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Zabusky, Norman J.

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Author ID: zabusky.norman-j Recent zbMATH articles by "Zabusky, Norman J."
Published as: Zabusky, Norman J.; Zabusky, N. J.; Zabusky, N.
Homepage: http://mae.rutgers.edu/content/norman-j-zabusky
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Documents Indexed: 70 Publications since 1960, including 1 Book

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 1,498 times in 1,174 Documents Cited by Year
Interaction of ‘solitons’ in a collisionless plasma and the recurrence of initial states. Zbl 1201.35174
Zabusky, N. J.; Kruskal, M. D.
558
1965
Contour dynamics for the Euler equations in two dimensions. Zbl 0405.76014
Zabusky, Norman J.; Hughes, M. H.; Roberts, K. V.
131
1979
Symmetric vortex merger in two dimensions: Causes and conditions. Zbl 0653.76020
Melander, M. V.; Zabusky, N. J.; McWilliams, J. C.
73
1988
Korteweg–de Vries equation and generalizations. V: Uniqueness and nonexistence of polynomial conservation laws. Zbl 0283.35022
Kruskal, Martin D.; Miura, Robert M.; Gardner, Clifford S.; Zabusky, Norman J.
69
1970
Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results. Zbl 0524.76029
Wu, H. M.; Overman, E. A. II; Zabusky, N. J.
59
1984
Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. Zbl 0633.76023
Melander, M. V.; McWilliams, J. C.; Zabusky, N. J.
58
1987
A synergetic approach to problems of nonlinear dispersive wave propagation and interaction. Zbl 0183.18104
Zabusky, N. J.
57
1967
Evolution and merger of isolated vortex structures. Zbl 0489.76033
Overman, Edward A. II; Zabusky, Norman J.
43
1982
Exact solution for the vibrations of a nonlinear continuous model string. Zbl 0118.41802
Zabusky, N. J.
41
1962
A moment model for vortex interactions of the two-dimensional Euler equations. I. Computational validation of a Hamiltonian elliptical representation. Zbl 0602.76026
Melander, M. V.; Zabusky, N. J.; Styczek, A. S.
36
1986
Instability, coalescence and fission of finite-area vortex structures. Zbl 0266.76039
Christiansen, J. P.; Zabusky, N. J.
31
1973
Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications. Zbl 0825.76662
Boratav, O. N.; Pelz, R. B.; Zabusky, N. J.
29
1992
Computational synergetics and mathematical innovation. Zbl 0489.65043
Zabusky, Norman J.
25
1981
A modulated point-vortex model for geostrophic, beta-plane dynamics. Zbl 0514.76018
Zabusky, Norman J.; McWilliams, James C.
23
1982
Baroclinic circulation generation on shock accelerated slow/fast gas interfaces. Zbl 1185.76806
Samtaney, Ravi; Ray, Jaideep; Zabusky, Norman J.
18
1998
Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional richtmyer-meshkov interface. Zbl 1186.76421
Peng, Gaozhu; Zabusky, Norman J.; Zhang, Shuang
17
2003
Dynamical evolution of two-dimensional unstable shear flows. Zbl 0232.76052
Zabusky, N. J.; Deem, G. S.
15
1971
Two-layer geostrophic vortex dynamics. I: Upper-layer V-states and merger. Zbl 0676.76093
Polvani, L. M.; Zabusky, N. J.; Flierl, G. R.
14
1989
Interactions of isolated vortices I: Modons colliding with modons. Zbl 0483.76030
McWilliams, James C.; Zabusky, Norman J.
14
1982
High gradient phenomena in two-dimensional vortex interactions. Zbl 1039.76504
Yao, H. B.; Zabusky, N. J.; Dritschel, D. G.
13
1995
On the nature of vortex interactions and models in unforced nearly-inviscid two-dimensional turbulence. Zbl 1086.76035
Dritschel, David G.; Zabusky, Norman J.
13
1996
Shock cavity implosion morphologies and vortical projectile generation in axisymmetric shock-spherical fast/slow bubble interactions. Zbl 0935.76039
Zabusky, N. J.; Zeng, S. M.
12
1998
Regularization of contour dynamical algorithms. I. Tangential regularization. Zbl 0572.76004
Zabusky, Norman J.; Overman, Edward A. II
12
1983
Vortex morphologies on reaccelerated interfaces: visualization, quantification and modeling of one- and two-mode compressible and incompressible environments. Zbl 1184.76301
Kotelnikov, Alexei D.; Ray, Jaideep; Zabusky, Norman J.
11
2000
Fermi-Pasta-Ulam, solitons and the fabric of nonlinear and computational science: history, synergetics, and visiometrics. Zbl 1080.37001
Zabusky, Norman J.
10
2005
Coaxial scattering of Euler-equation translating V-states via contour dynamics. Zbl 0581.76025
Overman, Edward A.; Zabusky, Norman J.
9
1982
Vortex intensification and collapse of the Lissajous-elliptic ring: Single- and multi-filament Biot-Savart simulations and visiometrics. Zbl 0854.76019
Fernandez, Victor M.; Zabusky, Norman J.; Gryanik, Vladimir M.
8
1995
On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces. Zbl 0777.76045
Samtaney, Ravi; Zabusky, Norman J.
8
1993
Shock gaseous cylinder interactions: dynamically validated initial conditions provide excellent agreement between experiments and numerical simulations to late-intermediate time. Zbl 1186.76607
Zhang, Shuang; Zabusky, Norman J.; Peng, Gaozhu; Gupta, Sandeep
8
2004
Shock interactions with heavy gaseous elliptic cylinders: Two Leeward-side shock competition modes and a heuristic model for interfacial circulation deposition at early times. Zbl 1149.76520
Ray, Jaideep; Samtaney, Ravi; Zabusky, Norman J.
7
2000
Amplitude growth rate of a Richtmyer-Meshkov unstable two-dimensional interface to intermediate times. Zbl 1148.76317
Zabusky, Norman J.; Kotelnikov, Alexei D.; Gulak, Yuriy; Peng, Gaozhu
6
2003
Exact invariants for a class of nonlinear wave equations. Zbl 0171.07201
Kruskal, M. D.; Zabusky, N. J.
6
1966
Nonlinear sound-vortex interactions in an inviscid isentropic fluid: A two-fluid model. Zbl 1026.76557
Nazarenko, Sergey V.; Zabusky, Norman J.; Scheidegger, Thomas
5
1995
Shock-planar curtain interactions in two dimensions: emergence of vortex double layers, vortex projectiles, and decaying stratified turbulence. Zbl 1184.76606
Zabusky, Norman J.; Zhang, Shuang
5
2002
Localization and spreading of contact discontinuity layers in simulations of compressible dissipationless flows. Zbl 1127.76345
Zabusky, N. J.; Gupta, S.; Gulak, Y.
5
2003
Phenomena associated with the oscillations of a nonlinear model string. Zbl 0178.28102
Zabusky, N. J.
5
1963
Visualizing mathematics: Evolution of vortical flows. Zbl 0592.76029
Zabusky, Norman J.
5
1986
Ionospheric plasma cloud dynamics via regularized contour dynamics. I. Stability and nonlinear evolution of one-contour models. Zbl 0538.76049
Overman, E. A. II; Zabusky, N. J.; Ossakow, S. L.
5
1983
Contour dynamics for the Euler equations in two dimensions. Zbl 0938.76076
Zabusky, Norman J.; Hughes, M. H.; Roberts, K. V.
3
1997
Axisymmetrization of an isolated vortex region by splitting and partial merging of satellite depletion perturbations. Zbl 1027.76530
Yao, H. B.; Zabusky, N. J.
3
1996
Vortex dynamics and baroclinically forced inhomogeneous turbulence for shock-planar heavy curtain interactions. Zbl 1083.76546
Zhang, S.; Peng, G.; Zabusky, N. J.
3
2005
Contour dynamics for the Euler equations: Curvature controlled initial node placement and accuracy. Zbl 0649.76010
Zou, Q.; Overman, E. A. II; Wu, H.-M.; Zabusky, N. J.
3
1988
A new, but flawed, numerical method for vortex patch evolution in two dimensions. Zbl 0726.76029
Dritschel, David G.; Zabusky, Norman J.
3
1991
Near-singular collapse and local intensification of a ”Lissajous- elliptic” vortex ring: Nonmonotonic behavior and zero-approaching local energy densities. Zbl 0825.76119
Fernandez, Victor M.; Zabusky, Norman J.; Gryanik, Vladimir M.
2
1994
Filament surgery and temporal grid adaptivity extensions to a parallel tree code for simulation and diagnosis in 3D vortex dynamics. Zbl 0875.76421
Fernandez, Victor M.; Zabusky, Norman J.; Liu, Pangfeng; Bhatt, Sandeep; Gerasoulis, Apostolos
2
1996
Circulation rate of change: a vortex approach for understanding accelerated inhomogeneous flows through intermediate times. Zbl 1185.76801
Lee, Dong-Kee; Peng, Gaozhu; Zabusky, Norman J.
2
2006
A model for symmetric vortex-merger. Zbl 0615.76028
Melander, M. V.; Zabusky, N. J.; McWilliams, J. C.
2
1986
A new approach to the effect of sound on vortex dynamics. Zbl 0636.76084
Lund, Fernando; Zabusky, Norman J.
2
1987
Translation, interaction and scattering of Euler equation V-states via contour dynamics. Zbl 0542.76032
Overman, Edward A. II; Zabusky, Norman J.
2
1982
Vortex models for Richtmyer-Meshkov fast/slow environments: Scaling laws for interface growth rates. Zbl 0925.76176
Zabusky, N.; Ray, J.; Samtaney, R. S.
1
1996
Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures. Zbl 1153.76314
Zabusky, N. J.; Lugomer, S.; Zhang, S.
1
2005
Winding and reconnection mechanisms of closely interacting vortex tubes in three dimensions. Zbl 0825.76566
Boratav, O. N.; Pelz, R. B.; Zabusky, N. J.
1
1991
Topics in nonlinear physics. Proceedings of the Physics Session, International School of Nonlinear Mathematics and Physics. A NATO Advanced Study Institute, Max-Planck-Institute for Physics and Astrophysics (Munich, 1966). Zbl 0177.29407
Zabusky, N. J. (ed.)
1
1968
Computational synergetics and the exploration of nonlinear science. Zbl 0592.35111
Zabusky, Norman J.
1
1985
Computational vortex dynamics in two and three dimensions. Zbl 0612.76025
Melander, Mogens V.; Overman, Edward A. II.; Zabusky, Norman J.
1
1987
Contour-dynamics: A boundary-integral evolutionary method for incompressible dissipationless flows. Zbl 0455.76017
Zabusky, N. J.
1
1980
Circulation rate of change: a vortex approach for understanding accelerated inhomogeneous flows through intermediate times. Zbl 1185.76801
Lee, Dong-Kee; Peng, Gaozhu; Zabusky, Norman J.
2
2006
Fermi-Pasta-Ulam, solitons and the fabric of nonlinear and computational science: history, synergetics, and visiometrics. Zbl 1080.37001
Zabusky, Norman J.
10
2005
Vortex dynamics and baroclinically forced inhomogeneous turbulence for shock-planar heavy curtain interactions. Zbl 1083.76546
Zhang, S.; Peng, G.; Zabusky, N. J.
3
2005
Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures. Zbl 1153.76314
Zabusky, N. J.; Lugomer, S.; Zhang, S.
1
2005
Shock gaseous cylinder interactions: dynamically validated initial conditions provide excellent agreement between experiments and numerical simulations to late-intermediate time. Zbl 1186.76607
Zhang, Shuang; Zabusky, Norman J.; Peng, Gaozhu; Gupta, Sandeep
8
2004
Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional richtmyer-meshkov interface. Zbl 1186.76421
Peng, Gaozhu; Zabusky, Norman J.; Zhang, Shuang
17
2003
Amplitude growth rate of a Richtmyer-Meshkov unstable two-dimensional interface to intermediate times. Zbl 1148.76317
Zabusky, Norman J.; Kotelnikov, Alexei D.; Gulak, Yuriy; Peng, Gaozhu
6
2003
Localization and spreading of contact discontinuity layers in simulations of compressible dissipationless flows. Zbl 1127.76345
Zabusky, N. J.; Gupta, S.; Gulak, Y.
5
2003
Shock-planar curtain interactions in two dimensions: emergence of vortex double layers, vortex projectiles, and decaying stratified turbulence. Zbl 1184.76606
Zabusky, Norman J.; Zhang, Shuang
5
2002
Vortex morphologies on reaccelerated interfaces: visualization, quantification and modeling of one- and two-mode compressible and incompressible environments. Zbl 1184.76301
Kotelnikov, Alexei D.; Ray, Jaideep; Zabusky, Norman J.
11
2000
Shock interactions with heavy gaseous elliptic cylinders: Two Leeward-side shock competition modes and a heuristic model for interfacial circulation deposition at early times. Zbl 1149.76520
Ray, Jaideep; Samtaney, Ravi; Zabusky, Norman J.
7
2000
Baroclinic circulation generation on shock accelerated slow/fast gas interfaces. Zbl 1185.76806
Samtaney, Ravi; Ray, Jaideep; Zabusky, Norman J.
18
1998
Shock cavity implosion morphologies and vortical projectile generation in axisymmetric shock-spherical fast/slow bubble interactions. Zbl 0935.76039
Zabusky, N. J.; Zeng, S. M.
12
1998
Contour dynamics for the Euler equations in two dimensions. Zbl 0938.76076
Zabusky, Norman J.; Hughes, M. H.; Roberts, K. V.
3
1997
On the nature of vortex interactions and models in unforced nearly-inviscid two-dimensional turbulence. Zbl 1086.76035
Dritschel, David G.; Zabusky, Norman J.
13
1996
Axisymmetrization of an isolated vortex region by splitting and partial merging of satellite depletion perturbations. Zbl 1027.76530
Yao, H. B.; Zabusky, N. J.
3
1996
Filament surgery and temporal grid adaptivity extensions to a parallel tree code for simulation and diagnosis in 3D vortex dynamics. Zbl 0875.76421
Fernandez, Victor M.; Zabusky, Norman J.; Liu, Pangfeng; Bhatt, Sandeep; Gerasoulis, Apostolos
2
1996
Vortex models for Richtmyer-Meshkov fast/slow environments: Scaling laws for interface growth rates. Zbl 0925.76176
Zabusky, N.; Ray, J.; Samtaney, R. S.
1
1996
High gradient phenomena in two-dimensional vortex interactions. Zbl 1039.76504
Yao, H. B.; Zabusky, N. J.; Dritschel, D. G.
13
1995
Vortex intensification and collapse of the Lissajous-elliptic ring: Single- and multi-filament Biot-Savart simulations and visiometrics. Zbl 0854.76019
Fernandez, Victor M.; Zabusky, Norman J.; Gryanik, Vladimir M.
8
1995
Nonlinear sound-vortex interactions in an inviscid isentropic fluid: A two-fluid model. Zbl 1026.76557
Nazarenko, Sergey V.; Zabusky, Norman J.; Scheidegger, Thomas
5
1995
Near-singular collapse and local intensification of a ”Lissajous- elliptic” vortex ring: Nonmonotonic behavior and zero-approaching local energy densities. Zbl 0825.76119
Fernandez, Victor M.; Zabusky, Norman J.; Gryanik, Vladimir M.
2
1994
On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces. Zbl 0777.76045
Samtaney, Ravi; Zabusky, Norman J.
8
1993
Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications. Zbl 0825.76662
Boratav, O. N.; Pelz, R. B.; Zabusky, N. J.
29
1992
A new, but flawed, numerical method for vortex patch evolution in two dimensions. Zbl 0726.76029
Dritschel, David G.; Zabusky, Norman J.
3
1991
Winding and reconnection mechanisms of closely interacting vortex tubes in three dimensions. Zbl 0825.76566
Boratav, O. N.; Pelz, R. B.; Zabusky, N. J.
1
1991
Two-layer geostrophic vortex dynamics. I: Upper-layer V-states and merger. Zbl 0676.76093
Polvani, L. M.; Zabusky, N. J.; Flierl, G. R.
14
1989
Symmetric vortex merger in two dimensions: Causes and conditions. Zbl 0653.76020
Melander, M. V.; Zabusky, N. J.; McWilliams, J. C.
73
1988
Contour dynamics for the Euler equations: Curvature controlled initial node placement and accuracy. Zbl 0649.76010
Zou, Q.; Overman, E. A. II; Wu, H.-M.; Zabusky, N. J.
3
1988
Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. Zbl 0633.76023
Melander, M. V.; McWilliams, J. C.; Zabusky, N. J.
58
1987
A new approach to the effect of sound on vortex dynamics. Zbl 0636.76084
Lund, Fernando; Zabusky, Norman J.
2
1987
Computational vortex dynamics in two and three dimensions. Zbl 0612.76025
Melander, Mogens V.; Overman, Edward A. II.; Zabusky, Norman J.
1
1987
A moment model for vortex interactions of the two-dimensional Euler equations. I. Computational validation of a Hamiltonian elliptical representation. Zbl 0602.76026
Melander, M. V.; Zabusky, N. J.; Styczek, A. S.
36
1986
Visualizing mathematics: Evolution of vortical flows. Zbl 0592.76029
Zabusky, Norman J.
5
1986
A model for symmetric vortex-merger. Zbl 0615.76028
Melander, M. V.; Zabusky, N. J.; McWilliams, J. C.
2
1986
Computational synergetics and the exploration of nonlinear science. Zbl 0592.35111
Zabusky, Norman J.
1
1985
Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results. Zbl 0524.76029
Wu, H. M.; Overman, E. A. II; Zabusky, N. J.
59
1984
Regularization of contour dynamical algorithms. I. Tangential regularization. Zbl 0572.76004
Zabusky, Norman J.; Overman, Edward A. II
12
1983
Ionospheric plasma cloud dynamics via regularized contour dynamics. I. Stability and nonlinear evolution of one-contour models. Zbl 0538.76049
Overman, E. A. II; Zabusky, N. J.; Ossakow, S. L.
5
1983
Evolution and merger of isolated vortex structures. Zbl 0489.76033
Overman, Edward A. II; Zabusky, Norman J.
43
1982
A modulated point-vortex model for geostrophic, beta-plane dynamics. Zbl 0514.76018
Zabusky, Norman J.; McWilliams, James C.
23
1982
Interactions of isolated vortices I: Modons colliding with modons. Zbl 0483.76030
McWilliams, James C.; Zabusky, Norman J.
14
1982
Coaxial scattering of Euler-equation translating V-states via contour dynamics. Zbl 0581.76025
Overman, Edward A.; Zabusky, Norman J.
9
1982
Translation, interaction and scattering of Euler equation V-states via contour dynamics. Zbl 0542.76032
Overman, Edward A. II; Zabusky, Norman J.
2
1982
Computational synergetics and mathematical innovation. Zbl 0489.65043
Zabusky, Norman J.
25
1981
Contour-dynamics: A boundary-integral evolutionary method for incompressible dissipationless flows. Zbl 0455.76017
Zabusky, N. J.
1
1980
Contour dynamics for the Euler equations in two dimensions. Zbl 0405.76014
Zabusky, Norman J.; Hughes, M. H.; Roberts, K. V.
131
1979
Instability, coalescence and fission of finite-area vortex structures. Zbl 0266.76039
Christiansen, J. P.; Zabusky, N. J.
31
1973
Dynamical evolution of two-dimensional unstable shear flows. Zbl 0232.76052
Zabusky, N. J.; Deem, G. S.
15
1971
Korteweg–de Vries equation and generalizations. V: Uniqueness and nonexistence of polynomial conservation laws. Zbl 0283.35022
Kruskal, Martin D.; Miura, Robert M.; Gardner, Clifford S.; Zabusky, Norman J.
69
1970
Topics in nonlinear physics. Proceedings of the Physics Session, International School of Nonlinear Mathematics and Physics. A NATO Advanced Study Institute, Max-Planck-Institute for Physics and Astrophysics (Munich, 1966). Zbl 0177.29407
Zabusky, N. J.
1
1968
A synergetic approach to problems of nonlinear dispersive wave propagation and interaction. Zbl 0183.18104
Zabusky, N. J.
57
1967
Exact invariants for a class of nonlinear wave equations. Zbl 0171.07201
Kruskal, M. D.; Zabusky, N. J.
6
1966
Interaction of ‘solitons’ in a collisionless plasma and the recurrence of initial states. Zbl 1201.35174
Zabusky, N. J.; Kruskal, M. D.
558
1965
Phenomena associated with the oscillations of a nonlinear model string. Zbl 0178.28102
Zabusky, N. J.
5
1963
Exact solution for the vibrations of a nonlinear continuous model string. Zbl 0118.41802
Zabusky, N. J.
41
1962
all top 5

Cited by 1,674 Authors

33 Zabusky, Norman J.
28 Dritschel, David Gerard
15 Wazwaz, Abdul-Majid Abdul-Rahman
14 Kudryashov, Nikolaĭ Alekseevich
13 Salupere, Andrus
13 van Heijst, Gert-Jan F.
12 Engelbrecht, Jüri
11 Kizner, Ziv
10 Ablowitz, Mark Jay
10 Hmidi, Taoufik
9 McDonald, N. Robb
9 McWilliams, James C.
7 Carton, Xavier J.
7 Christov, Christo Ivanov
7 Clercx, Herman J. H.
7 Martel, Yvan
6 Bratsos, Athanassios G.
6 Cordoba, Diego
6 Gómez-Serrano, Javier
6 Merle, Frank
6 Newton, Paul K.
6 Ponno, Antonio
6 Reinaud, Jean N.
6 Riccardi, Giorgio
6 Tian, Bo
5 Băleanu, Dumitru I.
5 Bambusi, Dario
5 Biondini, Gino
5 Carnevale, George F.
5 Constantin, Peter
5 Kruskal, Martin David
5 Ma, Wen-Xiu
5 Mateu, Joan
5 Maugin, Gérard A.
5 Melander, Mogens V.
5 Orlandi, Paolo
5 Peng, Gaozhu
5 Protas, Bartosz
5 Pullin, Dale I.
5 Samoĭlenko, Yuliya Ivanivna
5 Teschl, Gerald
5 Velasco Fuentes, O. U.
5 Vosbeek, Pauline Wilhelmina Catharina
4 Camassa, Roberto
4 Dutykh, Denys
4 Elcrat, Alan R.
4 Flierl, Glenn R.
4 Fornberg, Bengt
4 Helal, Mohamed Atef
4 Hussain, Fazle
4 Jiang, Yan
4 Johnson, Edward Robert
4 Llewellyn Smith, Stefan G.
4 Makarov, V. G.
4 Mattheij, Robert M. M.
4 Nomura, Keiko K.
4 Olver, Peter John
4 Osborne, Alfred R.
4 Overman, Edward A. II
4 Polvani, Lorenzo M.
4 Rodrigo, José Luis
4 Rossi, Maurice
4 Saffman, Philip Geoffrey
4 Segur, Harvey
4 Sugiyama, Yuusuke
4 Tunitskiĭ, Dmitriĭ Vasil’evich
4 Wu, Theodore Yaotsu
4 Zhang, Shuang
4 Zhang, Zhiyue
3 Adams, Nikolaus A.
3 Aref, Hassan
3 Belyaeva, T. L.
3 Benettin, Giancarlo
3 Bernoff, Andrew J.
3 Boratav, Oluş N.
3 Brandt, Laura K.
3 Carati, Andrea
3 Castro, Ángel
3 Chatterjee, Prasanta
3 Crowdy, Darren Gregory
3 De Luna, Manuel Quezada
3 Deconinck, Bernard
3 Ehrenstein, Uwe
3 Fernandez, Victor M.
3 Friesecke, Gero
3 Galgani, Luigi
3 Gao, Yitian
3 Gardner, Clifford S.
3 Getzler, Ezra
3 Gilbert, Andrew D.
3 Greene, John M.
3 Greenough, Jeffrey A.
3 Hanazaki, Hideshi
3 Hasegawa, Akira
3 Hassainia, Zineb
3 Hereman, Willy A.
3 Herrmann, Michael
3 Himonas, A. Alexandrou
3 Hou, Thomas Yizhao
3 Hyman, James M.
...and 1,574 more Authors
all top 5

Cited in 213 Serials

132 Journal of Fluid Mechanics
95 Physics of Fluids
65 Journal of Computational Physics
55 Journal of Mathematical Physics
41 Physica D
38 Applied Mathematics and Computation
27 Chaos, Solitons and Fractals
26 Wave Motion
25 Physics of Fluids, A
25 Chaos
22 Communications in Mathematical Physics
22 Communications in Nonlinear Science and Numerical Simulation
17 Journal of Mathematical Analysis and Applications
16 Mathematics and Computers in Simulation
15 Archive for Rational Mechanics and Analysis
14 European Journal of Mechanics. B. Fluids
12 Journal of Computational and Applied Mathematics
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Applied Numerical Mathematics
10 Computers & Mathematics with Applications
10 Studies in Applied Mathematics
10 Nonlinear Dynamics
8 Geophysical and Astrophysical Fluid Dynamics
8 Theoretical and Computational Fluid Dynamics
8 Applied Mathematics and Mechanics. (English Edition)
8 Acta Applicandae Mathematicae
8 Journal of Scientific Computing
8 Discrete and Continuous Dynamical Systems
7 Computer Methods in Applied Mechanics and Engineering
7 Fluid Dynamics
7 Journal of Statistical Physics
7 Letters in Mathematical Physics
7 Regular and Chaotic Dynamics
7 Physical Review Letters
7 Journal of Nonlinear Mathematical Physics
6 Astrophysics and Space Science
6 Communications on Pure and Applied Mathematics
6 Journal of Differential Equations
6 Journal of Soviet Mathematics
6 Applied Mathematics Letters
6 International Journal of Computer Mathematics
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Journal of Nonlinear Science
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Shock Waves
5 Applied Mathematical Modelling
5 Bulletin of the American Mathematical Society. New Series
5 Mathematical Problems in Engineering
5 Proceedings of the Japan Academy
4 Applicable Analysis
4 Journal of Applied Mathematics and Mechanics
4 Journal of Engineering Mathematics
4 Mathematical Methods in the Applied Sciences
4 Nonlinearity
4 Ukrainian Mathematical Journal
4 Journal of Geometry and Physics
4 Advances in Mathematics
4 Transactions of the American Mathematical Society
4 International Journal of Computational Fluid Dynamics
4 Abstract and Applied Analysis
4 Journal of High Energy Physics
4 Journal of Modern Optics
4 Journal of Turbulence
4 Advances in Mathematical Physics
3 Modern Physics Letters B
3 Computers and Fluids
3 International Journal of Engineering Science
3 Physics Letters. A
3 Physics Reports
3 Theoretical and Mathematical Physics
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Meccanica
3 Numerical Methods for Partial Differential Equations
3 Numerical Algorithms
3 Computational Mathematics and Mathematical Physics
3 Proceedings of the National Academy of Sciences of the United States of America
3 SIAM Journal on Scientific Computing
3 Annals of Mathematics. Second Series
3 Lobachevskii Journal of Mathematics
3 Nonlinear Analysis. Real World Applications
3 Advances in Difference Equations
3 Journal of Statistical Mechanics: Theory and Experiment
3 Journal of Physics A: Mathematical and Theoretical
3 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal of Modern Physics B
2 Acta Mechanica
2 Computer Physics Communications
2 International Journal of Theoretical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nuclear Physics. B
2 Reports on Mathematical Physics
2 Mathematics of Computation
2 BIT
2 Mechanics Research Communications
2 Proceedings of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 113 more Serials
all top 5

Cited in 44 Fields

603 Partial differential equations (35-XX)
553 Fluid mechanics (76-XX)
228 Dynamical systems and ergodic theory (37-XX)
203 Numerical analysis (65-XX)
64 Geophysics (86-XX)
56 Statistical mechanics, structure of matter (82-XX)
41 Mechanics of deformable solids (74-XX)
36 Quantum theory (81-XX)
34 Mechanics of particles and systems (70-XX)
29 Ordinary differential equations (34-XX)
24 Optics, electromagnetic theory (78-XX)
17 Global analysis, analysis on manifolds (58-XX)
10 Differential geometry (53-XX)
9 Difference and functional equations (39-XX)
9 Integral equations (45-XX)
9 Operator theory (47-XX)
8 History and biography (01-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Computer science (68-XX)
7 Nonassociative rings and algebras (17-XX)
6 General and overarching topics; collections (00-XX)
6 Probability theory and stochastic processes (60-XX)
6 Astronomy and astrophysics (85-XX)
5 Statistics (62-XX)
5 Relativity and gravitational theory (83-XX)
5 Biology and other natural sciences (92-XX)
5 Systems theory; control (93-XX)
4 Algebraic geometry (14-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Number theory (11-XX)
2 Topological groups, Lie groups (22-XX)
2 Functional analysis (46-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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