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Kraichnan, Robert Harry

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Author ID: kraichnan.robert-h Recent zbMATH articles by "Kraichnan, Robert Harry"
Published as: Kraichnan, R. H.; Kraichnan, Robert H.
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 60 Publications since 1955
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,564 times in 1,057 Documents Cited by Year
The structure of isotropic turbulence at very high Reynolds numbers. Zbl 0093.41202
Kraichnan, Robert H.
186
1959
Small-scale structure of a scalar field convected by turbulence. Zbl 0164.28904
Kraichnan, R. H.
155
1968
Diffusion by a random velocity field. Zbl 0193.27106
Kraichnan, R. H.
132
1970
Inertial-range transfer in two- and three-dimensional turbulence. Zbl 0224.76053
Kraichnan, Robert H.
129
1971
An almost-Markovian Galilean-invariant turbulence model. Zbl 0219.76064
Kraichnan, R. H.
60
1971
Statistical dynamics of two-dimensional flow. Zbl 0297.76042
Kraichnan, Robert H.
55
1975
Convection of a passive scalar by a quasi-uniform random straining field. Zbl 0291.76022
Kraichnan, Robert H.
55
1974
Dynamics of nonlinear stochastic systems. Zbl 0268.76038
Kraichnan, Robert H.
55
1961
Helical turbulence and absolute equilibrium. Zbl 0272.76030
Kraichnan, Robert H.
53
1973
Kolmogorov’s hypotheses and Eulerian turbulence theory. Zbl 0151.41701
Kraichnan, R. H.
45
1964
Isotropic turbulence and inertial-range structure. Zbl 0147.46004
Kraichnan, R. H.
44
1966
On Kolmogorov’s inertial-range theories. Zbl 0273.76037
Kraichnan, Robert H.
43
1974
Decay of two-dimensional homogeneous turbulence. Zbl 0296.76026
Herring, J. R.; Orszag, S. A.; Kraichnan, R. H.; Fox, D. G.
40
1974
Models of intermittency in hydrodynamic turbulence. Zbl 1050.76546
Kraichnan, Robert H.
36
1990
Special-relativistic derivation of generally covariant gravitation theory. Zbl 0068.40103
Kraichnan, Robert H.
31
1955
An interpretation of the Yakhot-Orszag turbulence theory. Zbl 0642.76069
Kraichnan, Robert H.
25
1987
Eulerian and Lagrangian renormalization in turbulence theory. Zbl 0369.76053
Kraichnan, Robert H.
25
1977
A space-time functional formalism for turbulence. Zbl 0112.19305
Lewis, Robert M.; Kraichnan, Robert H.
24
1962
Growth of turbulent magnetic fields. Zbl 0166.22901
Kraichnan, R. H.; Nagarajan, S.
23
1967
Diffusion of passive-scalar and magnetic fields by helical turbulence. Zbl 0366.76042
Kraichnan, Robert H.
22
1976
Depression of nonlinearity in decaying isotropic turbulence. Zbl 0649.76026
Kraichnan, Robert H.; Panda, Raj
21
1988
Remarks on turbulence theory. Zbl 0323.76038
Kraichnan, Robert H.
19
1975
Lagrangian-history statistical theory for Burger’s equation. Zbl 0153.57502
Kraichnan, R. H.
19
1968
Model equations for strong turbulence in a Vlasov plasma. Zbl 0208.56801
Orszag, S. A.; Kraichnan, R. H.
17
1967
Is there a statistical mechanics of turbulence? Zbl 0687.76049
Kraichnan, Robert H.; Chen, Shiyi
16
1989
Convergents to turbulence functions. Zbl 0198.59503
Kraichnan, R. H.
15
1970
Simulations of a randomly advected passive scalar field. Zbl 1185.76744
Chen, Shiyi; Kraichnan, Robert H.
14
1998
Statistics of an advected passive scalar. Zbl 0782.76044
Kimura, Yoshifumi; Kraichnan, Robert H.
14
1993
Approximations for steady-state isotropic turbulence. Zbl 0133.21302
Kraichnan, R. H.
13
1964
Steady-state Burgers turbulence with large-scale forcing. Zbl 1185.76755
Gotoh, Toshiyuki; Kraichnan, Robert H.
12
1998
Non-Gaussian statistics in isotropic turbulence. Zbl 0684.76050
Chen, Hudong; Herring, Jackson R.; Kerr, Robert M.; Kraichnan, Robert H.
12
1989
Eddy viscosity and diffusivity: Exact formulas and approximations. Zbl 0652.76037
Kraichnan, Robert H.
12
1987
Test-field model for inhomogeneous turbulence. Zbl 0294.76041
Kraichnan, Robert H.
12
1972
Direct-interaction approximation for a system of several interacting simple shear waves. Zbl 0122.44204
Kraichnan, R. H.
12
1963
Relation of fourth-order to second-order moments in stationary isotropic turbulence. Zbl 0078.17801
Kraichnan, Robert H.
12
1957
Statistics of decaying Burgers turbulence. Zbl 0767.76024
Gotoh, Toshiyuki; Kraichnan, Robert H.
11
1993
A numerical comparison of velocity-based and strain-based Lagrangian- history turbulence approximations. Zbl 0412.76043
Herring, Jackson R.; Kraichnan, Robert H.
11
1979
A strain-based Lagrangian-history turbulence theory. Zbl 0407.76030
Kraichnan, Robert H.; Herring, Jackson R.
10
1978
Lagrangian velocity covariance in helical turbulence. Zbl 0369.76055
Kraichnan, Robert H.
9
1977
Diffusion of weak magnetic fields by isotropic turbulence. Zbl 0337.76020
Kraichnan, Robert H.
9
1976
Comparison of some approximations for isotropic turbulence. Zbl 0233.76104
Herring, Jackson R.; Kraichnan, Robert H.
8
1972
Turbulence and Tsallis statistics. Zbl 1060.76064
Gotoh, Toshiyuki; Kraichnan, Robert H.
7
2004
Turbulent cascade and intermittency growth. Zbl 0726.76046
Kraichnan, Robert H.
7
1991
Instability in fully developed turbulence. Zbl 0191.56503
Kraichnan, R. H.
6
1970
Lagrangian velocity correlations in homogeneous isotropic turbulence. Zbl 0804.76044
Gotoh, Toshiyuki; Rogallo, Robert S.; Herring, Jackson R.; Kraichnan, Robert H.
5
1993
Note on forced Burgers turbulence. Zbl 1149.76440
Kraichnan, Robert H.
4
1999
The closure problem of turbulence theory. Zbl 0122.44203
Kraichnan, R. H.
4
1962
Reduced descriptions of hydrodynamic turbulence. Zbl 1086.76517
Kraichnan, Robert H.
3
1988
Statistical mechanics of coupled particles in the Schrödinger representation. Zbl 0085.20506
Kraichnan, Robert H.
3
1958
Possibility of unequal gravitational and inertial masses. Zbl 0074.43903
Kraichnan, Robert H.
3
1956
Exact results for conditional means of a passive scalar in certain statistically homogeneous flows. Zbl 0953.76037
Ching, Emily S. C.; Kraichnan, Robert H.
2
1998
Stochastic models for many-body systems. I: Infinite systems in thermal equilibrium. II: Finite systems and statistical nonequilibrium. Zbl 0106.21904
Kraichnan, Robert H.
2
1962
Statistical mechanics of coupled bosons in the Heisenberg representation. Zbl 0085.20505
Kraichnan, Robert H.
2
1958
Turbulence and Tsallis statistics. Zbl 1060.76064
Gotoh, Toshiyuki; Kraichnan, Robert H.
7
2004
Note on forced Burgers turbulence. Zbl 1149.76440
Kraichnan, Robert H.
4
1999
Simulations of a randomly advected passive scalar field. Zbl 1185.76744
Chen, Shiyi; Kraichnan, Robert H.
14
1998
Steady-state Burgers turbulence with large-scale forcing. Zbl 1185.76755
Gotoh, Toshiyuki; Kraichnan, Robert H.
12
1998
Exact results for conditional means of a passive scalar in certain statistically homogeneous flows. Zbl 0953.76037
Ching, Emily S. C.; Kraichnan, Robert H.
2
1998
Statistics of an advected passive scalar. Zbl 0782.76044
Kimura, Yoshifumi; Kraichnan, Robert H.
14
1993
Statistics of decaying Burgers turbulence. Zbl 0767.76024
Gotoh, Toshiyuki; Kraichnan, Robert H.
11
1993
Lagrangian velocity correlations in homogeneous isotropic turbulence. Zbl 0804.76044
Gotoh, Toshiyuki; Rogallo, Robert S.; Herring, Jackson R.; Kraichnan, Robert H.
5
1993
Turbulent cascade and intermittency growth. Zbl 0726.76046
Kraichnan, Robert H.
7
1991
Models of intermittency in hydrodynamic turbulence. Zbl 1050.76546
Kraichnan, Robert H.
36
1990
Is there a statistical mechanics of turbulence? Zbl 0687.76049
Kraichnan, Robert H.; Chen, Shiyi
16
1989
Non-Gaussian statistics in isotropic turbulence. Zbl 0684.76050
Chen, Hudong; Herring, Jackson R.; Kerr, Robert M.; Kraichnan, Robert H.
12
1989
Depression of nonlinearity in decaying isotropic turbulence. Zbl 0649.76026
Kraichnan, Robert H.; Panda, Raj
21
1988
Reduced descriptions of hydrodynamic turbulence. Zbl 1086.76517
Kraichnan, Robert H.
3
1988
An interpretation of the Yakhot-Orszag turbulence theory. Zbl 0642.76069
Kraichnan, Robert H.
25
1987
Eddy viscosity and diffusivity: Exact formulas and approximations. Zbl 0652.76037
Kraichnan, Robert H.
12
1987
A numerical comparison of velocity-based and strain-based Lagrangian- history turbulence approximations. Zbl 0412.76043
Herring, Jackson R.; Kraichnan, Robert H.
11
1979
A strain-based Lagrangian-history turbulence theory. Zbl 0407.76030
Kraichnan, Robert H.; Herring, Jackson R.
10
1978
Eulerian and Lagrangian renormalization in turbulence theory. Zbl 0369.76053
Kraichnan, Robert H.
25
1977
Lagrangian velocity covariance in helical turbulence. Zbl 0369.76055
Kraichnan, Robert H.
9
1977
Diffusion of passive-scalar and magnetic fields by helical turbulence. Zbl 0366.76042
Kraichnan, Robert H.
22
1976
Diffusion of weak magnetic fields by isotropic turbulence. Zbl 0337.76020
Kraichnan, Robert H.
9
1976
Statistical dynamics of two-dimensional flow. Zbl 0297.76042
Kraichnan, Robert H.
55
1975
Remarks on turbulence theory. Zbl 0323.76038
Kraichnan, Robert H.
19
1975
Convection of a passive scalar by a quasi-uniform random straining field. Zbl 0291.76022
Kraichnan, Robert H.
55
1974
On Kolmogorov’s inertial-range theories. Zbl 0273.76037
Kraichnan, Robert H.
43
1974
Decay of two-dimensional homogeneous turbulence. Zbl 0296.76026
Herring, J. R.; Orszag, S. A.; Kraichnan, R. H.; Fox, D. G.
40
1974
Helical turbulence and absolute equilibrium. Zbl 0272.76030
Kraichnan, Robert H.
53
1973
Test-field model for inhomogeneous turbulence. Zbl 0294.76041
Kraichnan, Robert H.
12
1972
Comparison of some approximations for isotropic turbulence. Zbl 0233.76104
Herring, Jackson R.; Kraichnan, Robert H.
8
1972
Inertial-range transfer in two- and three-dimensional turbulence. Zbl 0224.76053
Kraichnan, Robert H.
129
1971
An almost-Markovian Galilean-invariant turbulence model. Zbl 0219.76064
Kraichnan, R. H.
60
1971
Diffusion by a random velocity field. Zbl 0193.27106
Kraichnan, R. H.
132
1970
Convergents to turbulence functions. Zbl 0198.59503
Kraichnan, R. H.
15
1970
Instability in fully developed turbulence. Zbl 0191.56503
Kraichnan, R. H.
6
1970
Small-scale structure of a scalar field convected by turbulence. Zbl 0164.28904
Kraichnan, R. H.
155
1968
Lagrangian-history statistical theory for Burger’s equation. Zbl 0153.57502
Kraichnan, R. H.
19
1968
Growth of turbulent magnetic fields. Zbl 0166.22901
Kraichnan, R. H.; Nagarajan, S.
23
1967
Model equations for strong turbulence in a Vlasov plasma. Zbl 0208.56801
Orszag, S. A.; Kraichnan, R. H.
17
1967
Isotropic turbulence and inertial-range structure. Zbl 0147.46004
Kraichnan, R. H.
44
1966
Kolmogorov’s hypotheses and Eulerian turbulence theory. Zbl 0151.41701
Kraichnan, R. H.
45
1964
Approximations for steady-state isotropic turbulence. Zbl 0133.21302
Kraichnan, R. H.
13
1964
Direct-interaction approximation for a system of several interacting simple shear waves. Zbl 0122.44204
Kraichnan, R. H.
12
1963
A space-time functional formalism for turbulence. Zbl 0112.19305
Lewis, Robert M.; Kraichnan, Robert H.
24
1962
The closure problem of turbulence theory. Zbl 0122.44203
Kraichnan, R. H.
4
1962
Stochastic models for many-body systems. I: Infinite systems in thermal equilibrium. II: Finite systems and statistical nonequilibrium. Zbl 0106.21904
Kraichnan, Robert H.
2
1962
Dynamics of nonlinear stochastic systems. Zbl 0268.76038
Kraichnan, Robert H.
55
1961
The structure of isotropic turbulence at very high Reynolds numbers. Zbl 0093.41202
Kraichnan, Robert H.
186
1959
Statistical mechanics of coupled particles in the Schrödinger representation. Zbl 0085.20506
Kraichnan, Robert H.
3
1958
Statistical mechanics of coupled bosons in the Heisenberg representation. Zbl 0085.20505
Kraichnan, Robert H.
2
1958
Relation of fourth-order to second-order moments in stationary isotropic turbulence. Zbl 0078.17801
Kraichnan, Robert H.
12
1957
Possibility of unequal gravitational and inertial masses. Zbl 0074.43903
Kraichnan, Robert H.
3
1956
Special-relativistic derivation of generally covariant gravitation theory. Zbl 0068.40103
Kraichnan, Robert H.
31
1955
all top 5

Cited by 1,454 Authors

28 Kraichnan, Robert Harry
18 Eyink, Gregory L.
17 Rubinstein, Robert
13 Herring, Jackson R.
12 Kaneda, Yukio
12 Zhou, Ye
11 Bos, Wouter J. T.
11 Gotoh, Toshiyuki
11 Meneveau, Charles
11 Orszag, Steven Alan
10 Majda, Andrew J.
10 Teodorovich, Eh. V.
9 Chen, Shiyi
9 Pitts, J. Brian
9 Sagaut, Pierre
9 Sreenivasan, Katepalli R.
8 Carnevale, George F.
8 Celani, Antonio
8 Domaradzki, J. Andrzej
8 Yoshizawa, Akira
7 Antonia, Robert Anthony
7 Clark, Timothy T.
7 Drummond, I. T.
7 Frederiksen, Jorgen Segerlund
7 Frisch, Uriel
7 He, Guowei
7 Moffatt, Henry Keith
7 Tran, Chuong V.
7 Vincenzi, Dario
7 Yakhot, Victor
6 Antonov, N. V.
6 Biferale, Luca
6 Bowman, John C.
6 Carati, Daniele
6 Gawȩdzki, Krzysztof
6 Holloway, Greg
6 Ishihara, Takashi
6 Lerche, Ian
6 McLaughlin, Richard M.
6 Pouquet, Annik
6 Reeks, Michael W.
6 Sabelfeld, Karl Karlovich
6 Smith, Leslie M.
5 Alexakis, Alexandros
5 Bertoglio, Jean-Pierre
5 Boritchev, Alexandre
5 Cambon, Claude
5 Frederiksen, Jorgen S. Frederiksen
5 Frisch, UI.
5 Galperin, Boris
5 Karniadakis, George Em
5 Koch, Donald L.
5 Komorowski, Tomasz
5 Lee, Jon
5 Lesieur, Marcel
5 Lim, Chjan C.
5 Matthaeus, William H.
5 McComb, William David
5 McWilliams, James C.
5 Pouquet, Annick G.
5 Pumir, Alain
5 Salmon, Rick
5 Sukoriansky, Semion
5 Vergassola, Massimo
4 Adzhemyan, Loran Ts.
4 Borgas, Michael S.
4 Brachet, Marc-Etienne
4 Camassa, Roberto
4 Cencini, Massimo
4 Chakraborty, Sagar
4 Chertkov, Michael
4 Collins, Lance R.
4 Danaila, Luminita
4 Drivas, Theodore Dimitrios
4 E, Weinan
4 Fang, Le
4 Jiménez, Javier
4 Kerr, Robert M.
4 Kida, Shigeo
4 Kolokolov, Igor’ Valentinovich
4 Kurbanmuradov, Orazgeldi
4 Layton, William J.
4 Lebedev, Vladimir Valentinovich
4 Léorat, Jacques
4 Mazzino, Andrea
4 Mémin, Etienne
4 Moser, Robert D.
4 Nandy, Malay Kumar
4 Neda, Monika
4 Noack, Bernd R.
4 Phythian, R.
4 Ray, Samriddhi Sankar
4 Rebholz, Leo G.
4 Schneider, Kai
4 She, Zhensu
4 Shepherd, Theodore G.
4 Siggia, Eric D.
4 Staroselsky, Ilya
4 Tatsumi, Tomomasa
4 Tobias, Steven M.
...and 1,354 more Authors
all top 5

Cited in 133 Serials

253 Journal of Fluid Mechanics
175 Physics of Fluids
60 Physics of Fluids, A
55 Physica D
45 Journal of Statistical Physics
36 Journal of Computational Physics
34 Computers and Fluids
32 Journal of Mathematical Physics
24 Journal of Turbulence
22 Geophysical and Astrophysical Fluid Dynamics
12 Communications in Mathematical Physics
12 Theoretical and Computational Fluid Dynamics
12 Journal of High Energy Physics
11 Fluid Dynamics
11 Theoretical and Mathematical Physics
11 European Journal of Mechanics. B. Fluids
10 Journal of Scientific Computing
7 General Relativity and Gravitation
7 Flow, Turbulence and Combustion
7 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
6 International Journal of Modern Physics B
6 Journal of Applied Mathematics and Mechanics
6 Journal of Statistical Mechanics: Theory and Experiment
6 Acta Mechanica Sinica
5 Physics Reports
5 Chaos
5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Communications in Nonlinear Science and Numerical Simulation
4 International Journal for Numerical Methods in Fluids
4 Physica A
4 Stochastic Processes and their Applications
4 Physical Review Letters
4 Physical Review, II. Series
4 Journal of Physics A: Mathematical and Theoretical
4 SIAM/ASA Journal on Uncertainty Quantification
3 Archive for Rational Mechanics and Analysis
3 Astrophysics and Space Science
3 Computer Methods in Applied Mechanics and Engineering
3 Reviews of Modern Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Prikladnaya Matematika i Mekhanika
3 Proceedings of the National Academy of Sciences of the United States of America
3 Journal of Nonlinear Science
3 International Journal of Modern Physics D
3 Monte Carlo Methods and Applications
3 Electronic Journal of Probability
3 Mathematical Problems in Engineering
3 Combustion Theory and Modelling
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Modern Physics A
2 Acta Mechanica
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Physics of Fluids
2 Physics Letters. A
2 Transport Theory and Statistical Physics
2 Journal of Geometry and Physics
2 The Annals of Probability
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Statistics & Probability Letters
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 New Journal of Physics
2 Physical Review E. Third Series
2 PMM, Journal of Applied Mathematics and Mechanics
2 Applied Scientific Research, Section A
1 Computers & Mathematics with Applications
1 International Journal of Heat and Mass Transfer
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Boletim da Sociedade Brasileira de Matemática
1 Journal of Computational and Applied Mathematics
1 Mathematika
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Probability Theory and Related Fields
1 Journal of the American Mathematical Society
1 Stochastic Hydrology and Hydraulics
1 Computational Mathematics and Modeling
1 The Annals of Applied Probability
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Applied Mathematical Modelling
1 Automation and Remote Control
1 Journal of Non-Equilibrium Thermodynamics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 33 more Serials
all top 5

Cited in 39 Fields

894 Fluid mechanics (76-XX)
91 Partial differential equations (35-XX)
89 Probability theory and stochastic processes (60-XX)
78 Statistical mechanics, structure of matter (82-XX)
63 Numerical analysis (65-XX)
60 Geophysics (86-XX)
40 Dynamical systems and ergodic theory (37-XX)
32 Relativity and gravitational theory (83-XX)
30 Quantum theory (81-XX)
17 Classical thermodynamics, heat transfer (80-XX)
14 Astronomy and astrophysics (85-XX)
11 Ordinary differential equations (34-XX)
9 Statistics (62-XX)
9 Mechanics of particles and systems (70-XX)
7 History and biography (01-XX)
7 Biology and other natural sciences (92-XX)
6 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Computer science (68-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
4 Systems theory; control (93-XX)
3 Algebraic geometry (14-XX)
3 Integral equations (45-XX)
3 Operator theory (47-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Differential geometry (53-XX)
3 Operations research, mathematical programming (90-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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