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Author ID: lannes.david Recent zbMATH articles by "Lannes, David"
Published as: Lannes, David; Lannes, D.

Publications by Year

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
Constantin, Adrian; Lannes, David
544
2009
The water waves problem. Mathematical analysis and asymptotics. Zbl 1410.35003
Lannes, David
201
2013
Well-posedness of the water-waves equations. Zbl 1069.35056
Lannes, David
188
2005
Large time existence for 3D water waves and asymptotics. Zbl 1131.76012
Alvarez-Samaniego, Borys; Lannes, David
134
2008
Long wave approximations for water waves. Zbl 1108.76012
Bona, Jerry L.; Colin, Thierry; Lannes, David
106
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.
71
2011
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation. Zbl 1183.76294
Lannes, David; Bonneton, Philippe
64
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
60
2013
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
59
2008
A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. Zbl 1351.76114
Lannes, D.; Marche, F.
42
2015
Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model. Zbl 1419.76454
Chazel, F.; Lannes, D.; Marche, F.
41
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
38
2008
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators. Zbl 1099.35191
Lannes, David
37
2006
A stability criterion for two-fluid interfaces and applications. Zbl 1278.35194
Lannes, David
34
2013
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David
33
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.
33
2011
Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166
Guyenne, Philippe; Lannes, David; Saut, Jean-Claude
20
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
19
2015
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
17
2013
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
17
2006
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
15
2017
Dispersive effects for nonlinear geometrical optics with rectification. Zbl 0931.35091
Lannes, David
15
1998
The long wave limit for a general class of 2D quasilinear hyperbolic problems. Zbl 1072.35572
Ben Youssef, Walid; Lannes, David
14
2002
Long-wave short-wave resonance for nonlinear geometric optics. Zbl 1034.35133
Colin, Thierry; Lannes, David
13
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
12
2003
Secular growth estimates for hyperbolic systems. Zbl 1052.35119
Lannes, David
11
2003
Short pulses approximations in dispersive media. Zbl 1200.35182
Colin, Mathieu; Lannes, David
10
2009
Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems. Zbl 1062.35126
Colin, T.; Lannes, D.
10
2004
Mathematics for \(2d\) interfaces. Zbl 1291.35208
Bardos, Claude; Lannes, David
9
2012
Modeling shallow water waves. Zbl 1442.35462
Lannes, D.
8
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
6
2018
Consistency of the KP approximation. Zbl 1066.35017
Lannes, David
6
2003
Nonlinear wave-current interactions in shallow water. Zbl 1341.35119
Lannes, David; Marche, Fabien
6
2016
Recovering water wave elevation from pressure measurements. Zbl 1419.86005
Bonneton, P.; Lannes, D.
5
2017
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
5
2001
Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069
Craig, Walter; Lannes, David; Sulem, Catherine
5
2012
The Kelvin-Helmholtz instabilities in two-fluids shallow water models. Zbl 1331.35281
Lannes, David; Ming, Mei
5
2015
Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum. Zbl 1034.35136
Lannes, David
4
2001
Hyperbolic free boundary problems and applications to wave-structure interactions. Zbl 1467.35360
Iguchi, Tatsuo; Lannes, David
3
2021
High-frequency nonlinear optics: from the nonlinear Schrödinger approximation to ultrashot-pulses equations. Zbl 1219.35283
Lannes, David
3
2011
Long wave approximations for water waves. Zbl 1050.76006
Bona, Jerry; Colin, Thierry; Lannes, David
3
2003
Space time resonances [after Germain, Masmoudi, Shatah]. Zbl 1304.35006
Lannes, David
2
2013
Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Zbl 1371.76002
2
2017
A numerical study of the long-wave short-wave resonance for 3D water waves. Zbl 0984.76059
Besse, Christophe; Lannes, David
2
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
1
2004
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. Zbl 07451745
Desjardins, Benoît; Lannes, David; Saut, Jean-Claude
1
2021
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
1
2003
Generating boundary conditions for a Boussinesq system. Zbl 1454.65092
Lannes, David; Weynans, L.
1
2020
Hyperbolic free boundary problems and applications to wave-structure interactions. Zbl 1467.35360
Iguchi, Tatsuo; Lannes, David
3
2021
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. Zbl 07451745
Desjardins, Benoît; Lannes, David; Saut, Jean-Claude
1
2021
Modeling shallow water waves. Zbl 1442.35462
Lannes, D.
8
2020
Generating boundary conditions for a Boussinesq system. Zbl 1454.65092
Lannes, David; Weynans, L.
1
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
6
2018
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
15
2017
Recovering water wave elevation from pressure measurements. Zbl 1419.86005
Bonneton, P.; Lannes, D.
5
2017
Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Zbl 1371.76002
2
2017
Nonlinear wave-current interactions in shallow water. Zbl 1341.35119
Lannes, David; Marche, Fabien
6
2016
A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. Zbl 1351.76114
Lannes, D.; Marche, F.
42
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
19
2015
The Kelvin-Helmholtz instabilities in two-fluids shallow water models. Zbl 1331.35281
Lannes, David; Ming, Mei
5
2015
Fully nonlinear long-wave models in the presence of vorticity. Zbl 1446.76077
Castro, Angel; Lannes, David
33
2014
The water waves problem. Mathematical analysis and asymptotics. Zbl 1410.35003
Lannes, David
201
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
60
2013
A stability criterion for two-fluid interfaces and applications. Zbl 1278.35194
Lannes, David
34
2013
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
17
2013
Space time resonances [after Germain, Masmoudi, Shatah]. Zbl 1304.35006
Lannes, David
2
2013
Mathematics for \(2d\) interfaces. Zbl 1291.35208
Bardos, Claude; Lannes, David
9
2012
Water waves over a rough bottom in the shallow water regime. Zbl 1329.76069
Craig, Walter; Lannes, David; Sulem, Catherine
5
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.
71
2011
Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model. Zbl 1419.76454
Chazel, F.; Lannes, D.; Marche, F.
41
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.
33
2011
High-frequency nonlinear optics: from the nonlinear Schrödinger approximation to ultrashot-pulses equations. Zbl 1219.35283
Lannes, David
3
2011
Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166
Guyenne, Philippe; Lannes, David; Saut, Jean-Claude
20
2010
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
544
2009
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation. Zbl 1183.76294
Lannes, David; Bonneton, Philippe
64
2009
Short pulses approximations in dispersive media. Zbl 1200.35182
Colin, Mathieu; Lannes, David
10
2009
Large time existence for 3D water waves and asymptotics. Zbl 1131.76012
Alvarez-Samaniego, Borys; Lannes, David
134
2008
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
59
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
38
2008
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators. Zbl 1099.35191
Lannes, David
37
2006
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
17
2006
Well-posedness of the water-waves equations. Zbl 1069.35056
Lannes, David
188
2005
Long wave approximations for water waves. Zbl 1108.76012
Bona, Jerry L.; Colin, Thierry; Lannes, David
106
2005
Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems. Zbl 1062.35126
Colin, T.; Lannes, D.
10
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
1
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
12
2003
Secular growth estimates for hyperbolic systems. Zbl 1052.35119
Lannes, David
11
2003
Consistency of the KP approximation. Zbl 1066.35017
Lannes, David
6
2003
Long wave approximations for water waves. Zbl 1050.76006
Bona, Jerry; Colin, Thierry; Lannes, David
3
2003
Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation. Zbl 1026.35081
Carles, Rémi; Lannes, David
1
2003
The long wave limit for a general class of 2D quasilinear hyperbolic problems. Zbl 1072.35572
Ben Youssef, Walid; Lannes, David
14
2002
Long-wave short-wave resonance for nonlinear geometric optics. Zbl 1034.35133
Colin, Thierry; Lannes, David
13
2001
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
5
2001
Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum. Zbl 1034.35136
Lannes, David
4
2001
A numerical study of the long-wave short-wave resonance for 3D water waves. Zbl 0984.76059
Besse, Christophe; Lannes, David
2
2001
Dispersive effects for nonlinear geometrical optics with rectification. Zbl 0931.35091
Lannes, David
15
1998
all top 5

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
all top 5

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)

Citations by Year