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Author ID: saut.jean-claude Recent zbMATH articles by "Saut, Jean-Claude"
Published as: Saut, Jean-Claude; Saut, J. C.; Saut, J.-C.; Saut, Jean Claude
External Links: MGP · ResearchGate · dblp
all top 5

Co-Authors

29 single-authored
13 Foiaș, Ciprian
12 Tzvetkov, Nikolay
11 Klein, Christian
10 Bethuel, Fabrice
10 Bona, Jerry Lloyd
10 de Bouard, Anne
10 Linares, Felipe
8 Gravejat, Philippe
8 Pilod, Didier
8 Temam, Roger Meyer
7 Ghidaglia, Jean-Michel
7 Molinet, Luc
6 Hayashi, Nakao
6 Lannes, David
6 Scheurer, Bruno
6 Xu, Li
5 Guillopé, Colette
5 Joseph, Daniel D.
5 Ponce, Gustavo
5 Wang, Yuexun
4 Constantin, Peter
4 Smets, Didier
3 Ben-Artzi, Matania
3 Dougalis, Vassilios A.
3 Koch, Herbert
3 Mitsotakis, Dimitrios E.
2 Chen, Min
2 Danchin, Raphaël
2 Guyenne, Philippe
2 Hoang, Luan Thach
2 Luong, Hung
2 Naumkin, Pavel Ivanovich
2 Segata, Jun-ichi
2 Sulem, Catherine
1 Abdelouhab, Laziz
1 Albert, John P.
1 Angulo Pava, Jaime
1 Bardos, Claude Williams
1 Becker, Robert A.
1 Bercovici, Hari
1 Biswas, Animikh
1 Brandenberger, Robert H.
1 Carles, Rémi
1 Cheskidov, Alexey
1 Demay, Yves
1 Desjardins, Benoît
1 Di Menza, Laurent
1 Dias, Frédéric
1 Eden, Alp
1 Farina, Alberto
1 Felland, M.
1 Frazho, Art
1 Ifrim, Mihaela
1 Jolly, Michael Summerfield
1 Jouron, Claude
1 Kukavica, Igor
1 Kuksin, Sergeĭ B.
1 Liao, T. Y. J.
1 Mauser, Norbert Julius
1 Meurant, Gérard A.
1 Miller, Peter D.
1 Ming, Mei
1 Moşincat, Răzvan O.
1 Muñoz, Claudio
1 Obrecht, Caroline
1 Pastor, Ademir
1 Pearcy, Carl Mark Jr.
1 Perry, Peter A.
1 Renardy, Michael
1 Rosa, Ricardo M. S.
1 Selberg, Sigmund
1 Sparber, Christof
1 Stoilov, Nikola M.
1 Sun, Shihan
1 Tannenbaum, Allen Robert
1 Tesfahun, Achenef
1 Titi, Edriss Saleh
1 Tom, Michael Mudi
1 Voiculescu, Dan-Virgil
1 Wang, Chao
1 Wang, Chuntian
1 Wayne, Clarence Eugene
1 Zhang, Ping
all top 5

Serials

12 SIAM Journal on Mathematical Analysis
10 Comptes Rendus de l’Académie des Sciences. Série I
9 Nonlinearity
7 Indiana University Mathematics Journal
7 Communications in Partial Differential Equations
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Communications in Mathematical Physics
6 Journal of Differential Equations
6 Discrete and Continuous Dynamical Systems
4 Differential and Integral Equations
4 Journal of Nonlinear Science
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Physica D
3 Séminaire Équations aux Dérivées Partielles
3 Communications on Pure and Applied Analysis
2 Archive for Rational Mechanics and Analysis
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Mathematische Annalen
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Notices of the American Mathematical Society
2 Advances in Differential Equations
2 Contemporary Mathematics
1 Israel Journal of Mathematics
1 Theoretical and Computational Fluid Dynamics
1 Duke Mathematical Journal
1 Gazette des Mathématiciens
1 Journal of Functional Analysis
1 Portugaliae Mathematica
1 Quarterly of Applied Mathematics
1 Studies in Applied Mathematics
1 Bulletin of the Greek Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
1 European Journal of Mechanics. B. Fluids
1 IMRN. International Mathematics Research Notices
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Mathematical Fluid Mechanics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Physical Review Letters
1 AMRX. Applied Mathematics Research eXpress
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Dynamics of Partial Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Applied Mathematical Sciences
1 Fields Institute Communications
1 Travaux en Cours
1 Kinetic and Related Models
1 Journal of Applied Analysis and Computation
1 Nonlinear Analysis. Theory, Methods & Applications
1 Water Waves
1 European Mathematical Society Magazine

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 4,337 times in 2,587 Documents Cited by Year
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
229
2002
Local smoothing properties of dispersive equations. Zbl 0667.35061
Constantin, P.; Saut, J. C.
192
1988
Unique continuation for some evolution equations. Zbl 0631.35044
Saut, Jean-Claude; Scheurer, Bruno
174
1987
Existence results for the flow of viscoelastic fluids with a differential constitutive law. Zbl 0729.76006
Guillopé, C.; Saut, J. C.
164
1990
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
150
1997
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
145
2004
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
129
1989
Sur quelques généralisations de l’équation de Korteweg-de Vries. Zbl 0449.35083
Saut, J. C.
120
1979
Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
110
2000
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
109
2001
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
103
1990
Remarks on the Korteweg-de Vries equation. Zbl 0334.35062
Saut, J. C.; Temam, R.
82
1976
Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. Zbl 0701.76011
Guillopé, C.; Saut, J.-C.
80
1990
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
78
2013
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
77
1997
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
71
2008
Generic properties of nonlinear boundary value problems. Zbl 0462.35016
Saut, J. C.; Temam, R.
67
1979
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
62
2009
Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrödinger equation. Zbl 0822.35125
Bergé, L.; de Bouard, A.; Saut, J. C.
59
1995
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
59
2002
Dispersive perturbations of Burgers and hyperbolic equations. I: Local theory. Zbl 1294.35124
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
59
2014
Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177
Bethuel, Fabrice; Saut, Jean-Claude
54
1999
Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101
Bona, J. L.; Saut, J.-C.
53
1993
Remarks on the generalized Kadomtsev-Petviashvili equations. Zbl 0814.35119
Saut, Jean-Claude
52
1993
Asymptotic behavior, as \(t\to +\infty\) of solutions of Navier-Stokes equations and nonlinear spectral manifolds. Zbl 0565.35087
Foiaş, Ciprian; Saut, J. C.
50
1984
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090
de Bouard, Anne; Saut, Jean-Claude
49
1997
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
48
2012
Well-posedness for the ZK equation in a cylinder and on the background of a KdV soliton. Zbl 1198.35228
Linares, Felipe; Pastor, Ademir; Saut, Jean-Claude
48
2010
Hyperbolicity and change of type in the flow of viscoelastic fluids. Zbl 0572.76011
Joseph, Daniel D.; Renardy, Michael; Saut, Jean-Claude
43
1985
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation. Zbl 1364.35047
Klein, Christian; Saut, Jean-Claude
43
2015
Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
41
2009
On Whitham and related equations. Zbl 1393.35208
Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
39
2018
Model equations for waves in stratified fluids. Zbl 0886.35111
Albert, J. P.; Bona, J. L.; Saut, J.-C.
37
1997
The Cauchy problem on large time for surface waves Boussinesq systems. Zbl 1245.35090
Saut, Jean-Claude; Xu, Li
35
2012
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
35
2012
Short-wave instabilities and ill-posed initial value problems. Zbl 0707.76038
Joseph, Daniel D.; Saut, Jean Claude
34
1990
A model system for strong interaction between internal solitary waves. Zbl 0752.35056
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M.
33
1992
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
33
2002
Local smoothing properties of Schrödinger equations. Zbl 0712.35022
Constantin, Peter; Saut, Jean-Claude
33
1989
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
32
2014
Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
31
2008
Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079
Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay
31
2011
Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
28
2008
An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253
Saut, Jean-Claude; Temam, Roger
27
2010
Uniform decay estimates for a class of oscillatory integrals and applications. Zbl 1016.35006
Ben-Artzi, M.; Saut, J.-C.
26
1999
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
26
2007
The Cauchy problem on large time for surface-waves-type Boussinesq systems. II. Zbl 1412.35266
Saut, Jean-Claude; Wang, Chao; Xu, Li
25
2017
Remarks on a nonlinear equation arising in population genetics. Zbl 0421.35072
Saut, J. C.; Scheurer, B.
24
1978
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
24
1999
Linearization and normal form of the Navier-Stokes equations with potential forces. Zbl 0635.35075
Foias, C.; Saut, J. C.
24
1987
An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain. Zbl 1278.35221
Saut, Jean-Claude; Temam, Roger; Wang, Chuntian
24
2012
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
23
2000
Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120
Hayashi, Nakao; Saut, Jean-Claude
22
1995
Remarks on the orbital stability of ground state solutions of fKdV and related equations. Zbl 1325.35195
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
22
2015
Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065
Molinet, L.; Saut, J. C.; Tzvetkov, N.
22
2007
IST versus PDE: a comparative study. Zbl 1331.35306
Klein, Christian; Saut, Jean-Claude
22
2015
Fading memory. Zbl 0543.73005
Saut, J. C.; Joseph, D. D.
21
1983
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
20
2006
Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095
de Bouard, A.; Saut, J. C.
20
1996
Nonelliptic Schrödinger equations. Zbl 0808.35135
Ghidaglia, Jean-Michel; Saut, Jean-Claude
20
1993
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
Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
20
2003
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
19
2004
Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096
Ponce, Gustavo; Saut, Jean-Claude
19
2005
Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066
Foias, C.; Saut, J. C.
19
1991
Solitons in quadratic media. Zbl 1342.35325
Colin, M.; Di Menza, L.; Saut, J. C.
19
2016
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
19
2013
Well-posedness of strongly dispersive two-dimensional surface wave Boussinesq systems. Zbl 1259.35186
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
19
2012
Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE. Zbl 1442.35355
Saut, Jean-Claude
19
2019
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. II. Zbl 1213.35367
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
18
2010
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. Zbl 1420.35320
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
17
2018
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. I. Zbl 1183.35240
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
16
2009
Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123
Ghidaglia, J. M.; Saut, J. C.
16
1996
On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
15
2008
Mathematical problems arising in differential models for viscoelastic fluids. Zbl 0794.76007
Guillopé, C.; Saut, J. C.
15
1993
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
15
2001
Change of type and loss of evolution in the flow of viscoelastic fluids. Zbl 0626.76009
Joseph, D. D.; Saut, J. C.
15
1986
Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168
Ming, Mei; Saut, Jean Claude; Zhang, Ping
15
2012
On some Boussinesq systems in two space dimensions: Theory and numerical analysis. Zbl 1140.76314
Dougalis, Vassilios A.; Mitsotakis, Dimitrios E.; Saut, Jean-Claude
15
2007
Generic properties of Navier-Stokes equations: Genericity with respect to the boundary values. Zbl 0445.76023
Saut, J. C.; Temam, R.
14
1980
Recent results on the generalized Kadomtsev-Petviashvili equations. Zbl 0839.35121
Saut, Jean-Claude
14
1995
Quelques généralisations de l’équation de Korteweg-de Vries. II. Zbl 0435.35067
Saut, J. C.
13
1979
On the smoothness of the nonlinear spectral manifolds associated to the Navier-Stokes equations. Zbl 0572.35081
Foiaş, Ciprian; Saut, J. C.
13
1984
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
13
2004
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
13
2021
Sur l’unicité du problème de Cauchy et le prolongement unique pour des équations elliptiques à coefficients non localement bornes. Zbl 0431.35017
Saut, J. C.; Scheurer, B.
12
1982
On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain. Zbl 1155.35431
Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C.
11
2009
Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132
Bona, Jerry L.; Saut, Jean-Claude
11
2010
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
10
2000
Boussinesq systems of Bona-Smith type on plane domains: theory and numerical analysis. Zbl 1203.65179
Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C.
10
2010
Asymptotic integration of Navier-Stokes equations with potential forces. II: An explicit Poincaré-Dulac normal form. Zbl 1232.35115
Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude
10
2011
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147
de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
9
1999
Remarques sur les équations de Navier-Stokes stationnaires. Zbl 0546.35058
Foiaş, Ciprian; Saut, J. C.
9
1983
Lectures on the mathematical theory of viscoelastic fluids. Zbl 1348.35200
Saut, J.-C.
9
2013
Résultats d’existence pour des fluides viscoélastiques à loi de comportement de type différentiel. (Existence results for viscoelastic fluids with a differential constitutive law). Zbl 0624.76008
Guillopé, Colette; Saut, Jean-Claude
9
1987
The wave breaking for Whitham-type equations revisited. Zbl 1486.76015
Saut, Jean-Claude; Wang, Yuexun
9
2022
Well-posedness on large time for a modified full dispersion system of surface waves. Zbl 1426.76076
Saut, Jean-Claude; Xu, Li
9
2012
On the solitary-waves of Kadomtsev-Petviashvili equations. (Sur les ondes solitaires des équations de Kadomtsev-Petviashvili.) Zbl 0833.35028
de Bouard, Anne; Saut, Jean-Claude
8
1995
A numerical approach to Blow-up issues for Davey-Stewartson II systems. Zbl 1322.35128
Klein, Christian; Saut, Jean-Claude
8
2015
Asymptotic behavior, as \(t \to \infty\), of solutions of the Navier-Stokes equations. Zbl 0528.35077
Foiaş, Ciprian; Saut, J. C.
8
1983
Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations. Zbl 1514.35093
Klein, Christian; Saut, Jean-Claude; Stoilov, Nikola
1
2023
Book review of: R. Carles, Semi-classical analysis for nonlinear Schrödinger equations. WKB analysis, focal points, coherent states. Zbl 1509.00009
Saut, Jean-Claude
1
2023
The wave breaking for Whitham-type equations revisited. Zbl 1486.76015
Saut, Jean-Claude; Wang, Yuexun
9
2022
On the modified fractional Korteweg-de Vries and related equations. Zbl 1525.76021
Klein, Christian; Saut, Jean-Claude; Wang, Yuexun
4
2022
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
13
2021
Dispersive estimates for full dispersion KP equations. Zbl 1458.35083
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef
6
2021
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. Zbl 1501.35293
Desjardins, Benoît; Lannes, David; Saut, Jean-Claude
6
2021
On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
5
2021
Nonlinear dispersive equations. Inverse scattering and PDE methods. Zbl 1506.35002
Klein, Christian; Saut, Jean-Claude
5
2021
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations. Zbl 1490.76046
Saut, Jean-Claude; Wang, Yuexun
5
2021
Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\). Zbl 1467.35261
Mosincat, Razvan; Pilod, Didier; Saut, Jean-Claude
3
2021
Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 1496.35325
Saut, Jean-Claude; Xu, Li
2
2021
Existence of solitary wave solutions for internal waves in two-layer systems. Zbl 1425.35160
Pava, Jaime Angulo; Saut, Jean-Claude
7
2020
Long time existence for a strongly dispersive Boussinesq system. Zbl 1447.35114
Saut, Jean-Claude; Xu, Li
7
2020
Long time existence for the Boussinesq-Full dispersion systems. Zbl 1434.35118
Saut, Jean-Claude; Xu, Li
6
2020
Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions. Zbl 1436.35294
Saut, Jean-Claude; Segata, Jun-ichi
2
2020
Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE. Zbl 1442.35355
Saut, Jean-Claude
19
2019
Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. Zbl 1406.35369
Saut, Jean-Claude; Segata, Jun-Ichi
7
2019
Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. Zbl 1432.35004
2
2019
On Whitham and related equations. Zbl 1393.35208
Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
39
2018
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. Zbl 1420.35320
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
17
2018
On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system. Zbl 1397.35218
Luong, Hung; Mauser, Norbert J.; Saut, Jean-Claude
6
2018
Navier and Stokes meet Poincaré and Dulac. Zbl 1457.35024
Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude
5
2018
The Cauchy problem on large time for surface-waves-type Boussinesq systems. II. Zbl 1412.35266
Saut, Jean-Claude; Wang, Chao; Xu, Li
25
2017
Solitons in quadratic media. Zbl 1342.35325
Colin, M.; Di Menza, L.; Saut, J. C.
19
2016
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation. Zbl 1364.35047
Klein, Christian; Saut, Jean-Claude
43
2015
Remarks on the orbital stability of ground state solutions of fKdV and related equations. Zbl 1325.35195
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
22
2015
IST versus PDE: a comparative study. Zbl 1331.35306
Klein, Christian; Saut, Jean-Claude
22
2015
A numerical approach to Blow-up issues for Davey-Stewartson II systems. Zbl 1322.35128
Klein, Christian; Saut, Jean-Claude
8
2015
Remarks on the full dispersion Davey-Stewartson systems. Zbl 1318.35085
Obrecht, Caroline; Saut, Jean-Claude
7
2015
Dispersive perturbations of Burgers and hyperbolic equations. I: Local theory. Zbl 1294.35124
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
59
2014
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
32
2014
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
78
2013
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
19
2013
Lectures on the mathematical theory of viscoelastic fluids. Zbl 1348.35200
Saut, J.-C.
9
2013
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
48
2012
The Cauchy problem on large time for surface waves Boussinesq systems. Zbl 1245.35090
Saut, Jean-Claude; Xu, Li
35
2012
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
35
2012
An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain. Zbl 1278.35221
Saut, Jean-Claude; Temam, Roger; Wang, Chuntian
24
2012
Well-posedness of strongly dispersive two-dimensional surface wave Boussinesq systems. Zbl 1259.35186
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
19
2012
Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168
Ming, Mei; Saut, Jean Claude; Zhang, Ping
15
2012
Well-posedness on large time for a modified full dispersion system of surface waves. Zbl 1426.76076
Saut, Jean-Claude; Xu, Li
9
2012
Lectures on asymptotic models for internal waves. Zbl 1291.35232
Saut, Jean-Claude
4
2012
Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079
Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay
31
2011
Asymptotic integration of Navier-Stokes equations with potential forces. II: An explicit Poincaré-Dulac normal form. Zbl 1232.35115
Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude
10
2011
Well-posedness for the ZK equation in a cylinder and on the background of a KdV soliton. Zbl 1198.35228
Linares, Felipe; Pastor, Ademir; Saut, Jean-Claude
48
2010
An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253
Saut, Jean-Claude; Temam, Roger
27
2010
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
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. II. Zbl 1213.35367
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
18
2010
Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132
Bona, Jerry L.; Saut, Jean-Claude
11
2010
Boussinesq systems of Bona-Smith type on plane domains: theory and numerical analysis. Zbl 1203.65179
Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C.
10
2010
The Euler equation, the wave equation and the Korteweg-de Vries equation as asymptotic limits of the Gross-Pitaevskii equation. (Les équations d’Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l’équation de Gross-Pitaevskii.) Zbl 1208.35125
Béthuel, Fabrice; Danchin, Raphaël; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
3
2010
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
62
2009
Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
41
2009
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. I. Zbl 1183.35240
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
16
2009
On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain. Zbl 1155.35431
Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C.
11
2009
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
71
2008
Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
31
2008
Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
28
2008
On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
15
2008
Stationary and time dependent Gross-Pitaevskii equations. Wolfgang Pauli Institute 2006 thematic program, January–December, 2006, Vienna, Austria. Zbl 1149.35002
4
2008
Travelling waves in the Gross-Pitaevski equation. (Ondes progressives pour l’équation de Gross-Pitaevskii.) Zbl 1176.35154
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2
2008
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
26
2007
Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065
Molinet, L.; Saut, J. C.; Tzvetkov, N.
22
2007
On some Boussinesq systems in two space dimensions: Theory and numerical analysis. Zbl 1140.76314
Dougalis, Vassilios A.; Mitsotakis, Dimitrios E.; Saut, Jean-Claude
15
2007
Local smoothing and local solvability for third order dispersive equations. Zbl 1125.35075
Koch, Herbert; Saut, Jean-Claude
5
2007
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
20
2006
Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096
Ponce, Gustavo; Saut, Jean-Claude
19
2005
On a degenerate Zakharov system. Zbl 1070.35087
Linares, F.; Ponce, G.; Saut, J.-C.
5
2005
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
145
2004
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
19
2004
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
13
2004
Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
20
2003
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
229
2002
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
59
2002
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
33
2002
Vortices and sound waves for the Gross-Pitaevskii equation. Zbl 1271.82030
Bethuel, F.; Saut, J. C.
5
2002
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
109
2001
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
15
2001
Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
110
2000
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
23
2000
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
10
2000
Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177
Bethuel, Fabrice; Saut, Jean-Claude
54
1999
Uniform decay estimates for a class of oscillatory integrals and applications. Zbl 1016.35006
Ben-Artzi, M.; Saut, J.-C.
26
1999
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
24
1999
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147
de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
9
1999
Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation. Zbl 0936.35158
Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
7
1999
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
150
1997
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
77
1997
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090
de Bouard, Anne; Saut, Jean-Claude
49
1997
Model equations for waves in stratified fluids. Zbl 0886.35111
Albert, J. P.; Bona, J. L.; Saut, J.-C.
37
1997
Langmuir solitary waves in a weakly magnetized plasma. Zbl 0890.35142
de Bouard, A.; Saut, J. C.
1
1997
Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095
de Bouard, A.; Saut, J. C.
20
1996
Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123
Ghidaglia, J. M.; Saut, J. C.
16
1996
Mathematical problems in the theory of water waves. A workshop on the problems in the theory of nonlinear hydrodynamic waves, May 15–19, 1995, Luminy, France. Zbl 0852.00046
2
1996
Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrödinger equation. Zbl 0822.35125
Bergé, L.; de Bouard, A.; Saut, J. C.
59
1995
Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120
Hayashi, Nakao; Saut, Jean-Claude
22
1995
Recent results on the generalized Kadomtsev-Petviashvili equations. Zbl 0839.35121
Saut, Jean-Claude
14
1995
On the solitary-waves of Kadomtsev-Petviashvili equations. (Sur les ondes solitaires des équations de Kadomtsev-Petviashvili.) Zbl 0833.35028
de Bouard, Anne; Saut, Jean-Claude
8
1995
Collapse of Chern-Simons-gauged matter fields. Zbl 1020.81698
Bergé, L.; de Bouard, A.; Saut, J.-C.
6
1995
...and 51 more Documents
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Cited by 2,476 Authors

65 Saut, Jean-Claude
39 Ponce, Gustavo
38 Linares, Felipe
32 Bona, Jerry Lloyd
31 Naumkin, Pavel Ivanovich
30 Kenig, Carlos Eduardo
29 Hayashi, Nakao
27 Klein, Christian
24 Pazoto, Ademir Fernando
23 Pastor, Ademir
23 Vega, Luis
22 Mitsotakis, Dimitrios E.
22 Zhang, Bingyu
20 Esfahani, Amin
20 Lar’kin, Nikolaj Andreevich
20 Molinet, Luc
19 Kalisch, Henrik
19 Liu, Yue
19 Tzvetkov, Nikolay
18 Faminskii, Andrei V.
17 Dutykh, Denys
17 Himonas, A. Alexandrou
16 Dougalis, Vassilios A.
16 Guo, Boling
16 Wang, Baoxiang
15 Panthee, Mahendra
15 Pilod, Didier
14 Carvajal, Xavier Paredes
14 Deng, Yinbin
14 Duran, Angel
14 Hoang, Luan Thach
14 Muñoz, Claudio
14 Pelinovsky, Dmitry Efimovich
14 Tataru, Daniel
13 Foiaș, Ciprian
13 Isaza, Pedro
13 Ozawa, Tohru
13 Tang, Xianhua
13 Yamamoto, Masahiro
12 Dancer, Edward Norman
12 Gravejat, Philippe
12 Lannes, David
12 Mejía, Jorge
11 Capistrano-Filho, Roberto de A.
11 de Laire, André
11 Stoilov, Nikola M.
11 Zi, Ruizhao
10 Alazard, Thomas
10 Capistrano-Filho, Roberto A.
10 Carles, Rémi
10 Chen, Jianhua
10 Chen, Min
10 Dinh, Van Duong
10 Ehrnström, Mats
10 Guo, Yuxia
10 Huh, Hyungjin
10 Mammeri, Youcef
10 Natali, Fábio M. Amorin
10 Pistoia, Angela
10 Pu, Xueke
10 Rosier, Lionel
10 Schippa, Robert
10 Smets, Didier
10 Sulem, Catherine
10 Wang, Yuexun
9 Bethuel, Fabrice
9 Bustamante, Eddye
9 Herr, Sebastian
9 Israwi, Samer
9 Li, Yongsheng
9 Marcati, Pierangelo
9 Tang, Zhongwei
9 Wei, Juncheng
9 Yao, Zhengan
8 Antonelli, Paolo
8 Chen, Jianqing
8 Chen, Yuhui
8 Cheng, Bitao
8 Constantin, Peter
8 Dinvay, Evgueni
8 Duchêne, Vincent
8 Escauriaza Zubiria, Luis
8 Gallego, Fernando Andrés
8 Guo, Zihua
8 Guyenne, Philippe
8 Ionescu, Alexandru D.
8 Johansson, B. Tomas
8 Joseph, Daniel D.
8 Kian, Yavar
8 Koch, Herbert
8 Kukavica, Igor
8 Liu, Jiaquan
8 Masmoudi, Nader
8 Mendez, Argenis J.
8 Roudenko, Svetlana
8 Sugimoto, Mitsuru
8 Sun, Shuming
8 Tang, Chun-Lei
8 Tesfahun, Achenef
8 Varlamov, Vladimir V.
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Cited in 339 Serials

186 Journal of Differential Equations
105 Journal of Mathematical Analysis and Applications
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58 Journal of Mathematical Physics
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7 Chinese Annals of Mathematics. Series B
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7 Annales de l’Institut Henri Poincaré. Physique Théorique
7 Abstract and Applied Analysis
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7 Séminaire Laurent Schwartz. EDP et Applications
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6 Inventiones Mathematicae
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5 International Journal of Engineering Science
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