## Craig, Walter

Compute Distance To:
 Author ID: craig.walter Published as: Craig, Walter; Craig, W. Homepage: http://ms.mcmaster.ca/craig/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND
 Documents Indexed: 81 Publications since 1983, including 2 Books 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 43 Co-Authors with 58 Joint Publications 1,155 Co-Co-Authors
all top 5

### Co-Authors

 25 single-authored 19 Sulem, Catherine 12 Guyenne, Philippe 5 Wayne, Clarence Eugene 4 Kappeler, Thomas 3 Biryuk, Andrei Eduardovich 3 Groves, Mark D. 3 Nicholls, David P. 3 Simon, Barry 3 Sternberg, Peter J. 3 Strauss, Walter Alexander 2 García-Azpeitia, Carlos 2 Henderson, Diane M. 2 Kalisch, Henrik 2 Matei, Ana-Maria 2 Wang, Yun 2 Worfolk, Patrick A. 1 Abbasi, Bilal 1 Arnold, Maxim 1 Avron, Joseph E. 1 Chueshov, Igor’ Dmitrievich 1 de Bouard, Anne 1 Díaz-Espinosa, Oliver 1 Eliasson, L. Hakan 1 Gazeau, Maxime 1 Goodman, Jonathan B. 1 Hammack, Joseph L. 1 Huang, Xiangdi 1 Hunton, B. J. 1 Ibrahim, Slim 1 Lacave, Christophe 1 Lannes, David 1 Oscamou, Maribeth 1 Panferov, Vladislav A. 1 Piatnitski, Andrey L. 1 Schanz, Ulrich 1 Schneider, Guido 1 Segur, Harvey 1 Selvitella, Alessandro 1 Shirikyan, Armen R. 1 Starko, Darij 1 Sulem, Pierre-Louis 1 Weinstein, Steven J. 1 Yang, Chi-Ru
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### Serials

 4 Communications in Mathematical Physics 4 Physica D 3 Communications on Pure and Applied Mathematics 3 Journal of Fluid Mechanics 3 Wave Motion 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Nonlinearity 2 Russian Mathematical Surveys 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Séminaire Équations aux Dérivées Partielles 2 European Journal of Mechanics. B. Fluids 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics Letters 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Physics A: Mathematical and General 1 Physics of Fluids 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Oberwolfach Reports 1 Graduate Studies in Mathematics 1 Panoramas et Synthèses 1 Bollettino dell’Unione Matematica Italiana 1 Water Waves
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### Fields

 60 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 19 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 4 Differential geometry (53-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 1,777 times in 1,218 Documents Cited by Year
Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104
Craig, Walter; Wayne, C. Eugene
1993
Numerical simulation of gravity waves. Zbl 0778.76072
Craig, W.; Sulem, C.
1993
An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030
Craig, Walter
1985
Craig, Walter; Guyenne, Philippe; Kalisch, Henrik
2005
Hamiltonian long-wave approximations to the water-wave problem. Zbl 0929.76015
Craig, Walter; Groves, Mark D.
1994
Traveling two and three dimensional capillary gravity water waves. Zbl 0976.35049
Craig, Walter; Nicholls, David P.
2000
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
1992
The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Zbl 0892.76008
Craig, Walter; Schanz, Ulrich; Sulem, Catherine
1997
Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106
Craig, Walter; Kappeler, Thomas; Strauss, Walter
1995
Subharmonicity of the Lyapunov index. Zbl 0518.35027
Craig, W.; Simon, B.
1983
Symmetry of solitary waves. Zbl 0651.76008
Craig, Walter; Sternberg, Peter
1988
Solitary water wave interactions. Zbl 1185.76463
Craig, W.; Guyenne, P.; Hammack, J.; Henderson, D.; Sulem, C.
2006
The trace formula for Schrödinger operators on the line. Zbl 0681.34026
Craig, Walter
1989
Gain of regularity for equations of KdV type. Zbl 0764.35021
Craig, W.; Kappeler, T.; Strauss, W.
1992
Hamiltonian long-wave expansions for water waves over a rough bottom. Zbl 1145.76325
Craig, Walter; Guyenne, Philippe; Nicholls, David P.; Sulem, Catherine
2005
Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Zbl 0532.60057
Craig, Walter; Simon, Barry
1983
Traveling gravity water waves in two and three dimensions. Zbl 1084.76509
Craig, Walter; Nicholls, David P.
2002
Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236
Craig, Walter; Huang, Xiangdi; Wang, Yun
2013
Non-existence of solitary water waves in three dimensions. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1013.76015
Craig, Walter
2002
Small divisor problems in partial differential equations. (Problèmes de petits diviseurs dans les équations aux dérivées partielles.) Zbl 0977.35014
Craig, Walter
2000
Linear dispersive equations of Airy type. Zbl 0709.35090
Craig, Walter; Goodman, Jonathan
1990
On determinism and well-posedness in multiple time dimensions. Zbl 1181.35140
Craig, Walter; Weinstein, Steven
2009
Pure point spectrum for discrete almost periodic Schrödinger operators. Zbl 0525.35076
Craig, Walter
1983
An integrable normal form for water waves in infinite depth. Zbl 0883.35092
Craig, Walter; Worfolk, Patrick A.
1995
Water waves over a random bottom. Zbl 1183.76629
Craig, W.; Guyenne, P.; Sulem, C.
2009
Normal forms for wave motion in fluid interfaces. Zbl 1074.76553
Craig, Walter; Groves, Mark D.
2000
The surface signature of internal waves. Zbl 1275.76059
Craig, W.; Guyenne, P.; Sulem, C.
2012
Mathematical aspects of surface water waves. Zbl 1203.76023
Craig, W.; Wayne, C. E.
2007
A Hamiltonian approach to nonlinear modulation of surface water waves. Zbl 1231.76028
Craig, Walter; Guyenne, Philippe; Sulem, Catherine
2010
An integrable normal form for water waves in infinite depth. Zbl 1194.76025
Craig, Walter; Worfolk, Patrick A.
1995
Long wave expansions for water waves over random topography. Zbl 1228.76029
de Bouard, Anne; Craig, Walter; Díaz-Espinosa, Oliver; Guyenne, Philippe; Sulem, Catherine
2008
Birkhoff normal forms for water waves. Zbl 0953.76009
Craig, Walter
1996
Construction of suitable weak solutions of the Navier-Stokes equations. Zbl 1205.35187
Biryuk, Andrei; Craig, Walter; Ibrahim, Slim
2007
Mapping properties of normal forms transformations for water waves. Zbl 1382.37066
Craig, Walter; Sulem, Catherine
2016
Nonstrictly hyperbolic nonlinear systems. Zbl 0614.35060
Craig, Walter
1987
Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water. Zbl 1258.76035
Craig, Walter; Guyenne, Philippe; Sulem, Catherine
2012
Symmetry of free-surface flows. Zbl 0765.76015
Craig, Walter; Sternberg, Peter
1992
A new model for large amplitude long internal waves. Zbl 1223.35256
Craig, Walter; Guyenne, Philippe; Kalisch, Henrik
2004
Surface water waves and tsunamis. Zbl 1207.76016
Craig, Walter
2006
On the regularity of the Neumann problem for free surfaces with surface tension. Zbl 1157.35381
Craig, Walter; Matei, Ana-Maria
2007
A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations. Zbl 0518.35057
Craig, Walter
1983
Normal form transformations for capillary-gravity water waves. Zbl 1331.35274
Craig, Walter; Sulem, Catherine
2015
Standing waves in near-parallel vortex filaments. Zbl 1386.35337
Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru
2017
Water waves, Hamiltonian systems and Cauchy integrals. Zbl 0768.76006
Craig, Walter
1991
On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. Zbl 1327.35366
Abbasi, Bilal; Craig, Walter
2014
Large coupling behaviour of the Lyapunov exponent for tight binding one- dimensional random systems. Zbl 0568.34043
Avron, J.; Craig, W.; Simon, B.
1983
Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069
Craig, Walter; Lannes, David; Sulem, Catherine
2012
On the size of the Navier-Stokes singular set. Zbl 1194.35301
Arnold, Maxim; Craig, Walter
2010
Strong solutions of the Boltzmann equation in one spatial dimension. Zbl 1096.35001
Biryuk, Andrei; Craig, Walter; Panferov, Vladislav
2006
Bloch theory and spectral gaps for linearized water waves. Zbl 1401.76035
Craig, Walter; Gazeau, Maxime; Lacave, Christophe; Sulem, Catherine
2018
Infinite gain of regularity for dispersive evolution equations. Zbl 0767.35076
Craig, W.; Kappeler, T.; Strauss, W.
1991
Nonlinear waves and the $$1:1:2$$ resonance. Zbl 0849.35133
Craig, Walter; Wayne, C. Eugene
1994
Internal waves coupled to surface gravity waves in three dimensions. Zbl 1327.76043
Craig, Walter; Guyenne, Philippe; Sulem, Catherine
2015
Microlocal moments and regularity of solutions of the Schrödinger equation. (Les moments microlocaux et la régularité des solutions de l’équation de Schrödinger.) Zbl 0899.35084
Craig, W.
1996
On the Badulin, Kharif and Shrira model of resonant water waves. Zbl 1049.76008
Craig, Walter
2001
Stable three-dimensional waves of nearly permanent form on deep water. Zbl 1123.76020
Craig, Walter; Henderson, Diane M.; Oscamou, Maribeth; Segur, Harvey
2007
Bounds on Kolmogorov spectra for the Navier-Stokes equations. Zbl 1236.35101
Biryuk, Andrei; Craig, Walter
2012
The wave equation in Friedmann-Robertson-Walker space-times and asymptotics of the intensity and distance relationship of a localised source. Zbl 1390.83480
Starko, Darij; Craig, Walter
2018
Regularity of progressive surface waves. (Sur la régularité des ondes progressives à la surface de l’eau.) Zbl 1229.35032
Craig, Walter; Matei, Ana-Maria
2003
Craig, Walter; Sternberg, Peter
1991
Floquet exponents for Jacobi fields. Zbl 0696.58026
Craig, Walter
1991
KAM theory in infinite dimensions. Zbl 0849.35075
Craig, Walter
1996
Standing waves of fixed period for $$n+1$$ vortex filaments. Zbl 1452.35027
Craig, Walter; García-Azpeitia, Carlos
2020
Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Zbl 1131.37002
2008
Transformation theory of Hamiltonian PDE and the problem of water waves. Zbl 1149.37033
Craig, Walter
2008
A course on partial differential equations. Zbl 1415.35002
Craig, Walter
2018
The water-wave problem and its long-wave and modulational limits. Zbl 0968.76009
Craig, Walter; Sulem, Catherine
2000
Standing waves of fixed period for $$n+1$$ vortex filaments. Zbl 1452.35027
Craig, Walter; García-Azpeitia, Carlos
2020
Bloch theory and spectral gaps for linearized water waves. Zbl 1401.76035
Craig, Walter; Gazeau, Maxime; Lacave, Christophe; Sulem, Catherine
2018
The wave equation in Friedmann-Robertson-Walker space-times and asymptotics of the intensity and distance relationship of a localised source. Zbl 1390.83480
Starko, Darij; Craig, Walter
2018
A course on partial differential equations. Zbl 1415.35002
Craig, Walter
2018
Standing waves in near-parallel vortex filaments. Zbl 1386.35337
Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru
2017
Mapping properties of normal forms transformations for water waves. Zbl 1382.37066
Craig, Walter; Sulem, Catherine
2016
Normal form transformations for capillary-gravity water waves. Zbl 1331.35274
Craig, Walter; Sulem, Catherine
2015
Internal waves coupled to surface gravity waves in three dimensions. Zbl 1327.76043
Craig, Walter; Guyenne, Philippe; Sulem, Catherine
2015
On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. Zbl 1327.35366
Abbasi, Bilal; Craig, Walter
2014
Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236
Craig, Walter; Huang, Xiangdi; Wang, Yun
2013
The surface signature of internal waves. Zbl 1275.76059
Craig, W.; Guyenne, P.; Sulem, C.
2012
Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water. Zbl 1258.76035
Craig, Walter; Guyenne, Philippe; Sulem, Catherine
2012
Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069
Craig, Walter; Lannes, David; Sulem, Catherine
2012
Bounds on Kolmogorov spectra for the Navier-Stokes equations. Zbl 1236.35101
Biryuk, Andrei; Craig, Walter
2012
A Hamiltonian approach to nonlinear modulation of surface water waves. Zbl 1231.76028
Craig, Walter; Guyenne, Philippe; Sulem, Catherine
2010
On the size of the Navier-Stokes singular set. Zbl 1194.35301
Arnold, Maxim; Craig, Walter
2010
On determinism and well-posedness in multiple time dimensions. Zbl 1181.35140
Craig, Walter; Weinstein, Steven
2009
Water waves over a random bottom. Zbl 1183.76629
Craig, W.; Guyenne, P.; Sulem, C.
2009
Long wave expansions for water waves over random topography. Zbl 1228.76029
de Bouard, Anne; Craig, Walter; Díaz-Espinosa, Oliver; Guyenne, Philippe; Sulem, Catherine
2008
Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Zbl 1131.37002
2008
Transformation theory of Hamiltonian PDE and the problem of water waves. Zbl 1149.37033
Craig, Walter
2008
Mathematical aspects of surface water waves. Zbl 1203.76023
Craig, W.; Wayne, C. E.
2007
Construction of suitable weak solutions of the Navier-Stokes equations. Zbl 1205.35187
Biryuk, Andrei; Craig, Walter; Ibrahim, Slim
2007
On the regularity of the Neumann problem for free surfaces with surface tension. Zbl 1157.35381
Craig, Walter; Matei, Ana-Maria
2007
Stable three-dimensional waves of nearly permanent form on deep water. Zbl 1123.76020
Craig, Walter; Henderson, Diane M.; Oscamou, Maribeth; Segur, Harvey
2007
Solitary water wave interactions. Zbl 1185.76463
Craig, W.; Guyenne, P.; Hammack, J.; Henderson, D.; Sulem, C.
2006
Surface water waves and tsunamis. Zbl 1207.76016
Craig, Walter
2006
Strong solutions of the Boltzmann equation in one spatial dimension. Zbl 1096.35001
Biryuk, Andrei; Craig, Walter; Panferov, Vladislav
2006
Craig, Walter; Guyenne, Philippe; Kalisch, Henrik
2005
Hamiltonian long-wave expansions for water waves over a rough bottom. Zbl 1145.76325
Craig, Walter; Guyenne, Philippe; Nicholls, David P.; Sulem, Catherine
2005
A new model for large amplitude long internal waves. Zbl 1223.35256
Craig, Walter; Guyenne, Philippe; Kalisch, Henrik
2004
Regularity of progressive surface waves. (Sur la régularité des ondes progressives à la surface de l’eau.) Zbl 1229.35032
Craig, Walter; Matei, Ana-Maria
2003
Traveling gravity water waves in two and three dimensions. Zbl 1084.76509
Craig, Walter; Nicholls, David P.
2002
Non-existence of solitary water waves in three dimensions. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1013.76015
Craig, Walter
2002
On the Badulin, Kharif and Shrira model of resonant water waves. Zbl 1049.76008
Craig, Walter
2001
Traveling two and three dimensional capillary gravity water waves. Zbl 0976.35049
Craig, Walter; Nicholls, David P.
2000
Small divisor problems in partial differential equations. (Problèmes de petits diviseurs dans les équations aux dérivées partielles.) Zbl 0977.35014
Craig, Walter
2000
Normal forms for wave motion in fluid interfaces. Zbl 1074.76553
Craig, Walter; Groves, Mark D.
2000
The water-wave problem and its long-wave and modulational limits. Zbl 0968.76009
Craig, Walter; Sulem, Catherine
2000
The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Zbl 0892.76008
Craig, Walter; Schanz, Ulrich; Sulem, Catherine
1997
Birkhoff normal forms for water waves. Zbl 0953.76009
Craig, Walter
1996
Microlocal moments and regularity of solutions of the Schrödinger equation. (Les moments microlocaux et la régularité des solutions de l’équation de Schrödinger.) Zbl 0899.35084
Craig, W.
1996
KAM theory in infinite dimensions. Zbl 0849.35075
Craig, Walter
1996
Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106
Craig, Walter; Kappeler, Thomas; Strauss, Walter
1995
An integrable normal form for water waves in infinite depth. Zbl 0883.35092
Craig, Walter; Worfolk, Patrick A.
1995
An integrable normal form for water waves in infinite depth. Zbl 1194.76025
Craig, Walter; Worfolk, Patrick A.
1995
Hamiltonian long-wave approximations to the water-wave problem. Zbl 0929.76015
Craig, Walter; Groves, Mark D.
1994
Nonlinear waves and the $$1:1:2$$ resonance. Zbl 0849.35133
Craig, Walter; Wayne, C. Eugene
1994
Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104
Craig, Walter; Wayne, C. Eugene
1993
Numerical simulation of gravity waves. Zbl 0778.76072
Craig, W.; Sulem, C.
1993
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
1992
Gain of regularity for equations of KdV type. Zbl 0764.35021
Craig, W.; Kappeler, T.; Strauss, W.
1992
Symmetry of free-surface flows. Zbl 0765.76015
Craig, Walter; Sternberg, Peter
1992
Water waves, Hamiltonian systems and Cauchy integrals. Zbl 0768.76006
Craig, Walter
1991
Infinite gain of regularity for dispersive evolution equations. Zbl 0767.35076
Craig, W.; Kappeler, T.; Strauss, W.
1991
Craig, Walter; Sternberg, Peter
1991
Floquet exponents for Jacobi fields. Zbl 0696.58026
Craig, Walter
1991
Linear dispersive equations of Airy type. Zbl 0709.35090
Craig, Walter; Goodman, Jonathan
1990
The trace formula for Schrödinger operators on the line. Zbl 0681.34026
Craig, Walter
1989
Symmetry of solitary waves. Zbl 0651.76008
Craig, Walter; Sternberg, Peter
1988
Nonstrictly hyperbolic nonlinear systems. Zbl 0614.35060
Craig, Walter
1987
An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030
Craig, Walter
1985
Subharmonicity of the Lyapunov index. Zbl 0518.35027
Craig, W.; Simon, B.
1983
Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Zbl 0532.60057
Craig, Walter; Simon, Barry
1983
Pure point spectrum for discrete almost periodic Schrödinger operators. Zbl 0525.35076
Craig, Walter
1983
A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations. Zbl 0518.35057
Craig, Walter
1983
Large coupling behaviour of the Lyapunov exponent for tight binding one- dimensional random systems. Zbl 0568.34043
Avron, J.; Craig, W.; Simon, B.
1983
all top 5

### Cited by 1,165 Authors

 32 Craig, Walter 26 Berti, Massimiliano 26 Nicholls, David P. 24 Geng, Jiansheng 20 Procesi, Michela 18 Kalisch, Henrik 18 Schneider, Guido 17 Israwi, Samer 16 Guyenne, Philippe 15 Simon, Barry 14 Alazard, Thomas 14 Sulem, Catherine 13 Dutykh, Denys 13 Gesztesy, Fritz 13 Ji, Shuguan 13 Lannes, David 12 Bona, Jerry Lloyd 12 Wang, Zhan 11 Groves, Mark D. 11 Montalto, Riccardo 11 Saut, Jean-Claude 11 Tataru, Daniel 11 Xu, XinDong 10 Baldi, Pietro 10 Constantin, Adrian 10 Damanik, David 10 Ivanov, Rossen I. 10 Karmanova, Maria B. 10 Martin, Calin-Iulian 10 Xu, Junxiang 10 You, Jiangong 10 Yuan, Xiaoping 9 Bambusi, Dario 9 Bolle, Philippe 9 Düll, Wolf-Patrick 9 Himonas, A. Alexandrou 9 Mitsotakis, Dimitrios E. 9 Shi, Yanling 8 Feola, Roberto 8 Klein, Abel 8 Ponce, Gustavo 8 Wahlén, Erik 7 Ambrose, David M. 7 Chen, Robin Ming 7 Gentile, Guido 7 Granero Belinchón, Rafael 7 Iooss, Gérard 7 Johnson, Russell Allan 7 Nakamura, Shu 7 Naumkin, Pavel Ivanovich 7 Pusateri, Fabio 7 Si, Jianguo 7 Vanden-Broeck, Jean-Marc 7 Wheeler, Miles H. 7 Zhang, Bingyu 6 Biasco, Luca 6 Compelli, Alan C. 6 Corsi, Livia 6 de la Llave, Rafael 6 Dias, Frédéric 6 Duchêne, Vincent 6 Haus, Emanuele 6 Hayashi, Nakao 6 Ionescu, Alexandru D. 6 Jitomirskaya, Svetlana Yakovlevna 6 Kenig, Carlos Eduardo 6 Kozlov, Vladimir A. 6 Kuznetsov, Nikolai Germanovich 6 Li, Yong 6 Liu, Yue 6 Martel, Yvan 6 Milewski, Paul A. 6 Părău, Emilian I. 6 Shkoller, Steve 6 Van Groesen, Embrecht W. C. 6 Vera Villagrán, Octavio Paulo 6 Walsh, Samuel 6 Wayne, Clarence Eugene 6 Wilkening, Jon A. 6 Wu, Sijue 6 Zakharov, Vladimir Evgen’evich 6 Zinchenko, Maxim 5 Bridges, Thomas J. 5 Clamond, Didier 5 Cong, Hongzi 5 Deconinck, Bernard 5 Dinvay, Evgueni 5 Escher, Joachim 5 Gao, Yixian 5 Masmoudi, Nader 5 Merle, Frank 5 Metcalfe, Jason L. 5 Pilod, Didier 5 Scrobogna, Stefano 5 Yang, Jiaqi 5 Yu, Haibo 5 Yuditskii, Peter Meerovich 5 Zampogni, Luca 5 Zhong, Xin 5 Zuily, Claude ...and 1,065 more Authors
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### Cited in 211 Serials

 89 Journal of Differential Equations 71 Communications in Mathematical Physics 56 Journal of Fluid Mechanics 41 Archive for Rational Mechanics and Analysis 34 Physica D 32 Journal of Dynamics and Differential Equations 29 Journal of Mathematical Analysis and Applications 27 Journal of Mathematical Physics 25 Journal of Computational Physics 25 European Journal of Mechanics. B. Fluids 23 Wave Motion 23 Communications in Partial Differential Equations 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Water Waves 20 Journal of Functional Analysis 19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 SIAM Journal on Mathematical Analysis 16 Inventiones Mathematicae 16 Discrete and Continuous Dynamical Systems 15 Advances in Mathematics 14 Applicable Analysis 14 Studies in Applied Mathematics 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Journal of Mathematical Fluid Mechanics 13 Transactions of the American Mathematical Society 12 Nonlinearity 12 Physics of Fluids 11 Proceedings of the American Mathematical Society 11 Journal of Nonlinear Science 10 Journal d’Analyse Mathématique 10 Duke Mathematical Journal 10 Quarterly of Applied Mathematics 9 Mathematics and Computers in Simulation 9 Acta Applicandae Mathematicae 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Reviews in Mathematical Physics 8 Mathematische Annalen 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Communications on Pure and Applied Mathematics 7 Journal of the European Mathematical Society (JEMS) 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Statistical Physics 6 Memoirs of the American Mathematical Society 6 Siberian Mathematical Journal 6 Doklady Mathematics 6 Mathematical Physics, Analysis and Geometry 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Engineering Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Computational and Applied Mathematics 5 Ergodic Theory and Dynamical Systems 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Bulletin of the American Mathematical Society. New Series 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Annals of Mathematics. Second Series 5 Annales Henri Poincaré 5 Journal of Nonlinear Mathematical Physics 5 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Analysis 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Physics Letters. A 4 Mathematische Nachrichten 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Chinese Annals of Mathematics. Series B 4 Applied Numerical Mathematics 4 Applied Mathematics Letters 4 Geometric and Functional Analysis. GAFA 4 Calculus of Variations and Partial Differential Equations 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Evolution Equations 4 Annals of PDE 4 Séminaire Laurent Schwartz. EDP et Applications 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Computers and Fluids 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 Functional Analysis and its Applications 3 Journal of the American Mathematical Society 3 Journal of Scientific Computing 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Mathematical Sciences (New York) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Dynamics 3 Communications in Contemporary Mathematics 3 Journal of Hyperbolic Differential Equations 3 Boundary Value Problems 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Frontiers of Mathematics in China 3 Science China. Mathematics 3 Analysis and Mathematical Physics 2 Inverse Problems 2 Israel Journal of Mathematics 2 Letters in Mathematical Physics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Monatshefte für Mathematik ...and 111 more Serials
all top 5

### Cited in 44 Fields

 867 Partial differential equations (35-XX) 596 Fluid mechanics (76-XX) 237 Dynamical systems and ergodic theory (37-XX) 68 Operator theory (47-XX) 67 Numerical analysis (65-XX) 63 Quantum theory (81-XX) 62 Geophysics (86-XX) 60 Ordinary differential equations (34-XX) 39 Statistical mechanics, structure of matter (82-XX) 36 Mechanics of deformable solids (74-XX) 35 Global analysis, analysis on manifolds (58-XX) 34 Mechanics of particles and systems (70-XX) 32 Probability theory and stochastic processes (60-XX) 20 Differential geometry (53-XX) 18 Optics, electromagnetic theory (78-XX) 12 Difference and functional equations (39-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Functional analysis (46-XX) 10 Functions of a complex variable (30-XX) 10 Systems theory; control (93-XX) 9 Relativity and gravitational theory (83-XX) 8 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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