## Saut, Jean-Claude

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 Author ID: saut.jean-claude Published as: Saut, Jean-Claude; Saut, J. C.; Saut, J.-C.; Saut, Jean Claude External Links: MGP · ResearchGate · dblp
 Documents Indexed: 166 Publications since 1971, including 4 Books 5 Contributions as Editor Co-Authors: 65 Co-Authors with 143 Joint Publications 2,073 Co-Co-Authors
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### Co-Authors

 28 single-authored 13 Foiaş, Ciprian Ilie 12 Tzvetkov, Nikolay 10 Bethuel, Fabrice 10 Bona, Jerry Lloyd 10 de Bouard, Anne 9 Linares, Felipe 8 Gravejat, Philippe 7 Ghidaglia, Jean-Michel 7 Klein, Christian 7 Molinet, Luc 7 Pilod, Didier 7 Temam, Roger Meyer 6 Hayashi, Nakao 6 Lannes, David 6 Scheurer, Bruno 6 Xu, Li 5 Guillopé, Colette 5 Joseph, Daniel D. 5 Ponce, Gustavo 4 Smets, Didier 4 Wang, Yuexun 3 Ben-Artzi, Matania 3 Constantin, Peter 3 Dougalis, Vassilios A. 3 Koch, Herbert 3 Mitsotakis, Dimitrios E. 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 Brandenberger, Robert H. 1 Carles, Rémi 1 Demay, Yves 1 Desjardins, Benoît 1 Di Menza, Laurent 1 Dias, Frédéric 1 Farina, Alberto 1 Felland, M. 1 Jouron, Claude 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 Perry, Peter A. 1 Renardy, Michael 1 Selberg, Sigmund 1 Sparber, Christof 1 Tesfahun, Achenef 1 Tom, Michael Mudi 1 Wang, Chuntian 1 Wayne, Clarence Eugene 1 Zhang, Ping
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### 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 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 Notices of the American Mathematical Society 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
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### Fields

 160 Partial differential equations (35-XX) 78 Fluid mechanics (76-XX) 10 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 Operator theory (47-XX) 6 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

139 Publications have been cited 3,452 times in 2,104 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.
2002
Local smoothing properties of dispersive equations. Zbl 0667.35061
Constantin, P.; Saut, J. C.
1988
Unique continuation for some evolution equations. Zbl 0631.35044
Saut, Jean-Claude; Scheurer, Bruno
1987
Existence results for the flow of viscoelastic fluids with a differential constitutive law. Zbl 0729.76006
Guillopé, C.; Saut, J. C.
1990
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
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.
2004
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
1989
Sur quelques généralisations de l’équation de Korteweg-de Vries. Zbl 0449.35083
Saut, J. C.
1979
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2001
Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
2000
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Remarks on the Korteweg-de Vries equation. Zbl 0334.35062
Saut, J. C.; Temam, R.
1976
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
1997
Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. Zbl 0701.76011
Guillopé, C.; Saut, J.-C.
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
2013
Generic properties of nonlinear boundary value problems. Zbl 0462.35016
Saut, J. C.; Temam, R.
1979
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
2009
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
2008
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
2002
Remarks on the generalized Kadomtsev-Petviashvili equations. Zbl 0814.35119
Saut, Jean-Claude
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.
1984
Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101
Bona, J. L.; Saut, J.-C.
1993
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090
de Bouard, Anne; Saut, Jean-Claude
1997
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.
1995
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
2010
Hyperbolicity and change of type in the flow of viscoelastic fluids. Zbl 0572.76011
Joseph, Daniel D.; Renardy, Michael; Saut, Jean-Claude
1985
Dispersive perturbations of Burgers and hyperbolic equations. I: Local theory. Zbl 1294.35124
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2014
Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177
Bethuel, Fabrice; Saut, Jean-Claude
1999
Short-wave instabilities and ill-posed initial value problems. Zbl 0707.76038
Joseph, Daniel D.; Saut, Jean Claude
1990
Model equations for waves in stratified fluids. Zbl 0886.35111
Albert, J. P.; Bona, J. L.; Saut, J.-C.
1997
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
2012
Local smoothing properties of Schrödinger equations. Zbl 0712.35022
Constantin, Peter; Saut, Jean-Claude
1989
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2002
Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2009
A model system for strong interaction between internal solitary waves. Zbl 0752.35056
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M.
1992
On Whitham and related equations. Zbl 1393.35208
Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2018
An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253
Saut, Jean-Claude; Temam, Roger
2010
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
2011
The Cauchy problem on large time for surface waves Boussinesq systems. Zbl 1245.35090
Saut, Jean-Claude; Xu, Li
2012
Uniform decay estimates for a class of oscillatory integrals and applications. Zbl 1016.35006
Ben-Artzi, M.; Saut, J.-C.
1999
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation. Zbl 1364.35047
Klein, Christian; Saut, Jean-Claude
2015
Linearization and normal form of the Navier-Stokes equations with potential forces. Zbl 0635.35075
Foias, C.; Saut, J. C.
1987
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
2014
Remarks on a nonlinear equation arising in population genetics. Zbl 0421.35072
Saut, J. C.; Scheurer, B.
1978
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
2000
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2007
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
1999
Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012
Béthuel, Fabrice; Gravejat, Phillipe; Saut, Jean-Claude; Smets, Didier
2008
Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066
Foias, C.; Saut, J. C.
1991
Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120
Hayashi, Nakao; Saut, Jean-Claude
1995
Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166
Guyenne, Philippe; Lannes, David; Saut, Jean-Claude
2010
Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095
de Bouard, A.; Saut, J. C.
1996
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.
2007
Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
2003
The Cauchy problem on large time for surface-waves-type Boussinesq systems. II. Zbl 1412.35266
Saut, Jean-Claude; Wang, Chao; Xu, Li
2017
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
2004
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
2006
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
2012
Remarks on the orbital stability of ground state solutions of fKdV and related equations. Zbl 1325.35195
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2015
Saut, J. C.; Joseph, D. D.
1983
Nonelliptic Schrödinger equations. Zbl 0808.35135
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1993
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
2013
Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2008
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
2001
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
2009
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
2010
Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096
Ponce, Gustavo; Saut, Jean-Claude
2005
Change of type and loss of evolution in the flow of viscoelastic fluids. Zbl 0626.76009
Joseph, D. D.; Saut, J. C.
1986
Recent results on the generalized Kadomtsev-Petviashvili equations. Zbl 0839.35121
Saut, Jean-Claude
1995
Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123
Ghidaglia, J. M.; Saut, J. C.
1996
IST versus PDE: a comparative study. Zbl 1331.35306
Klein, Christian; Saut, Jean-Claude
2015
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. Zbl 1420.35320
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2018
On the smoothness of the nonlinear spectral manifolds associated to the Navier-Stokes equations. Zbl 0572.35081
Foiaş, Ciprian; Saut, J. C.
1984
Generic properties of Navier-Stokes equations: Genericity with respect to the boundary values. Zbl 0445.76023
Saut, J. C.; Temam, R.
1980
Solitons in quadratic media. Zbl 1342.35325
Colin, M.; Di Menza, L.; Saut, J. C.
2016
Well-posedness of strongly dispersive two-dimensional surface wave Boussinesq systems. Zbl 1259.35186
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2012
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2004
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.
1982
On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2008
Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168
Ming, Mei; Saut, Jean Claude; Zhang, Ping
2012
Mathematical problems arising in differential models for viscoelastic fluids. Zbl 0794.76007
Guillopé, C.; Saut, J. C.
1993
Quelques généralisations de l’équation de Korteweg-de Vries. II. Zbl 0435.35067
Saut, J. C.
1979
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.
2009
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
2011
On some Boussinesq systems in two space dimensions: Theory and numerical analysis. Zbl 1140.76314
Dougalis, Vassilios A.; Mitsotakis, Dimitrios E.; Saut, Jean-Claude
2007
Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE. Zbl 1442.35355
Saut, Jean-Claude
2019
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
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.
2010
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
2019
Remarques sur les équations de Navier-Stokes stationnaires. Zbl 0546.35058
Foiaş, Ciprian; Saut, J. C.
1983
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147
de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
1999
Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132
Bona, Jerry L.; Saut, Jean-Claude
2010
Lectures on the mathematical theory of viscoelastic fluids. Zbl 1348.35200
Saut, J.-C.
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
1987
Effets régularisants locaux pour des équations dispersives générales. (Local smoothing properties of general dispersive equations). Zbl 0634.35064
Constantin, Peter; Saut, Jean-Claude
1987
Limite du rapport de l’enstrophie sur l’énergie pour une solution faible des équations de Navier-Stokes. Zbl 0492.35063
Foiaş, Ciprian; Saut, Jean-Claude
1981
A numerical approach to Blow-up issues for Davey-Stewartson II systems. Zbl 1322.35128
Klein, Christian; Saut, Jean-Claude
2015
Well-posedness on large time for a modified full dispersion system of surface waves. Zbl 1426.76076
Saut, Jean-Claude; Xu, Li
2012
Remarks on the damped stationary Euler equations. Zbl 0732.35072
Saut, Jean-Claude
1990
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
2021
On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
2021
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations. Zbl 07433740
Saut, Jean-Claude; Wang, Yuexun
2021
Long time existence for a two-dimensional strongly dispersive Boussinesq system. Zbl 07433751
Saut, Jean-Claude; Xu, Li
2021
Dispersive estimates for full dispersion KP equations. Zbl 1458.35083
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef
2021
Existence of solitary wave solutions for internal waves in two-layer systems. Zbl 1425.35160
Pava, Jaime Angulo; Saut, Jean-Claude
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
2020
Long time existence for a strongly dispersive Boussinesq system. Zbl 1447.35114
Saut, Jean-Claude; Xu, Li
2020
Long time existence for the Boussinesq-Full dispersion systems. Zbl 1434.35118
Saut, Jean-Claude; Xu, Li
2020
Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE. Zbl 1442.35355
Saut, Jean-Claude
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
2019
On Whitham and related equations. Zbl 1393.35208
Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2018
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. Zbl 1420.35320
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2018
On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system. Zbl 1397.35218
Luong, Hung; Mauser, Norbert J.; Saut, Jean-Claude
2018
Navier and Stokes meet Poincaré and Dulac. Zbl 1457.35024
Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude
2018
The Cauchy problem on large time for surface-waves-type Boussinesq systems. II. Zbl 1412.35266
Saut, Jean-Claude; Wang, Chao; Xu, Li
2017
Solitons in quadratic media. Zbl 1342.35325
Colin, M.; Di Menza, L.; Saut, J. C.
2016
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation. Zbl 1364.35047
Klein, Christian; Saut, Jean-Claude
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
2015
IST versus PDE: a comparative study. Zbl 1331.35306
Klein, Christian; Saut, Jean-Claude
2015
A numerical approach to Blow-up issues for Davey-Stewartson II systems. Zbl 1322.35128
Klein, Christian; Saut, Jean-Claude
2015
Remarks on the full dispersion Davey-Stewartson systems. Zbl 1318.35085
Obrecht, Caroline; Saut, Jean-Claude
2015
Dispersive perturbations of Burgers and hyperbolic equations. I: Local theory. Zbl 1294.35124
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2014
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
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
2013
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
2013
Lectures on the mathematical theory of viscoelastic fluids. Zbl 1348.35200
Saut, J.-C.
2013
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
2012
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
The Cauchy problem on large time for surface waves Boussinesq systems. Zbl 1245.35090
Saut, Jean-Claude; Xu, Li
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
2012
Well-posedness of strongly dispersive two-dimensional surface wave Boussinesq systems. Zbl 1259.35186
Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2012
Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168
Ming, Mei; Saut, Jean Claude; Zhang, Ping
2012
Well-posedness on large time for a modified full dispersion system of surface waves. Zbl 1426.76076
Saut, Jean-Claude; Xu, Li
2012
Lectures on asymptotic models for internal waves. Zbl 1291.35232
Saut, Jean-Claude
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
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
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
2010
An initial boundary-value problem for the Zakharov-Kuznetsov equation. Zbl 1219.35253
Saut, Jean-Claude; Temam, Roger
2010
Well-posedness of the Cauchy problem for models of large amplitude internal waves. Zbl 1191.35166
Guyenne, Philippe; Lannes, David; Saut, Jean-Claude
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
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.
2010
Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132
Bona, Jerry L.; Saut, Jean-Claude
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
2010
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
2009
Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
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
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.
2009
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
2008
Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012
Béthuel, Fabrice; Gravejat, Phillipe; Saut, Jean-Claude; Smets, Didier
2008
Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2008
On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude
2008
Remarks on the mass constraint for KP-type equations. Zbl 1139.35009
Molinet, L.; Saut, J. C.; Tzvetkov, N.
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.
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
2007
Local smoothing and local solvability for third order dispersive equations. Zbl 1125.35075
Koch, Herbert; Saut, Jean-Claude
2007
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Zbl 1122.35114
Lannes, D.; Saut, Jean-Claude
2006
Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system. Zbl 1079.35096
Ponce, Gustavo; Saut, Jean-Claude
2005
On a degenerate Zakharov system. Zbl 1070.35087
Linares, F.; Ponce, G.; Saut, J.-C.
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.
2004
Global well-posedness for the KP-BBM equations. Zbl 1063.35140
Saut, J.-C.; Tzvetkov, N.
2004
Correction: “Global well-posedness for the KP-I equation”. Zbl 1055.35103
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2004
Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
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.
2002
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation. Zbl 1033.35103
Molinet, L.; Saut, J.-C.; Tzvetkov, N.
2002
Global well-posedness for the KP-I equation. Zbl 1008.35060
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2002
Vortices and sound waves for the Gross-Pitaevskii equation. Zbl 1271.82030
Bethuel, F.; Saut, J. C.
2002
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2001
On periodic KP-I type equations. Zbl 0984.35143
Saut, J.-C.; Tzvetkov, N.
2001
Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160
Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude
2000
The Cauchy problem for the fifth order KP equations. Zbl 0961.35137
Saut, J. C.; Tzvetkov, N.
2000
On a model system for the oblique interaction of internal gravity waves. Zbl 0963.76018
Saut, Jean-Claude; Tzvetkov, Nikolay
2000
Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177
Bethuel, Fabrice; Saut, Jean-Claude
1999
Uniform decay estimates for a class of oscillatory integrals and applications. Zbl 1016.35006
Ben-Artzi, M.; Saut, J.-C.
1999
The Cauchy problem for higher-order KP equations. Zbl 0927.35098
Saut, J. C.; Tzvetkov, N.
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
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
1999
Global existence of small solutions to a relativistic nonlinear Schrödinger equation. Zbl 0948.81025
de Bouard, Anne; Hayashi, Nakao; Saut, Jean-Claude
1997
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
1997
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. Zbl 0889.35090
de Bouard, Anne; Saut, Jean-Claude
1997
Model equations for waves in stratified fluids. Zbl 0886.35111
Albert, J. P.; Bona, J. L.; Saut, J.-C.
1997
Langmuir solitary waves in a weakly magnetized plasma. Zbl 0890.35142
de Bouard, A.; Saut, J. C.
1997
Remarks on the stability of generalized KP solitary waves. Zbl 0863.35095
de Bouard, A.; Saut, J. C.
1996
Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123
Ghidaglia, J. M.; Saut, J. C.
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.
1995
Global existence of small solutions to the Davey-Stewartson and the Ishimori systems. Zbl 0827.35120
Hayashi, Nakao; Saut, Jean-Claude
1995
Recent results on the generalized Kadomtsev-Petviashvili equations. Zbl 0839.35121
Saut, Jean-Claude
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
1995
Collapse of Chern-Simons-gauged matter fields. Zbl 1020.81698
Bergé, L.; de Bouard, A.; Saut, J.-C.
1995
Remarks on the generalized Kadomtsev-Petviashvili equations. Zbl 0814.35119
Saut, Jean-Claude
1993
Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101
Bona, J. L.; Saut, J.-C.
1993
Nonelliptic Schrödinger equations. Zbl 0808.35135
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1993
Mathematical problems arising in differential models for viscoelastic fluids. Zbl 0794.76007
Guillopé, C.; Saut, J. C.
1993
A model system for strong interaction between internal solitary waves. Zbl 0752.35056
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M.
1992
Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066
Foias, C.; Saut, J. C.
1991
Existence and stability of steady flows of weakly viscoelastic fluids. Zbl 0850.76041
Guillopé, Colette; Saut, Jean-Claude
1991
Existence results for the flow of viscoelastic fluids with a differential constitutive law. Zbl 0729.76006
Guillopé, C.; Saut, J. C.
1990
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. Zbl 0701.76011
Guillopé, C.; Saut, J.-C.
1990
Short-wave instabilities and ill-posed initial value problems. Zbl 0707.76038
Joseph, Daniel D.; Saut, Jean Claude
1990
...and 39 more Documents
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### Cited by 2,031 Authors

 62 Saut, Jean-Claude 38 Ponce, Gustavo 36 Linares, Felipe 30 Bona, Jerry Lloyd 28 Kenig, Carlos Eduardo 23 Vega, Luis 22 Hayashi, Nakao 22 Naumkin, Pavel Ivanovich 21 Pastor, Ademir 20 Klein, Christian 20 Mitsotakis, Dimitrios E. 20 Molinet, Luc 20 Pazoto, Ademir Fernando 19 Zhang, Bingyu 18 Kalisch, Henrik 18 Lar’kin, Nikolaj Andreevich 18 Liu, Yue 17 Faminskii, Andrei V. 17 Tzvetkov, Nikolay 16 Esfahani, Amin 15 Dutykh, Denys 15 Himonas, A. Alexandrou 15 Panthee, Mahendra 15 Wang, Baoxiang 14 Carvajal, Xavier Paredes 14 Deng, Yinbin 14 Guo, Boling 14 Pilod, Didier 13 Dougalis, Vassilios A. 13 Isaza, Pedro 13 Muñoz, Claudio 13 Ozawa, Tohru 12 Dancer, Edward Norman 12 Hoang, Luan Thach 12 Mejía, Jorge 11 Foiaş, Ciprian Ilie 11 Tang, Xianhua 11 Tataru, Daniel 10 Gravejat, Philippe 10 Guo, Yuxia 10 Huh, Hyungjin 10 Lannes, David 10 Pelinovsky, Dmitry Efimovich 10 Rosier, Lionel 9 Bethuel, Fabrice 9 Dinh, Van Duong 9 Doronin, Gleb Germanovitch 9 Duran, Angel 9 Li, Yongsheng 9 Tang, Zhongwei 9 Wang, Yuexun 9 Wei, Juncheng 8 Alazard, Thomas 8 Bustamante, Eddye 8 Capistrano-Filho, Roberto A. 8 Chiron, David 8 Constantin, Peter 8 Guo, Zihua 8 Ionescu, Alexandru D. 8 Israwi, Samer 8 Johansson, B. Tomas 8 Joseph, Daniel D. 8 Liu, Jiaquan 8 Mammeri, Youcef 8 Masmoudi, Nader 8 Natali, Fábio M. Amorin 8 Pu, Xueke 8 Smets, Didier 8 Sugimoto, Mitsuru 8 Varlamov, Vladimir V. 8 Wang, Youjun 8 Wang, Zhi-Qiang 8 Yamamoto, Masahiro 7 Chen, Jianhua 7 Chen, Jianqing 7 Chen, Robin Ming 7 de Laire, André 7 Dinvay, Evgueni 7 Ehrnström, Mats 7 Escauriaza Zubiria, Luis 7 Fanelli, Luca 7 Fonseca, Germán Eduardo 7 Guillopé, Colette 7 Marcati, Pierangelo 7 Niu, Miaomiao 7 Peng, Shuangjie 7 Perla Menzala, Gustavo Alberto 7 Pistoia, Angela 7 Renardy, Michael 7 Schippa, Robert 7 Stefanov, Atanas G. 7 Sun, Shuming 7 Talhouk, Raafat 7 Vera Villagrán, Octavio Paulo 7 Xu, Li 7 Yan, Wei 7 Zhang, Jian 7 Zi, Ruizhao 6 Angulo Pava, Jaime 6 Antonelli, Paolo ...and 1,931 more Authors
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### Cited in 295 Serials

 163 Journal of Differential Equations 94 Journal of Mathematical Analysis and Applications 84 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 56 Communications in Partial Differential Equations 54 Journal of Mathematical Physics 48 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 47 Discrete and Continuous Dynamical Systems 46 Communications on Pure and Applied Analysis 45 Journal of Functional Analysis 42 Archive for Rational Mechanics and Analysis 41 Communications in Mathematical Physics 40 Physica D 37 Nonlinearity 34 SIAM Journal on Mathematical Analysis 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 27 Journal of Fluid Mechanics 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Applied Mathematics Letters 24 Transactions of the American Mathematical Society 21 Applicable Analysis 20 Applied Mathematics and Computation 20 Proceedings of the American Mathematical Society 20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Advances in Mathematics 18 Journal of Mathematical Fluid Mechanics 17 Journal of Evolution Equations 16 Journal of Nonlinear Science 16 Communications in Nonlinear Science and Numerical Simulation 15 Mathematische Annalen 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Journal of Dynamics and Differential Equations 14 Journal d’Analyse Mathématique 14 Studies in Applied Mathematics 14 Nonlinear Analysis. Real World Applications 14 Nonlinear Analysis. Theory, Methods & Applications 13 Calculus of Variations and Partial Differential Equations 13 Discrete and Continuous Dynamical Systems. Series B 12 Mathematical Methods in the Applied Sciences 12 Applied Mathematics and Optimization 12 NoDEA. Nonlinear Differential Equations and Applications 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Discrete and Continuous Dynamical Systems. Series S 11 Wave Motion 11 Quarterly of Applied Mathematics 11 European Journal of Mechanics. B. Fluids 11 Communications in Contemporary Mathematics 10 Computers & Mathematics with Applications 10 Journal of Computational Physics 10 Journal of Computational and Applied Mathematics 10 Mathematics and Computers in Simulation 10 Acta Mathematica Sinica. English Series 10 Advances in Mathematical Physics 10 Science China. Mathematics 10 Mathematical Control and Related Fields 9 Computer Methods in Applied Mechanics and Engineering 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Acta Applicandae Mathematicae 9 Applied Numerical Mathematics 9 Complex Variables and Elliptic Equations 8 Duke Mathematical Journal 8 Acta Mathematicae Applicatae Sinica. English Series 8 Boundary Value Problems 7 Theoretical and Computational Fluid Dynamics 7 Chinese Annals of Mathematics. Series B 7 Journal of the American Mathematical Society 7 Annales de l’Institut Henri Poincaré. Physique Théorique 7 Journal of Mathematical Sciences (New York) 7 The Journal of Fourier Analysis and Applications 7 Abstract and Applied Analysis 7 Journal of Fixed Point Theory and Applications 6 Computers and Fluids 6 Communications on Pure and Applied Mathematics 6 Inventiones Mathematicae 6 Physics of Fluids 6 Advances in Nonlinear Analysis 5 Inverse Problems 5 Mathematical Notes 5 Mathematics of Computation 5 Mathematical and Computer Modelling 5 Journal of Scientific Computing 5 International Journal of Computer Mathematics 5 Journal of Non-Newtonian Fluid Mechanics 5 Journal of the European Mathematical Society (JEMS) 5 Mediterranean Journal of Mathematics 5 Communications in Computational Physics 5 Mathematical Modelling of Natural Phenomena 5 Evolution Equations and Control Theory 5 Séminaire Laurent Schwartz. EDP et Applications 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Water Waves 4 International Journal of Engineering Science 4 Journal of Mathematical Biology 4 Letters in Mathematical Physics 4 Theoretical and Mathematical Physics 4 Arkiv för Matematik 4 Chaos, Solitons and Fractals 4 Annales de l’Institut Fourier 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV ...and 195 more Serials
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### Cited in 43 Fields

 1,851 Partial differential equations (35-XX) 664 Fluid mechanics (76-XX) 196 Dynamical systems and ergodic theory (37-XX) 151 Numerical analysis (65-XX) 84 Systems theory; control (93-XX) 67 Quantum theory (81-XX) 57 Global analysis, analysis on manifolds (58-XX) 55 Operator theory (47-XX) 53 Statistical mechanics, structure of matter (82-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 44 Ordinary differential equations (34-XX) 44 Optics, electromagnetic theory (78-XX) 40 Mechanics of deformable solids (74-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 31 Geophysics (86-XX) 27 Biology and other natural sciences (92-XX) 25 Functional analysis (46-XX) 23 Real functions (26-XX) 18 Probability theory and stochastic processes (60-XX) 12 Integral equations (45-XX) 11 Integral transforms, operational calculus (44-XX) 10 Differential geometry (53-XX) 9 Special functions (33-XX) 9 Mechanics of particles and systems (70-XX) 8 Potential theory (31-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 Nonassociative rings and algebras (17-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-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)