calculus of Variations and Partial Differential Equations
8 NoDEA. Nonlinear Differential Equations and Applications
8 Foundations of Computational Mathematics
8 Communications on Pure and Applied Analysis
8 Advances in Difference Equations
7 Computer Methods in Applied Mechanics and Engineering
7 Numerical Functional Analysis and Optimization
7 Acta Mathematicae Applicatae Sinica. English Series
7 Journal of Mathematical Imaging and Vision
7 European Journal of Mechanics. B. Fluids
7 Qualitative Theory of Dynamical Systems
7 Journal of Turbulence
7 Analysis and Applications (Singapore)
7 Journal of Applied Analysis and Computation
6 Communications on Pure and Applied Mathematics
6 Proceedings of the American Mathematical Society
6 Dynamics and Stability of Systems
6 Stochastic Processes and their Applications
6 Mathematical Physics, Analysis and Geometry
6 Physical Review Letters
6 Stochastics and Dynamics
6 Discrete and Continuous Dynamical Systems. Series S
6 Electronic Research Archive
5 Acta Mechanica
5 International Journal of Theoretical Physics
5 Physics Reports
...and 207 more Serials
all top 5

Cited in 53 Fields

1,758 Partial differential equations (35-XX)
971 Fluid mechanics (76-XX)
725 Dynamical systems and ergodic theory (37-XX)
308 Mechanics of particles and systems (70-XX)
203 Numerical analysis (65-XX)
163 Ordinary differential equations (34-XX)
140 Differential geometry (53-XX)
126 Global analysis, analysis on manifolds (58-XX)
94 Mechanics of deformable solids (74-XX)
91 Geophysics (86-XX)
86 Statistical mechanics, structure of matter (82-XX)
80 Probability theory and stochastic processes (60-XX)
76 Calculus of variations and optimal control; optimization (49-XX)
49 Quantum theory (81-XX)
47 Systems theory; control (93-XX)
40 Operator theory (47-XX)
32 Biology and other natural sciences (92-XX)
30 Topological groups, Lie groups (22-XX)
24 Nonassociative rings and algebras (17-XX)
22 Optics, electromagnetic theory (78-XX)
21 Information and communication theory, circuits (94-XX)
20 Computer science (68-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Relativity and gravitational theory (83-XX)
16 Classical thermodynamics, heat transfer (80-XX)
14 Real functions (26-XX)
14 Functional analysis (46-XX)
11 Functions of a complex variable (30-XX)
10 Special functions (33-XX)
10 Statistics (62-XX)
9 Integral equations (45-XX)
9 Astronomy and astrophysics (85-XX)
7 Algebraic geometry (14-XX)
6 Difference and functional equations (39-XX)
5 History and biography (01-XX)
5 Manifolds and cell complexes (57-XX)
4 Measure and integration (28-XX)
4 Operations research, mathematical programming (90-XX)
3 Approximations and expansions (41-XX)
3 Integral transforms, operational calculus (44-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Several complex variables and analytic spaces (32-XX)
2 General topology (54-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.