## Lannes, David

Compute Distance To:
 Author ID: lannes.david Published as: Lannes, David; Lannes, D.
 Documents Indexed: 53 Publications since 1998, including 1 Book 3 Contributions as Editor Co-Authors: 33 Co-Authors with 39 Joint Publications 867 Co-Co-Authors
all top 5

### Co-Authors

 17 single-authored 6 Marche, Fabien 6 Saut, Jean-Claude 5 Colin, Thierry 4 Bona, Jerry Lloyd 4 Bonneton, Philippe 4 Chazel, Florent 2 Alvarez Samaniego, Borys 2 Castro, Ángel 2 Colin, Mathieu 2 Métivier, Guy 2 Tissier, Matthieu 1 Bardos, Claude Williams 1 Barrailh, Karen 1 Barthelemy, Eric 1 Ben Youssef, Walid 1 Besse, Christophe 1 Bresch, Didier 1 Carles, Rémi 1 Cienfuegos, Rodrigo 1 Colombini, Ferruccio 1 Constantin, Adrian 1 Craig, Walter 1 Del Santo, Daniele 1 Desjardins, Benoît 1 Gérard-Varet, David 1 Guyenne, Philippe 1 Iguchi, Tatsuo 1 Linares, Felipe 1 Ming, Mei 1 Rauch, Jeffrey B. 1 Saint-Raymond, Laure 1 Sulem, Catherine 1 Weynans, Lisl
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### Serials

 4 Nonlinearity 3 Archive for Rational Mechanics and Analysis 3 Indiana University Mathematics Journal 3 Séminaire Équations aux Dérivées Partielles 3 Discrete and Continuous Dynamical Systems 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 SIAM Journal on Mathematical Analysis 2 European Journal of Mechanics. B. Fluids 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Physics of Fluids 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Surveys and Monographs 1 Kinetic and Related Models 1 Analysis & PDE 1 Springer INdAM Series 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Water Waves
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### Fields

 45 Partial differential equations (35-XX) 36 Fluid mechanics (76-XX) 11 Optics, electromagnetic theory (78-XX) 6 Geophysics (86-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 1,936 times in 1,232 Documents Cited by Year
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
2009
The water waves problem. Mathematical analysis and asymptotics. Zbl 1410.35003
Lannes, David
2013
Well-posedness of the water-waves equations. Zbl 1069.35056
Lannes, David
2005
Large time existence for 3D water waves and asymptotics. Zbl 1131.76012
Alvarez-Samaniego, Borys; Lannes, David
2008
Long wave approximations for water waves. Zbl 1108.76012
Bona, Jerry L.; Colin, Thierry; Lannes, David
2005
A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model. Zbl 1391.76066
Bonneton, P.; Chazel, F.; Lannes, D.; Marche, F.; Tissier, M.
2011
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation. Zbl 1183.76294
Lannes, David; Bonneton, Philippe
2009
The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation. Zbl 1273.35263
Lannes, David; Linares, Felipe; Saut, Jean-Claude
2013
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
2008
A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. Zbl 1351.76114
Lannes, D.; Marche, F.
2015
Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model. Zbl 1419.76454
Chazel, F.; Lannes, D.; Marche, F.
2011
A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations. Zbl 1144.35007
Alvarez-Samaniego, Borys; Lannes, David
2008
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators. Zbl 1099.35191
Lannes, David
2006
A stability criterion for two-fluid interfaces and applications. Zbl 1278.35194
Lannes, David
2013
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David
2014
Recent advances in Serre-Green-Naghdi modelling for wave transformation, breaking and runup processes. Zbl 1258.76033
Bonneton, P.; Barthelemy, E.; Chazel, F.; Cienfuegos, R.; Lannes, D.; Marche, F.; Tissier, M.
2011
Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166
Guyenne, Philippe; Lannes, David; Saut, Jean-Claude
2010
Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity. Zbl 1329.35242
Castro, Angel; Lannes, David
2015
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
2013
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
2006
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
2017
Dispersive effects for nonlinear geometrical optics with rectification. Zbl 0931.35091
Lannes, David
1998
The long wave limit for a general class of 2D quasilinear hyperbolic problems. Zbl 1072.35572
Ben Youssef, Walid; Lannes, David
2002
Long-wave short-wave resonance for nonlinear geometric optics. Zbl 1034.35133
Colin, Thierry; Lannes, David
2001
A general framework for diffractive optics and its applications to lasers with large spectrums and short pulses. Zbl 1032.78015
Barrailh, Karen; Lannes, David
2003
Secular growth estimates for hyperbolic systems. Zbl 1052.35119
Lannes, David
2003
Short pulses approximations in dispersive media. Zbl 1200.35182
Colin, Mathieu; Lannes, David
2009
Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems. Zbl 1062.35126
Colin, T.; Lannes, D.
2004
Mathematics for $$2d$$ interfaces. Zbl 1291.35208
Bardos, Claude; Lannes, David
2012
Modeling shallow water waves. Zbl 1442.35462
Lannes, D.
2020
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. (Le problème du rivage pour les équations de Saint-Venant et de Green-Naghdi uni-dimensionnelles.) Zbl 1406.35490
Lannes, David; Métivier, Guy
2018
Consistency of the KP approximation. Zbl 1066.35017
Lannes, David
2003
Nonlinear wave-current interactions in shallow water. Zbl 1341.35119
Lannes, David; Marche, Fabien
2016
Recovering water wave elevation from pressure measurements. Zbl 1419.86005
Bonneton, P.; Lannes, D.
2017
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
2001
Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069
Craig, Walter; Lannes, David; Sulem, Catherine
2012
The Kelvin-Helmholtz instabilities in two-fluids shallow water models. Zbl 1331.35281
Lannes, David; Ming, Mei
2015
Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum. Zbl 1034.35136
Lannes, David
2001
Hyperbolic free boundary problems and applications to wave-structure interactions. Zbl 1467.35360
Iguchi, Tatsuo; Lannes, David
2021
High-frequency nonlinear optics: from the nonlinear Schrödinger approximation to ultrashot-pulses equations. Zbl 1219.35283
Lannes, David
2011
Long wave approximations for water waves. Zbl 1050.76006
Bona, Jerry; Colin, Thierry; Lannes, David
2003
Space time resonances [after Germain, Masmoudi, Shatah]. Zbl 1304.35006
Lannes, David
2013
Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Zbl 1371.76002
2017
A numerical study of the long-wave short-wave resonance for 3D water waves. Zbl 0984.76059
Besse, Christophe; Lannes, David
2001
Well-posedness of the Euler equations with a free surface. (Sur le caractère bien posé des équations d’Euler avec surface libre.) Zbl 1292.76009
Lannes, David
2004
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. Zbl 07451745
Desjardins, Benoît; Lannes, David; Saut, Jean-Claude
2021
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
2003
Generating boundary conditions for a Boussinesq system. Zbl 1454.65092
Lannes, David; Weynans, L.
2020
Hyperbolic free boundary problems and applications to wave-structure interactions. Zbl 1467.35360
Iguchi, Tatsuo; Lannes, David
2021
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. Zbl 07451745
Desjardins, Benoît; Lannes, David; Saut, Jean-Claude
2021
Modeling shallow water waves. Zbl 1442.35462
Lannes, D.
2020
Generating boundary conditions for a Boussinesq system. Zbl 1454.65092
Lannes, David; Weynans, L.
2020
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. (Le problème du rivage pour les équations de Saint-Venant et de Green-Naghdi uni-dimensionnelles.) Zbl 1406.35490
Lannes, David; Métivier, Guy
2018
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
2017
Recovering water wave elevation from pressure measurements. Zbl 1419.86005
Bonneton, P.; Lannes, D.
2017
Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Zbl 1371.76002
2017
Nonlinear wave-current interactions in shallow water. Zbl 1341.35119
Lannes, David; Marche, Fabien
2016
A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. Zbl 1351.76114
Lannes, D.; Marche, F.
2015
Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity. Zbl 1329.35242
Castro, Angel; Lannes, David
2015
The Kelvin-Helmholtz instabilities in two-fluids shallow water models. Zbl 1331.35281
Lannes, David; Ming, Mei
2015
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David
2014
The water waves problem. Mathematical analysis and asymptotics. Zbl 1410.35003
Lannes, David
2013
The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation. Zbl 1273.35263
Lannes, David; Linares, Felipe; Saut, Jean-Claude
2013
A stability criterion for two-fluid interfaces and applications. Zbl 1278.35194
Lannes, David
2013
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
2013
Space time resonances [after Germain, Masmoudi, Shatah]. Zbl 1304.35006
Lannes, David
2013
Mathematics for $$2d$$ interfaces. Zbl 1291.35208
Bardos, Claude; Lannes, David
2012
Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069
Craig, Walter; Lannes, David; Sulem, Catherine
2012
A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model. Zbl 1391.76066
Bonneton, P.; Chazel, F.; Lannes, D.; Marche, F.; Tissier, M.
2011
Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model. Zbl 1419.76454
Chazel, F.; Lannes, D.; Marche, F.
2011
Recent advances in Serre-Green-Naghdi modelling for wave transformation, breaking and runup processes. Zbl 1258.76033
Bonneton, P.; Barthelemy, E.; Chazel, F.; Cienfuegos, R.; Lannes, D.; Marche, F.; Tissier, M.
2011
High-frequency nonlinear optics: from the nonlinear Schrödinger approximation to ultrashot-pulses equations. Zbl 1219.35283
Lannes, David
2011
Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166
Guyenne, Philippe; Lannes, David; Saut, Jean-Claude
2010
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
2009
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation. Zbl 1183.76294
Lannes, David; Bonneton, Philippe
2009
Short pulses approximations in dispersive media. Zbl 1200.35182
Colin, Mathieu; Lannes, David
2009
Large time existence for 3D water waves and asymptotics. Zbl 1131.76012
Alvarez-Samaniego, Borys; Lannes, David
2008
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
2008
A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations. Zbl 1144.35007
Alvarez-Samaniego, Borys; Lannes, David
2008
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators. Zbl 1099.35191
Lannes, David
2006
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
2006
Well-posedness of the water-waves equations. Zbl 1069.35056
Lannes, David
2005
Long wave approximations for water waves. Zbl 1108.76012
Bona, Jerry L.; Colin, Thierry; Lannes, David
2005
Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems. Zbl 1062.35126
Colin, T.; Lannes, D.
2004
Well-posedness of the Euler equations with a free surface. (Sur le caractère bien posé des équations d’Euler avec surface libre.) Zbl 1292.76009
Lannes, David
2004
A general framework for diffractive optics and its applications to lasers with large spectrums and short pulses. Zbl 1032.78015
Barrailh, Karen; Lannes, David
2003
Secular growth estimates for hyperbolic systems. Zbl 1052.35119
Lannes, David
2003
Consistency of the KP approximation. Zbl 1066.35017
Lannes, David
2003
Long wave approximations for water waves. Zbl 1050.76006
Bona, Jerry; Colin, Thierry; Lannes, David
2003
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
2003
The long wave limit for a general class of 2D quasilinear hyperbolic problems. Zbl 1072.35572
Ben Youssef, Walid; Lannes, David
2002
Long-wave short-wave resonance for nonlinear geometric optics. Zbl 1034.35133
Colin, Thierry; Lannes, David
2001
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
2001
Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum. Zbl 1034.35136
Lannes, David
2001
A numerical study of the long-wave short-wave resonance for 3D water waves. Zbl 0984.76059
Besse, Christophe; Lannes, David
2001
Dispersive effects for nonlinear geometrical optics with rectification. Zbl 0931.35091
Lannes, David
1998
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### Cited by 1,098 Authors

 61 Yin, Zhaoyang 46 Liu, Yue 28 Lannes, David 24 Kalisch, Henrik 23 Lai, Shaoyong 23 Qu, Changzheng 22 Saut, Jean-Claude 21 Mi, Yongsheng 20 Alazard, Thomas 20 Mu, Chunlai 19 Dutykh, Denys 19 Himonas, A. Alexandrou 19 Israwi, Samer 18 Mitsotakis, Dimitrios E. 16 Qiao, Zhijun 16 Zhou, Shouming 14 Zhu, Min 13 Chen, Robin Ming 12 Dougalis, Vassilios A. 12 Guo, Fei 12 Moon, Byungsoo 11 Yan, Wei 10 Bona, Jerry Lloyd 10 Castro, Ángel 10 Fu, Ying 10 Gui, Guilong 10 Guo, Boling 10 Liu, Xiaochuan 10 Liu, Xingxing 10 Yan, Kai 10 Zhang, Zhifei 9 Constantin, Adrian 9 Duchêne, Vincent 9 Duruk Mutlubaş, Nilay 9 Gancedo, Francisco 9 Gao, Hongjun 9 Geyer, Anna 9 Hur, Vera Mikyoung 9 Ivanov, Rossen I. 9 Klein, Christian 9 Rauch, Jeffrey B. 9 Sainte-Marie, Jacques 9 Wu, Xinglong 8 Carles, Rémi 8 Cordoba, Diego 8 Erbay, Saadet 8 Erkip, Albert Kohen 8 Granero Belinchón, Rafael 8 Guan, Chunxia 8 Hu, Qiaoyi 8 Ionescu, Alexandru D. 8 Li, Jinlu 8 Linares, Felipe 8 Masmoudi, Nader 8 Pu, Xueke 8 Ricchiuto, Mario 8 Tian, Lixin 7 Coutand, Daniel 7 Dinvay, Evgueni 7 Erbay, Husnuata A. 7 Gavrilyuk, Sergey L. 7 Gerbi, Stéphane 7 Guo, Yunxi 7 Guyenne, Philippe 7 Ifrim, Mihaela 7 Li, Yongsheng 7 Lteif, Ralph 7 Luo, Ting 7 Luo, Wei 7 Marche, Fabien 7 Pilod, Didier 7 Rousset, Frédéric 7 Shkoller, Steve 7 Sulem, Catherine 7 Tataru, Daniel 7 Wu, Yonghong 7 Xu, Li 6 Antonopoulos, Dimitrios C. 6 Bonneton, Philippe 6 Bristeau, Marie-Odile 6 Colin, Thierry 6 Craig, Walter 6 Disconzi, Marcelo Mendes 6 Duran, Angel 6 Ehrnström, Mats 6 Escher, Joachim 6 Fefferman, Charles Louis 6 Godlewski, Edwige 6 Guo, Zhengguang 6 Ionescu-Kruse, Delia 6 Kukavica, Igor 6 Mantzavinos, Dionyssios 6 Novruzov, Emil B. 6 Pelinovsky, Dmitry Efimovich 6 Petronilho, Gerson 6 Pusateri, Fabio 6 Scrobogna, Stefano 6 Song, Yongduan 6 Talhouk, Raafat 6 Wang, Yujuan ...and 998 more Authors
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### Cited in 194 Serials

 97 Journal of Differential Equations 57 Discrete and Continuous Dynamical Systems 46 Archive for Rational Mechanics and Analysis 46 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Applicable Analysis 32 Journal of Mathematical Analysis and Applications 30 SIAM Journal on Mathematical Analysis 28 Journal of Mathematical Physics 26 Journal of Computational Physics 26 Monatshefte für Mathematik 25 Communications in Mathematical Physics 24 Journal of Nonlinear Science 24 European Journal of Mechanics. B. Fluids 23 Nonlinear Analysis. Real World Applications 22 Journal of Fluid Mechanics 22 Physica D 21 Nonlinearity 20 Communications in Partial Differential Equations 20 Journal of Mathematical Fluid Mechanics 19 Wave Motion 19 Journal of Nonlinear Mathematical Physics 16 Journal of Functional Analysis 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Water Waves 15 Communications on Pure and Applied Analysis 14 Quarterly of Applied Mathematics 13 Abstract and Applied Analysis 12 Studies in Applied Mathematics 11 Journal of Scientific Computing 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Boundary Value Problems 10 Advances in Mathematics 9 Applied Mathematics and Computation 9 Inventiones Mathematicae 9 Applied Mathematics Letters 9 Journal of Hyperbolic Differential Equations 9 Discrete and Continuous Dynamical Systems. Series S 7 Communications on Pure and Applied Mathematics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Mathematics and Computers in Simulation 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Applied Mathematical Modelling 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Evolution Equations 6 Computers and Fluids 6 Mathematical Methods in the Applied Sciences 6 Proceedings of the American Mathematical Society 6 Asymptotic Analysis 6 Discrete and Continuous Dynamical Systems. Series B 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Advances in Mathematical Physics 6 Analysis and Mathematical Physics 5 Theoretical and Mathematical Physics 5 Mathematics of Computation 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Computational and Applied Mathematics 5 Memoirs of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 Transactions of the American Mathematical Society 5 Applied Numerical Mathematics 5 Journal of Dynamics and Differential Equations 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Science China. Mathematics 5 Annals of PDE 4 Physics Letters. A 4 Applied Mathematics and Optimization 4 Mathematische Zeitschrift 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Calculus of Variations and Partial Differential Equations 4 Mathematical Problems in Engineering 4 Mathematical Physics, Analysis and Geometry 4 Annals of Mathematics. Second Series 4 Communications in Computational Physics 4 Séminaire Laurent Schwartz. EDP et Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Engineering Mathematics 3 Reviews in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Mathematische Annalen 3 Numerische Mathematik 3 NoDEA. Nonlinear Differential Equations and Applications 3 The Journal of Fourier Analysis and Applications 3 Journal of Inequalities and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Letters in Mathematical Physics 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Mathematische Nachrichten 2 Siberian Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Journal of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Physics of Fluids ...and 94 more Serials
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### Cited in 36 Fields

 1,073 Partial differential equations (35-XX) 610 Fluid mechanics (76-XX) 155 Dynamical systems and ergodic theory (37-XX) 111 Numerical analysis (65-XX) 61 Geophysics (86-XX) 38 Mechanics of deformable solids (74-XX) 25 Ordinary differential equations (34-XX) 24 Optics, electromagnetic theory (78-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Operator theory (47-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Quantum theory (81-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Systems theory; control (93-XX) 9 Mechanics of particles and systems (70-XX) 8 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 5 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Differential geometry (53-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral transforms, operational calculus (44-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)