Edit Profile (opens in new tab) Craig, Walter (b. 1953 d. 2019) Co-Author Distance 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 · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 84 Publications since 1983, including 2 Books and 2 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 44 Co-Authors with 60 Joint Publications 1,171 Co-Co-Authors all top 5 Co-Authors 26 single-authored 19 Sulem, Catherine 12 Guyenne, Philippe 5 Wayne, Clarence Eugene 4 Kappeler, Thomas 3 Biryuk, Andrei Eduardovich 3 García-Azpeitia, Carlos 3 Groves, Mark D. 3 Nicholls, David P. 3 Simon, Barry 3 Sternberg, Peter J. 3 Strauss, Walter Alexander 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 Reddy, Mikale 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 all top 5 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 Comptes Rendus Mathématiques de l’Académie des Sciences 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 all top 5 Fields 62 Partial differential equations (35-XX) 49 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 2,303 times in 1,568 Documents Cited by ▼ Year ▼ Numerical simulation of gravity waves. Zbl 0778.76072 Craig, W.; Sulem, C. 285 1993 Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104 Craig, Walter; Wayne, C. Eugene 269 1993 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030 Craig, Walter 198 1985 Hamiltonian long-wave expansions for free surfaces and interfaces. Zbl 1151.76385 Craig, Walter; Guyenne, Philippe; Kalisch, Henrik 126 2005 Hamiltonian long-wave approximations to the water-wave problem. Zbl 0929.76015 Craig, Walter; Groves, Mark D. 99 1994 Traveling two and three dimensional capillary gravity water waves. Zbl 0976.35049 Craig, Walter; Nicholls, David P. 88 2000 Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012 Craig, W.; Sulem, C.; Sulem, P. L. 82 1992 The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Zbl 0892.76008 Craig, Walter; Schanz, Ulrich; Sulem, Catherine 73 1997 Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106 Craig, Walter; Kappeler, Thomas; Strauss, Walter 69 1995 Subharmonicity of the Lyapunov index. Zbl 0518.35027 Craig, W.; Simon, B. 66 1983 Symmetry of solitary waves. Zbl 0651.76008 Craig, Walter; Sternberg, Peter 63 1988 Solitary water wave interactions. Zbl 1185.76463 Craig, W.; Guyenne, P.; Hammack, J.; Henderson, D.; Sulem, C. 61 2006 Hamiltonian long-wave expansions for water waves over a rough bottom. Zbl 1145.76325 Craig, Walter; Guyenne, Philippe; Nicholls, David P.; Sulem, Catherine 60 2005 Gain of regularity for equations of KdV type. Zbl 0764.35021 Craig, W.; Kappeler, T.; Strauss, W. 59 1992 Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236 Craig, Walter; Huang, Xiangdi; Wang, Yun 49 2013 The trace formula for Schrödinger operators on the line. Zbl 0681.34026 Craig, Walter 48 1989 Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Zbl 0532.60057 Craig, Walter; Simon, Barry 47 1983 Traveling gravity water waves in two and three dimensions. Zbl 1084.76509 Craig, Walter; Nicholls, David P. 43 2002 Small divisor problems in partial differential equations. (Problèmes de petits diviseurs dans les équations aux dérivées partielles.) Zbl 0977.35014 Craig, Walter 41 2000 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 33 2002 Pure point spectrum for discrete almost periodic Schrödinger operators. Zbl 0525.35076 Craig, Walter 24 1983 Linear dispersive equations of Airy type. Zbl 0709.35090 Craig, Walter; Goodman, Jonathan 22 1990 An integrable normal form for water waves in infinite depth. Zbl 0883.35092 Craig, Walter; Worfolk, Patrick A. 22 1995 On determinism and well-posedness in multiple time dimensions. Zbl 1181.35140 Craig, Walter; Weinstein, Steven 20 2009 A Hamiltonian approach to nonlinear modulation of surface water waves. Zbl 1231.76028 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 20 2010 Normal forms for wave motion in fluid interfaces. Zbl 1074.76553 Craig, Walter; Groves, Mark D. 20 2000 Mapping properties of normal forms transformations for water waves. Zbl 1382.37066 Craig, Walter; Sulem, Catherine 20 2016 The surface signature of internal waves. Zbl 1275.76059 Craig, W.; Guyenne, P.; Sulem, C. 18 2012 Water waves over a random bottom. Zbl 1183.76629 Craig, W.; Guyenne, P.; Sulem, C. 18 2009 An integrable normal form for water waves in infinite depth. Zbl 1194.76025 Craig, Walter; Worfolk, Patrick A. 16 1995 Mathematical aspects of surface water waves. Zbl 1203.76023 Craig, W.; Wayne, C. E. 15 2007 Long wave expansions for water waves over random topography. Zbl 1228.76029 de Bouard, Anne; Craig, Walter; Díaz-Espinosa, Oliver; Guyenne, Philippe; Sulem, Catherine 14 2008 Construction of suitable weak solutions of the Navier-Stokes equations. Zbl 1205.35187 Biryuk, Andrei; Craig, Walter; Ibrahim, Slim 11 2007 Nonstrictly hyperbolic nonlinear systems. Zbl 0614.35060 Craig, Walter 11 1987 Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water. Zbl 1258.76035 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 11 2012 Surface water waves and tsunamis. Zbl 1207.76016 Craig, Walter 11 2006 On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. Zbl 1327.35366 Abbasi, Bilal; Craig, Walter 11 2014 Birkhoff normal forms for water waves. Zbl 0953.76009 Craig, Walter 10 1996 A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations. Zbl 0518.35057 Craig, Walter 9 1983 Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069 Craig, Walter; Lannes, David; Sulem, Catherine 9 2012 Symmetry of free-surface flows. Zbl 0765.76015 Craig, Walter; Sternberg, Peter 8 1992 Water waves, Hamiltonian systems and Cauchy integrals. Zbl 0768.76006 Craig, Walter 8 1991 Standing waves in near-parallel vortex filaments. Zbl 1386.35337 Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru 8 2017 On the regularity of the Neumann problem for free surfaces with surface tension. Zbl 1157.35381 Craig, Walter; Matei, Ana-Maria 7 2007 A new model for large amplitude long internal waves. Zbl 1223.35256 Craig, Walter; Guyenne, Philippe; Kalisch, Henrik 7 2004 Normal form transformations for capillary-gravity water waves. Zbl 1331.35274 Craig, Walter; Sulem, Catherine 7 2015 Normal form transformations and Dysthe’s equation for the nonlinear modulation of deep-water gravity waves. Zbl 1481.76043 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 7 2021 Large coupling behaviour of the Lyapunov exponent for tight binding one- dimensional random systems. Zbl 0568.34043 Avron, J.; Craig, W.; Simon, B. 6 1983 On the size of the Navier-Stokes singular set. Zbl 1194.35301 Arnold, Maxim; Craig, Walter 6 2010 Strong solutions of the Boltzmann equation in one spatial dimension. Zbl 1096.35001 Biryuk, Andrei; Craig, Walter; Panferov, Vladislav 5 2006 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 5 2018 Internal waves coupled to surface gravity waves in three dimensions. Zbl 1327.76043 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 5 2015 Bloch theory and spectral gaps for linearized water waves. Zbl 1401.76035 Craig, Walter; Gazeau, Maxime; Lacave, Christophe; Sulem, Catherine 5 2018 Infinite gain of regularity for dispersive evolution equations. Zbl 0767.35076 Craig, W.; Kappeler, T.; Strauss, W. 4 1991 On the Badulin, Kharif and Shrira model of resonant water waves. Zbl 1049.76008 Craig, Walter 4 2001 A course on partial differential equations. Zbl 1415.35002 Craig, Walter 4 2018 Nonlinear waves and the \(1:1:2\) resonance. Zbl 0849.35133 Craig, Walter; Wayne, C. Eugene 3 1994 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. 3 1996 Transformation theory of Hamiltonian PDE and the problem of water waves. Zbl 1149.37033 Craig, Walter 3 2008 The water wave problem and Hamiltonian transformation theory. Zbl 1479.76013 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 3 2021 Stable three-dimensional waves of nearly permanent form on deep water. Zbl 1123.76020 Craig, Walter; Henderson, Diane M.; Oscamou, Maribeth; Segur, Harvey 2 2007 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 2 2003 Bounds on Kolmogorov spectra for the Navier-Stokes equations. Zbl 1236.35101 Biryuk, Andrei; Craig, Walter 2 2012 KAM theory in infinite dimensions. Zbl 0849.35075 Craig, Walter 1 1996 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 1 2008 Comparison principles for free-surface flows with gravity. Zbl 0850.76085 Craig, Walter; Sternberg, Peter 1 1991 Floquet exponents for Jacobi fields. Zbl 0696.58026 Craig, Walter 1 1991 Asymptotics of surface waves over random bathymetry. Zbl 1423.86006 Craig, Walter; Sulem, Catherine 1 2010 The water-wave problem and its long-wave and modulational limits. Zbl 0968.76009 Craig, Walter; Sulem, Catherine 1 2000 Standing waves of fixed period for \(n+1\) vortex filaments. Zbl 1452.35027 Craig, Walter; García-Azpeitia, Carlos 1 2020 On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times. Zbl 07908819 Craig, Walter; Reddy, Mikale 1 2019 Normal form transformations and Dysthe’s equation for the nonlinear modulation of deep-water gravity waves. Zbl 1481.76043 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 7 2021 The water wave problem and Hamiltonian transformation theory. Zbl 1479.76013 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 3 2021 Standing waves of fixed period for \(n+1\) vortex filaments. Zbl 1452.35027 Craig, Walter; García-Azpeitia, Carlos 1 2020 On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times. Zbl 07908819 Craig, Walter; Reddy, Mikale 1 2019 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 5 2018 Bloch theory and spectral gaps for linearized water waves. Zbl 1401.76035 Craig, Walter; Gazeau, Maxime; Lacave, Christophe; Sulem, Catherine 5 2018 A course on partial differential equations. Zbl 1415.35002 Craig, Walter 4 2018 Standing waves in near-parallel vortex filaments. Zbl 1386.35337 Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru 8 2017 Mapping properties of normal forms transformations for water waves. Zbl 1382.37066 Craig, Walter; Sulem, Catherine 20 2016 Normal form transformations for capillary-gravity water waves. Zbl 1331.35274 Craig, Walter; Sulem, Catherine 7 2015 Internal waves coupled to surface gravity waves in three dimensions. Zbl 1327.76043 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 5 2015 On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. Zbl 1327.35366 Abbasi, Bilal; Craig, Walter 11 2014 Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. Zbl 1293.35236 Craig, Walter; Huang, Xiangdi; Wang, Yun 49 2013 The surface signature of internal waves. Zbl 1275.76059 Craig, W.; Guyenne, P.; Sulem, C. 18 2012 Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water. Zbl 1258.76035 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 11 2012 Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069 Craig, Walter; Lannes, David; Sulem, Catherine 9 2012 Bounds on Kolmogorov spectra for the Navier-Stokes equations. Zbl 1236.35101 Biryuk, Andrei; Craig, Walter 2 2012 A Hamiltonian approach to nonlinear modulation of surface water waves. Zbl 1231.76028 Craig, Walter; Guyenne, Philippe; Sulem, Catherine 20 2010 On the size of the Navier-Stokes singular set. Zbl 1194.35301 Arnold, Maxim; Craig, Walter 6 2010 Asymptotics of surface waves over random bathymetry. Zbl 1423.86006 Craig, Walter; Sulem, Catherine 1 2010 On determinism and well-posedness in multiple time dimensions. Zbl 1181.35140 Craig, Walter; Weinstein, Steven 20 2009 Water waves over a random bottom. Zbl 1183.76629 Craig, W.; Guyenne, P.; Sulem, C. 18 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 14 2008 Transformation theory of Hamiltonian PDE and the problem of water waves. Zbl 1149.37033 Craig, Walter 3 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 1 2008 Mathematical aspects of surface water waves. Zbl 1203.76023 Craig, W.; Wayne, C. E. 15 2007 Construction of suitable weak solutions of the Navier-Stokes equations. Zbl 1205.35187 Biryuk, Andrei; Craig, Walter; Ibrahim, Slim 11 2007 On the regularity of the Neumann problem for free surfaces with surface tension. Zbl 1157.35381 Craig, Walter; Matei, Ana-Maria 7 2007 Stable three-dimensional waves of nearly permanent form on deep water. Zbl 1123.76020 Craig, Walter; Henderson, Diane M.; Oscamou, Maribeth; Segur, Harvey 2 2007 Solitary water wave interactions. Zbl 1185.76463 Craig, W.; Guyenne, P.; Hammack, J.; Henderson, D.; Sulem, C. 61 2006 Surface water waves and tsunamis. Zbl 1207.76016 Craig, Walter 11 2006 Strong solutions of the Boltzmann equation in one spatial dimension. Zbl 1096.35001 Biryuk, Andrei; Craig, Walter; Panferov, Vladislav 5 2006 Hamiltonian long-wave expansions for free surfaces and interfaces. Zbl 1151.76385 Craig, Walter; Guyenne, Philippe; Kalisch, Henrik 126 2005 Hamiltonian long-wave expansions for water waves over a rough bottom. Zbl 1145.76325 Craig, Walter; Guyenne, Philippe; Nicholls, David P.; Sulem, Catherine 60 2005 A new model for large amplitude long internal waves. Zbl 1223.35256 Craig, Walter; Guyenne, Philippe; Kalisch, Henrik 7 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 2 2003 Traveling gravity water waves in two and three dimensions. Zbl 1084.76509 Craig, Walter; Nicholls, David P. 43 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 33 2002 On the Badulin, Kharif and Shrira model of resonant water waves. Zbl 1049.76008 Craig, Walter 4 2001 Traveling two and three dimensional capillary gravity water waves. Zbl 0976.35049 Craig, Walter; Nicholls, David P. 88 2000 Small divisor problems in partial differential equations. (Problèmes de petits diviseurs dans les équations aux dérivées partielles.) Zbl 0977.35014 Craig, Walter 41 2000 Normal forms for wave motion in fluid interfaces. Zbl 1074.76553 Craig, Walter; Groves, Mark D. 20 2000 The water-wave problem and its long-wave and modulational limits. Zbl 0968.76009 Craig, Walter; Sulem, Catherine 1 2000 The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Zbl 0892.76008 Craig, Walter; Schanz, Ulrich; Sulem, Catherine 73 1997 Birkhoff normal forms for water waves. Zbl 0953.76009 Craig, Walter 10 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. 3 1996 KAM theory in infinite dimensions. Zbl 0849.35075 Craig, Walter 1 1996 Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106 Craig, Walter; Kappeler, Thomas; Strauss, Walter 69 1995 An integrable normal form for water waves in infinite depth. Zbl 0883.35092 Craig, Walter; Worfolk, Patrick A. 22 1995 An integrable normal form for water waves in infinite depth. Zbl 1194.76025 Craig, Walter; Worfolk, Patrick A. 16 1995 Hamiltonian long-wave approximations to the water-wave problem. Zbl 0929.76015 Craig, Walter; Groves, Mark D. 99 1994 Nonlinear waves and the \(1:1:2\) resonance. Zbl 0849.35133 Craig, Walter; Wayne, C. Eugene 3 1994 Numerical simulation of gravity waves. Zbl 0778.76072 Craig, W.; Sulem, C. 285 1993 Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104 Craig, Walter; Wayne, C. Eugene 269 1993 Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012 Craig, W.; Sulem, C.; Sulem, P. L. 82 1992 Gain of regularity for equations of KdV type. Zbl 0764.35021 Craig, W.; Kappeler, T.; Strauss, W. 59 1992 Symmetry of free-surface flows. Zbl 0765.76015 Craig, Walter; Sternberg, Peter 8 1992 Water waves, Hamiltonian systems and Cauchy integrals. Zbl 0768.76006 Craig, Walter 8 1991 Infinite gain of regularity for dispersive evolution equations. Zbl 0767.35076 Craig, W.; Kappeler, T.; Strauss, W. 4 1991 Comparison principles for free-surface flows with gravity. Zbl 0850.76085 Craig, Walter; Sternberg, Peter 1 1991 Floquet exponents for Jacobi fields. Zbl 0696.58026 Craig, Walter 1 1991 Linear dispersive equations of Airy type. Zbl 0709.35090 Craig, Walter; Goodman, Jonathan 22 1990 The trace formula for Schrödinger operators on the line. Zbl 0681.34026 Craig, Walter 48 1989 Symmetry of solitary waves. Zbl 0651.76008 Craig, Walter; Sternberg, Peter 63 1988 Nonstrictly hyperbolic nonlinear systems. Zbl 0614.35060 Craig, Walter 11 1987 An existence theory for water waves and the Boussinesq and Korteweg- deVries scaling limits. Zbl 0577.76030 Craig, Walter 198 1985 Subharmonicity of the Lyapunov index. Zbl 0518.35027 Craig, W.; Simon, B. 66 1983 Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Zbl 0532.60057 Craig, Walter; Simon, Barry 47 1983 Pure point spectrum for discrete almost periodic Schrödinger operators. Zbl 0525.35076 Craig, Walter 24 1983 A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations. Zbl 0518.35057 Craig, Walter 9 1983 Large coupling behaviour of the Lyapunov exponent for tight binding one- dimensional random systems. Zbl 0568.34043 Avron, J.; Craig, W.; Simon, B. 6 1983 all cited Publications top 5 cited Publications all top 5 Cited by 1,470 Authors 37 Berti, Massimiliano 33 Craig, Walter 29 Geng, Jiansheng 27 Nicholls, David P. 23 Procesi, Michela 22 Kalisch, Henrik 22 Schneider, Guido 21 Guyenne, Philippe 21 Sulem, Catherine 20 Israwi, Samer 17 Alazard, Thomas 17 Ji, Shuguan 17 Simon, Barry 16 Dutykh, Denys 16 Ivanov, Rossen I. 14 Montalto, Riccardo 13 Bona, Jerry Lloyd 13 Gesztesy, Fritz 13 Groves, Mark D. 13 Himonas, A. Alexandrou 13 Lannes, David 13 Martin, Calin-Iulian 13 Wahlén, Erik 13 Wang, Zhan 13 Yuan, Xiaoping 12 Saut, Jean-Claude 12 Tataru, Daniel 12 Xu, Junxiang 12 Xu, XinDong 11 Baldi, Pietro 11 Damanik, David 11 Feola, Roberto 11 Karmanova, Mariya Borisovna 11 Mitsotakis, Dimitrios E. 11 You, Jiangong 10 Bambusi, Dario 10 Constantin, Adrian 10 Düll, Wolf-Patrick 10 Iooss, Gérard 10 Naumkin, Pavel Ivanovich 10 Shi, Yanling 10 Sun, Shuming 9 Ambrose, David M. 9 Bolle, Philippe 9 Hayashi, Nakao 9 Klein, Abel 9 Kuznetsov, Nikolai Germanovich 9 Maspero, Alberto 9 Pusateri, Fabio 9 Si, Jianguo 8 Deconinck, Bernard 8 Duchêne, Vincent 8 Gao, Meina 8 Granero Belinchón, Rafael 8 Kozlov, Vladimir A. 8 Li, Yong 8 Ponce, Gustavo 8 Van Groesen, Embrecht W. C. 8 Vanden-Broeck, Jean-Marc 8 Vera Villagrán, Octavio Paulo 8 Wei, Hui 8 Wheeler, Miles H. 8 Wilkening, Jon A. 8 Zhong, Xin 8 Zuily, Claude 7 Biasco, Luca 7 Chen, Min 7 Chen, Robin Ming 7 Gao, Yixian 7 Gentile, Guido 7 Haus, Emanuele 7 Ionescu, Alexandru D. 7 Jitomirskaya, Svetlana Yakovlevna 7 Johnson, Russell Allan 7 Liu, Jianjun 7 Liu, Yue 7 Milewski, Paul A. 7 Nakamura, Shu 7 Panayotaros, Panayotis 7 Pilod, Didier 7 Walsh, Samuel 7 Yan, Fangchi 7 Zakharov, Vladimir Evgen’evich 7 Zhang, Bing-Yu 6 Camassa, Roberto 6 Choi, Wooyoung 6 Clamond, Didier 6 Coclite, Giuseppe Maria 6 Compelli, Alan C. 6 Cong, Hongzi 6 Corsi, Livia 6 de la Llave, Rafael 6 Di Ruvo, Lorenzo 6 Dias, Frédéric 6 Duran, Angel 6 Ehrnström, Mats 6 Kenig, Carlos Eduardo 6 Khorbatly, Bashar 6 Martel, Yvan 6 Masmoudi, Nader ...and 1,370 more Authors all top 5 Cited in 255 Serials 104 Journal of Differential Equations 80 Communications in Mathematical Physics 70 Journal of Fluid Mechanics 52 Archive for Rational Mechanics and Analysis 41 Physica D 38 Journal of Mathematical Physics 35 Journal of Dynamics and Differential Equations 32 Journal of Mathematical Analysis and Applications 30 Wave Motion 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Journal of Computational Physics 27 European Journal of Mechanics. B. Fluids 27 Water Waves 26 SIAM Journal on Mathematical Analysis 25 Nonlinearity 23 Journal of Functional Analysis 23 Studies in Applied Mathematics 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Communications in Partial Differential Equations 20 Discrete and Continuous Dynamical Systems 19 Advances in Mathematics 18 Inventiones Mathematicae 17 Applicable Analysis 16 Communications on Pure and Applied Mathematics 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Journal of Mathematical Fluid Mechanics 15 Mathematical Methods in the Applied Sciences 13 Transactions of the American Mathematical Society 12 Duke Mathematical Journal 12 Proceedings of the American Mathematical Society 12 Quarterly of Applied Mathematics 12 Physics of Fluids 11 Journal d’Analyse Mathématique 11 Mathematics and Computers in Simulation 11 Journal of Nonlinear Science 10 Mathematische Annalen 10 Nonlinear Analysis. Real World Applications 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Acta Applicandae Mathematicae 9 Communications on Pure and Applied Analysis 8 Physics Letters. A 8 Reviews in Mathematical Physics 8 Memoirs of the American Mathematical Society 8 Journal of the European Mathematical Society (JEMS) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Annals of PDE 7 Siberian Mathematical Journal 7 Applied Numerical Mathematics 7 Applied Mathematics Letters 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Communications in Nonlinear Science and Numerical Simulation 7 Annales Henri Poincaré 7 Journal of Nonlinear Mathematical Physics 7 Journal of Evolution Equations 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Statistical Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 SIAM Journal on Applied Mathematics 6 Calculus of Variations and Partial Differential Equations 6 Doklady Mathematics 6 Mathematical Physics, Analysis and Geometry 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Engineering Mathematics 5 Journal of Computational and Applied Mathematics 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Ergodic Theory and Dynamical Systems 5 Geometric and Functional Analysis. GAFA 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 Regular and Chaotic Dynamics 5 Qualitative Theory of Dynamical Systems 5 Journal of Hyperbolic Differential Equations 5 Analysis & PDE 5 Séminaire Laurent Schwartz. EDP et Applications 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Letters in Mathematical Physics 4 Applied Mathematics and Computation 4 Mathematische Nachrichten 4 Monatshefte für Mathematik 4 Chinese Annals of Mathematics. Series B 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Nonlinear Dynamics 4 Communications in Contemporary Mathematics 4 Boundary Value Problems 4 Science China. Mathematics 4 Analysis and Mathematical Physics 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 Optimization 3 Functional Analysis and its Applications 3 Mathematische Zeitschrift 3 SIAM Journal on Numerical Analysis 3 Journal of the American Mathematical Society 3 Asymptotic Analysis 3 Journal of Scientific Computing 3 European Journal of Applied Mathematics 3 The Journal of Geometric Analysis 3 Annales de l’Institut Henri Poincaré. Physique Théorique ...and 155 more Serials all top 5 Cited in 49 Fields 1,130 Partial differential equations (35-XX) 778 Fluid mechanics (76-XX) 318 Dynamical systems and ergodic theory (37-XX) 97 Geophysics (86-XX) 87 Operator theory (47-XX) 84 Quantum theory (81-XX) 81 Numerical analysis (65-XX) 72 Ordinary differential equations (34-XX) 55 Statistical mechanics, structure of matter (82-XX) 54 Mechanics of particles and systems (70-XX) 43 Probability theory and stochastic processes (60-XX) 43 Mechanics of deformable solids (74-XX) 39 Global analysis, analysis on manifolds (58-XX) 24 Differential geometry (53-XX) 24 Optics, electromagnetic theory (78-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 14 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 13 Relativity and gravitational theory (83-XX) 12 Integral equations (45-XX) 12 Functional analysis (46-XX) 12 Systems theory; control (93-XX) 11 Real functions (26-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 History and biography (01-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Combinatorics (05-XX) 5 Integral transforms, operational calculus (44-XX) 4 Potential theory (31-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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