Edit Profile (opens in new tab) Saut, Jean-Claude Compute Distance To: Compute Author ID: saut.jean-claude Published as: Saut, Jean-Claude; Saut, J. C.; Saut, J.-C.; Saut, Jean Claude more...less External Links: MGP · ResearchGate · dblp Documents Indexed: 166 Publications since 1971, including 4 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 67 Co-Authors with 144 Joint Publications 2,328 Co-Co-Authors all top 5 Co-Authors 28 single-authored 13 Foiaș, Ciprian 12 Tzvetkov, Nikolay 10 Bethuel, Fabrice 10 Bona, Jerry Lloyd 10 de Bouard, Anne 9 Linares, Felipe 8 Gravejat, Philippe 8 Temam, Roger Meyer 7 Ghidaglia, Jean-Michel 7 Klein, Christian 7 Molinet, Luc 7 Pilod, Didier 6 Hayashi, Nakao 6 Lannes, David 6 Scheurer, Bruno 6 Xu, Li 5 Guillopé, Colette 5 Joseph, Daniel D. 5 Ponce, Gustavo 4 Constantin, Peter 4 Smets, Didier 4 Wang, Yuexun 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 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 Jolly, Michael Summerfield 1 Jouron, Claude 1 Kukavica, Igor 1 Kuksin, Sergeĭ B. 1 Liao, T. Y. J. 1 Luong, Hung 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 Ricardo M. S. Rosa 1 Selberg, Sigmund 1 Sparber, Christof 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 5 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 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 Physica D 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 all top 5 Fields 160 Partial differential equations (35-XX) 80 Fluid mechanics (76-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Optics, electromagnetic theory (78-XX) 6 General and overarching topics; collections (00-XX) 6 Numerical analysis (65-XX) 5 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 1 Mathematical logic and foundations (03-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 3,715 times in 2,256 Documents Cited by ▼ Year ▼ Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044Bona, J. L.; Chen, M.; Saut, J.-C. 205 2002 Local smoothing properties of dispersive equations. Zbl 0667.35061Constantin, P.; Saut, J. C. 168 1988 Unique continuation for some evolution equations. Zbl 0631.35044Saut, Jean-Claude; Scheurer, Bruno 156 1987 Existence results for the flow of viscoelastic fluids with a differential constitutive law. Zbl 0729.76006Guillopé, C.; Saut, J. C. 144 1990 Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude 130 1997 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103Bona, J. L.; Chen, M.; Saut, J.-C. 128 2004 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 117 1989 Sur quelques généralisations de l’équation de Korteweg-de Vries. Zbl 0449.35083Saut, J. C. 106 1979 Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085Molinet, L.; Saut, J. C.; Tzvetkov, N. 99 2001 Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 96 2000 On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111Ghidaglia, Jean-Michel; Saut, Jean-Claude 88 1990 Remarks on the Korteweg-de Vries equation. Zbl 0334.35062Saut, J. C.; Temam, R. 78 1976 Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. Zbl 0701.76011Guillopé, C.; Saut, J.-C. 69 1990 Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103de Bouard, Anne; Saut, Jean-Claude 68 1997 The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation. Zbl 1273.35263Lannes, David; Linares, Felipe; Saut, Jean-Claude 60 2013 Asymptotic models for internal waves. Zbl 1138.76028Bona, J. L.; Lannes, D.; Saut, J.-C. 60 2008 Generic properties of nonlinear boundary value problems. Zbl 0462.35016Saut, J. C.; Temam, R. 59 1979 The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086Linares, F.; Saut, Jean-Claude 57 2009 Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103Molinet, L.; Saut, J.-C.; Tzvetkov, N. 52 2002 Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrödinger equation. Zbl 0822.35125Bergé, L.; de Bouard, A.; Saut, J. C. 51 1995 Remarks on the generalized Kadomtsev-Petviashvili equations. Zbl 0814.35119Saut, Jean-Claude 49 1993 Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101Bona, J. L.; Saut, J.-C. 49 1993 Asymptotic behavior, as \(t\to +\infty\) of solutions of Navier-Stokes equations and nonlinear spectral manifolds. Zbl 0565.35087Foiaş, Ciprian; Saut, J. C. 48 1984 Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090de Bouard, Anne; Saut, Jean-Claude 46 1997 Dispersive perturbations of Burgers and hyperbolic equations. I: Local theory. Zbl 1294.35124Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 46 2014 Well-posedness for the ZK equation in a cylinder and on the background of a KdV soliton. Zbl 1198.35228Linares, Felipe; Pastor, Ademir; Saut, Jean-Claude 45 2010 Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177Bethuel, Fabrice; Saut, Jean-Claude 42 1999 Hyperbolicity and change of type in the flow of viscoelastic fluids. Zbl 0572.76011Joseph, Daniel D.; Renardy, Michael; Saut, Jean-Claude 41 1985 Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude 36 2012 Short-wave instabilities and ill-posed initial value problems. Zbl 0707.76038Joseph, Daniel D.; Saut, Jean Claude 34 1990 Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 33 2009 Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150Klein, Christian; Saut, Jean-Claude 33 2012 A model system for strong interaction between internal solitary waves. Zbl 0752.35056Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M. 32 1992 Model equations for waves in stratified fluids. Zbl 0886.35111Albert, J. P.; Bona, J. L.; Saut, J.-C. 32 1997 On Whitham and related equations. Zbl 1393.35208Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 31 2018 Local smoothing properties of Schrödinger equations. Zbl 0712.35022Constantin, Peter; Saut, Jean-Claude 31 1989 A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation. Zbl 1364.35047Klein, Christian; Saut, Jean-Claude 29 2015 Global well-posedness for the KP-I equation. Zbl 1008.35060Molinet, L.; Saut, J. C.; Tzvetkov, N. 29 2002 Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay 28 2011 The Cauchy problem on large time for surface waves Boussinesq systems. Zbl 1245.35090Saut, Jean-Claude; Xu, Li 28 2012 An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253Saut, Jean-Claude; Temam, Roger 27 2010 Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C. 26 2014 Uniform decay estimates for a class of oscillatory integrals and applications. Zbl 1016.35006Ben-Artzi, M.; Saut, J.-C. 25 1999 Linearization and normal form of the Navier-Stokes equations with potential forces. Zbl 0635.35075Foias, C.; Saut, J. C. 23 1987 Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012Béthuel, Fabrice; Gravejat, Phillipe; Saut, Jean-Claude; Smets, Didier 23 2008 Remarks on a nonlinear equation arising in population genetics. Zbl 0421.35072Saut, J. C.; Scheurer, B. 22 1978 Remarks on the mass constraint for KP-type equations. Zbl 1139.35009Molinet, L.; Saut, J. C.; Tzvetkov, N. 21 2007 The Cauchy problem for the fifth order KP equations. Zbl 0961.35137Saut, J. C.; Tzvetkov, N. 21 2000 The Cauchy problem for higher-order KP equations. Zbl 0927.35098Saut, J. C.; Tzvetkov, N. 21 1999 The Cauchy problem on large time for surface-waves-type Boussinesq systems. II. Zbl 1412.35266Saut, Jean-Claude; Wang, Chao; Xu, Li 20 2017 Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166Guyenne, Philippe; Lannes, David; Saut, Jean-Claude 20 2010 Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120Hayashi, Nakao; Saut, Jean-Claude 20 1995 Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066Foias, C.; Saut, J. C. 19 1991 Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 19 2003 Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114Lannes, D.; Saut, Jean-Claude 18 2006 Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095de Bouard, A.; Saut, J. C. 18 1996 An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain. Zbl 1278.35221Saut, Jean-Claude; Temam, Roger; Wang, Chuntian 18 2012 Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266Lannes, David; Saut, Jean-Claude 18 2013 Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065Molinet, L.; Saut, J. C.; Tzvetkov, N. 18 2007 Global well-posedness for the KP-BBM equations. Zbl 1063.35140Saut, J.-C.; Tzvetkov, N. 17 2004 Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096Ponce, Gustavo; Saut, Jean-Claude 17 2005 Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 17 2008 Remarks on the orbital stability of ground state solutions of fKdV and related equations. Zbl 1325.35195Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 17 2015 Nonelliptic Schrödinger equations. Zbl 0808.35135Ghidaglia, Jean-Michel; Saut, Jean-Claude 16 1993 Fading memory. Zbl 0543.73005Saut, J. C.; Joseph, D. D. 16 1983 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. II. Zbl 1213.35367Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 16 2010 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. I. Zbl 1183.35240Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 15 2009 On periodic KP-I type equations. Zbl 0984.35143Saut, J.-C.; Tzvetkov, N. 15 2001 IST versus PDE: a comparative study. Zbl 1331.35306Klein, Christian; Saut, Jean-Claude 14 2015 Solitons in quadratic media. Zbl 1342.35325Colin, M.; Di Menza, L.; Saut, J. C. 14 2016 Change of type and loss of evolution in the flow of viscoelastic fluids. Zbl 0626.76009Joseph, D. D.; Saut, J. C. 14 1986 Recent results on the generalized Kadomtsev-Petviashvili equations. Zbl 0839.35121Saut, Jean-Claude 14 1995 Well-posedness of strongly dispersive two-dimensional surface wave Boussinesq systems. Zbl 1259.35186Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 14 2012 The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. Zbl 1420.35320Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 13 2018 On the smoothness of the nonlinear spectral manifolds associated to the Navier-Stokes equations. Zbl 0572.35081Foiaş, Ciprian; Saut, J. C. 13 1984 Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123Ghidaglia, J. M.; Saut, J. C. 13 1996 Generic properties of Navier-Stokes equations: Genericity with respect to the boundary values. Zbl 0445.76023Saut, J. C.; Temam, R. 12 1980 Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168Ming, Mei; Saut, Jean Claude; Zhang, Ping 12 2012 On some Boussinesq systems in two space dimensions: Theory and numerical analysis. Zbl 1140.76314Dougalis, Vassilios A.; Mitsotakis, Dimitrios E.; Saut, Jean-Claude 12 2007 On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 12 2008 Sur l’unicité du problème de Cauchy et le prolongement unique pour des équations elliptiques à coefficients non localement bornes. Zbl 0431.35017Saut, J. C.; Scheurer, B. 11 1982 Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103Molinet, L.; Saut, J. C.; Tzvetkov, N. 11 2004 Quelques généralisations de l’équation de Korteweg-de Vries. II. Zbl 0435.35067Saut, J. C. 10 1979 Mathematical problems arising in differential models for viscoelastic fluids. Zbl 0794.76007Guillopé, C.; Saut, J. C. 10 1993 Boussinesq systems of Bona-Smith type on plane domains: theory and numerical analysis. Zbl 1203.65179Dougalis, 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 1232.35115Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude 10 2011 On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain. Zbl 1155.35431Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C. 10 2009 Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE. Zbl 1442.35355Saut, Jean-Claude 10 2019 On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018Saut, Jean-Claude; Tzvetkov, Nikolay 9 2000 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 0624.76008Guillopé, Colette; Saut, Jean-Claude 8 1987 Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude 7 1999 Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132Bona, Jerry L.; Saut, Jean-Claude 7 2010 Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. Zbl 1406.35369Saut, Jean-Claude; Segata, Jun-Ichi 7 2019 Effets régularisants locaux pour des équations dispersives générales. (Local smoothing properties of general dispersive equations). Zbl 0634.35064Constantin, Peter; Saut, Jean-Claude 7 1987 Remarques sur les équations de Navier-Stokes stationnaires. Zbl 0546.35058Foiaş, Ciprian; Saut, J. C. 7 1983 Lectures on the mathematical theory of viscoelastic fluids. Zbl 1348.35200Saut, J.-C. 7 2013 Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016Saut, Jean-Claude; Wang, Yuexun 7 2021 Remarks on the full dispersion Davey-Stewartson systems. Zbl 1318.35085Obrecht, Caroline; Saut, Jean-Claude 7 2015 Existence of solitary wave solutions for internal waves in two-layer systems. Zbl 1425.35160Pava, Jaime Angulo; Saut, Jean-Claude 6 2020 Limite du rapport de l’enstrophie sur l’énergie pour une solution faible des équations de Navier-Stokes. Zbl 0492.35063Foiaş, Ciprian; Saut, Jean-Claude 6 1981 The wave breaking for Whitham-type equations revisited. Zbl 1486.76015Saut, Jean-Claude; Wang, Yuexun 3 2022 Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016Saut, Jean-Claude; Wang, Yuexun 7 2021 Dispersive estimates for full dispersion KP equations. Zbl 1458.35083Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef 3 2021 On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude 3 2021 Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\). Zbl 1467.35261Mosincat, Razvan; Pilod, Didier; Saut, Jean-Claude 1 2021 Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. Zbl 1501.35293Desjardins, Benoît; Lannes, David; Saut, Jean-Claude 1 2021 Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations. Zbl 1490.76046Saut, Jean-Claude; Wang, Yuexun 1 2021 Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 1496.35325Saut, Jean-Claude; Xu, Li 1 2021 Existence of solitary wave solutions for internal waves in two-layer systems. Zbl 1425.35160Pava, Jaime Angulo; Saut, Jean-Claude 6 2020 Long time existence for the Boussinesq-Full dispersion systems. Zbl 1434.35118Saut, Jean-Claude; Xu, Li 3 2020 Long time existence for a strongly dispersive Boussinesq system. Zbl 1447.35114Saut, Jean-Claude; Xu, Li 3 2020 Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions. Zbl 1436.35294Saut, Jean-Claude; Segata, Jun-ichi 2 2020 Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE. Zbl 1442.35355Saut, Jean-Claude 10 2019 Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. Zbl 1406.35369Saut, Jean-Claude; Segata, Jun-Ichi 7 2019 On Whitham and related equations. Zbl 1393.35208Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 31 2018 The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. Zbl 1420.35320Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 13 2018 On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system. Zbl 1397.35218Luong, Hung; Mauser, Norbert J.; Saut, Jean-Claude 5 2018 Navier and Stokes meet Poincaré and Dulac. Zbl 1457.35024Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude 1 2018 The Cauchy problem on large time for surface-waves-type Boussinesq systems. II. Zbl 1412.35266Saut, Jean-Claude; Wang, Chao; Xu, Li 20 2017 Solitons in quadratic media. Zbl 1342.35325Colin, M.; Di Menza, L.; Saut, J. C. 14 2016 A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation. Zbl 1364.35047Klein, Christian; Saut, Jean-Claude 29 2015 Remarks on the orbital stability of ground state solutions of fKdV and related equations. Zbl 1325.35195Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 17 2015 IST versus PDE: a comparative study. Zbl 1331.35306Klein, Christian; Saut, Jean-Claude 14 2015 Remarks on the full dispersion Davey-Stewartson systems. Zbl 1318.35085Obrecht, Caroline; Saut, Jean-Claude 7 2015 A numerical approach to Blow-up issues for Davey-Stewartson II systems. Zbl 1322.35128Klein, Christian; Saut, Jean-Claude 6 2015 Dispersive perturbations of Burgers and hyperbolic equations. I: Local theory. Zbl 1294.35124Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 46 2014 Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C. 26 2014 The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation. Zbl 1273.35263Lannes, David; Linares, Felipe; Saut, Jean-Claude 60 2013 Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266Lannes, David; Saut, Jean-Claude 18 2013 Lectures on the mathematical theory of viscoelastic fluids. Zbl 1348.35200Saut, J.-C. 7 2013 Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude 36 2012 Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150Klein, Christian; Saut, Jean-Claude 33 2012 The Cauchy problem on large time for surface waves Boussinesq systems. Zbl 1245.35090Saut, Jean-Claude; Xu, Li 28 2012 An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain. Zbl 1278.35221Saut, Jean-Claude; Temam, Roger; Wang, Chuntian 18 2012 Well-posedness of strongly dispersive two-dimensional surface wave Boussinesq systems. Zbl 1259.35186Linares, Felipe; Pilod, Didier; Saut, Jean-Claude 14 2012 Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168Ming, Mei; Saut, Jean Claude; Zhang, Ping 12 2012 Well-posedness on large time for a modified full dispersion system of surface waves. Zbl 1426.76076Saut, Jean-Claude; Xu, Li 6 2012 Lectures on asymptotic models for internal waves. Zbl 1291.35232Saut, Jean-Claude 4 2012 Global well-posedness for the KP-II equation on the background of a non-localized solution. Zbl 1279.35079Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay 28 2011 Asymptotic integration of Navier-Stokes equations with potential forces. II: An explicit Poincaré-Dulac normal form. Zbl 1232.35115Foias, 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 1198.35228Linares, Felipe; Pastor, Ademir; Saut, Jean-Claude 45 2010 An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253Saut, Jean-Claude; Temam, Roger 27 2010 Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166Guyenne, Philippe; Lannes, David; Saut, Jean-Claude 20 2010 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. II. Zbl 1213.35367Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 16 2010 Boussinesq systems of Bona-Smith type on plane domains: theory and numerical analysis. Zbl 1203.65179Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C. 10 2010 Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132Bona, Jerry L.; Saut, Jean-Claude 7 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 1208.35125Béthuel, Fabrice; Danchin, Raphaël; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 2 2010 The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086Linares, F.; Saut, Jean-Claude 57 2009 Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 33 2009 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. I. Zbl 1183.35240Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 15 2009 On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain. Zbl 1155.35431Dougalis, V. A.; Mitsotakis, D. E.; Saut, J.-C. 10 2009 Asymptotic models for internal waves. Zbl 1138.76028Bona, J. L.; Lannes, D.; Saut, J.-C. 60 2008 Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012Béthuel, Fabrice; Gravejat, Phillipe; Saut, Jean-Claude; Smets, Didier 23 2008 Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 17 2008 On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 12 2008 Remarks on the mass constraint for KP-type equations. Zbl 1139.35009Molinet, L.; Saut, J. C.; Tzvetkov, N. 21 2007 Global well-posedness for the KP-I equation on the background of a non-localized solution. Zbl 1160.35065Molinet, L.; Saut, J. C.; Tzvetkov, N. 18 2007 On some Boussinesq systems in two space dimensions: Theory and numerical analysis. Zbl 1140.76314Dougalis, Vassilios A.; Mitsotakis, Dimitrios E.; Saut, Jean-Claude 12 2007 Local smoothing and local solvability for third order dispersive equations. Zbl 1125.35075Koch, Herbert; Saut, Jean-Claude 3 2007 Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114Lannes, D.; Saut, Jean-Claude 18 2006 Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096Ponce, Gustavo; Saut, Jean-Claude 17 2005 On a degenerate Zakharov system. Zbl 1070.35087Linares, F.; Ponce, G.; Saut, J.-C. 4 2005 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103Bona, J. L.; Chen, M.; Saut, J.-C. 128 2004 Global well-posedness for the KP-BBM equations. Zbl 1063.35140Saut, J.-C.; Tzvetkov, N. 17 2004 Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103Molinet, L.; Saut, J. C.; Tzvetkov, N. 11 2004 Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 19 2003 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044Bona, J. L.; Chen, M.; Saut, J.-C. 205 2002 Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103Molinet, L.; Saut, J.-C.; Tzvetkov, N. 52 2002 Global well-posedness for the KP-I equation. Zbl 1008.35060Molinet, L.; Saut, J. C.; Tzvetkov, N. 29 2002 Vortices and sound waves for the Gross-Pitaevskii equation. Zbl 1271.82030Bethuel, F.; Saut, J. C. 5 2002 Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085Molinet, L.; Saut, J. C.; Tzvetkov, N. 99 2001 On periodic KP-I type equations. Zbl 0984.35143Saut, J.-C.; Tzvetkov, N. 15 2001 Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 96 2000 The Cauchy problem for the fifth order KP equations. Zbl 0961.35137Saut, J. C.; Tzvetkov, N. 21 2000 On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018Saut, Jean-Claude; Tzvetkov, Nikolay 9 2000 Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177Bethuel, Fabrice; Saut, Jean-Claude 42 1999 Uniform decay estimates for a class of oscillatory integrals and applications. Zbl 1016.35006Ben-Artzi, M.; Saut, J.-C. 25 1999 The Cauchy problem for higher-order KP equations. Zbl 0927.35098Saut, J. C.; Tzvetkov, N. 21 1999 Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude 7 1999 Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation. Zbl 0936.35158Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude 5 1999 Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude 130 1997 Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103de Bouard, Anne; Saut, Jean-Claude 68 1997 Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090de Bouard, Anne; Saut, Jean-Claude 46 1997 Model equations for waves in stratified fluids. Zbl 0886.35111Albert, J. P.; Bona, J. L.; Saut, J.-C. 32 1997 Langmuir solitary waves in a weakly magnetized plasma. Zbl 0890.35142de Bouard, A.; Saut, J. C. 1 1997 Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095de Bouard, A.; Saut, J. C. 18 1996 Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123Ghidaglia, J. M.; Saut, J. C. 13 1996 Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrödinger equation. Zbl 0822.35125Bergé, L.; de Bouard, A.; Saut, J. C. 51 1995 Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120Hayashi, Nakao; Saut, Jean-Claude 20 1995 Recent results on the generalized Kadomtsev-Petviashvili equations. Zbl 0839.35121Saut, Jean-Claude 14 1995 On the solitary-waves of Kadomtsev-Petviashvili equations. (Sur les ondes solitaires des équations de Kadomtsev-Petviashvili.) Zbl 0833.35028de Bouard, Anne; Saut, Jean-Claude 6 1995 Collapse of Chern-Simons-gauged matter fields. Zbl 1020.81698Bergé, L.; de Bouard, A.; Saut, J.-C. 3 1995 Remarks on the generalized Kadomtsev-Petviashvili equations. Zbl 0814.35119Saut, Jean-Claude 49 1993 Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101Bona, J. L.; Saut, J.-C. 49 1993 Nonelliptic Schrödinger equations. Zbl 0808.35135Ghidaglia, Jean-Michel; Saut, Jean-Claude 16 1993 Mathematical problems arising in differential models for viscoelastic fluids. Zbl 0794.76007Guillopé, C.; Saut, J. C. 10 1993 A model system for strong interaction between internal solitary waves. Zbl 0752.35056Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M. 32 1992 Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066Foias, C.; Saut, J. C. 19 1991 Existence and stability of steady flows of weakly viscoelastic fluids. Zbl 0850.76041Guillopé, Colette; Saut, Jean-Claude 5 1991 Existence results for the flow of viscoelastic fluids with a differential constitutive law. Zbl 0729.76006Guillopé, C.; Saut, J. C. 144 1990 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,189 Authors 62 Saut, Jean-Claude 38 Ponce, Gustavo 36 Linares, Felipe 31 Bona, Jerry Lloyd 28 Kenig, Carlos Eduardo 24 Hayashi, Nakao 24 Naumkin, Pavel Ivanovich 23 Vega, Luis 22 Pastor, Ademir 22 Pazoto, Ademir Fernando 21 Klein, Christian 21 Mitsotakis, Dimitrios E. 21 Zhang, Bingyu 20 Molinet, Luc 19 Lar’kin, Nikolaj Andreevich 19 Liu, Yue 18 Esfahani, Amin 18 Faminskii, Andrei V. 18 Kalisch, Henrik 17 Tzvetkov, Nikolay 16 Himonas, A. Alexandrou 15 Dougalis, Vassilios A. 15 Dutykh, Denys 15 Guo, Boling 15 Panthee, Mahendra 15 Wang, Baoxiang 14 Carvajal, Xavier Paredes 14 Deng, Yinbin 14 Pilod, Didier 13 Isaza, Pedro 13 Muñoz, Claudio 13 Ozawa, Tohru 12 Dancer, Edward Norman 12 Hoang, Luan Thach 12 Lannes, David 12 Mejía, Jorge 12 Tang, Xianhua 12 Tataru, Daniel 11 Duran, Angel 11 Foiaș, Ciprian 11 Pelinovsky, Dmitry Efimovich 10 Alazard, Thomas 10 Dinh, Van Duong 10 Ehrnström, Mats 10 Gravejat, Philippe 10 Guo, Yuxia 10 Huh, Hyungjin 10 Mammeri, Youcef 10 Rosier, Lionel 10 Wang, Yuexun 9 Bethuel, Fabrice 9 Chen, Jianhua 9 Chen, Min 9 de Laire, André 9 Li, Yongsheng 9 Tang, Zhongwei 9 Wei, Juncheng 8 Bustamante, Eddye 8 Capistrano-Filho, Roberto A. 8 Chen, Jianqing 8 Chiron, David 8 Constantin, Peter 8 Escauriaza Zubiria, Luis 8 Guo, Zihua 8 Ionescu, Alexandru D. 8 Israwi, Samer 8 Johansson, B. Tomas 8 Joseph, Daniel D. 8 Liu, Jiaquan 8 Marcati, Pierangelo 8 Masmoudi, Nader 8 Natali, Fábio M. Amorin 8 Pistoia, Angela 8 Pu, Xueke 8 Schippa, Robert 8 Smets, Didier 8 Sugimoto, Mitsuru 8 Varlamov, Vladimir V. 8 Wang, Youjun 8 Wang, Zhi-Qiang 8 Yamamoto, Masahiro 8 Zhang, Jian 8 Zi, Ruizhao 7 Angulo Pava, Jaime 7 Antonelli, Paolo 7 Carles, Rémi 7 Chen, Caisheng 7 Chen, Robin Ming 7 Cheng, Bitao 7 Dinvay, Evgueni 7 Duchêne, Vincent 7 Fanelli, Luca 7 Fonseca, Germán Eduardo 7 Guillopé, Colette 7 Guyenne, Philippe 7 Karakashian, Ohannes A. 7 Lteif, Ralph 7 Mantzavinos, Dionyssios 7 Niu, Miaomiao 7 Peng, Shuangjie ...and 2,089 more Authors all top 5 Cited in 313 Serials 170 Journal of Differential Equations 99 Journal of Mathematical Analysis and Applications 88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Communications in Partial Differential Equations 55 Journal of Mathematical Physics 51 Annales de l’Institut Henri Poincaré. 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Mathematical, Physical and Engineering Sciences 5 SN Partial Differential Equations and Applications 4 International Journal of Engineering Science 4 Journal of Mathematical Biology 4 Letters in Mathematical Physics ...and 213 more Serials all top 5 Cited in 43 Fields 1,992 Partial differential equations (35-XX) 724 Fluid mechanics (76-XX) 207 Dynamical systems and ergodic theory (37-XX) 168 Numerical analysis (65-XX) 94 Systems theory; control (93-XX) 74 Quantum theory (81-XX) 61 Global analysis, analysis on manifolds (58-XX) 58 Operator theory (47-XX) 58 Statistical mechanics, structure of matter (82-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 47 Optics, electromagnetic theory (78-XX) 45 Ordinary differential equations (34-XX) 42 Mechanics of deformable solids (74-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 36 Geophysics (86-XX) 33 Real functions (26-XX) 29 Biology and other natural sciences (92-XX) 24 Functional analysis (46-XX) 19 Probability theory and stochastic processes (60-XX) 13 Integral equations (45-XX) 11 Integral transforms, operational calculus (44-XX) 10 Special functions (33-XX) 10 Differential geometry (53-XX) 9 Potential theory (31-XX) 9 Mechanics of particles and systems (70-XX) 8 Classical thermodynamics, heat transfer (80-XX) 4 Difference and functional equations (39-XX) 3 Nonassociative rings and algebras (17-XX) 3 Approximations and expansions (41-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year