Alazard, Thomas

Compute Distance To:
 Author ID: alazard.thomas Published as: Alazard, Thomas; Alazard, T. External Links: MGP
 Documents Indexed: 41 Publications since 2005, including 3 Books Co-Authors: 12 Co-Authors with 24 Joint Publications 242 Co-Co-Authors
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Co-Authors

 14 single-authored 10 Zuily, Claude 9 Burq, Nicolas 4 Carles, Rémi 2 Baldi, Pietro 2 Delort, Jean-Marc 2 Ifrim, Mihaela 2 Lazar, Omar 2 Tataru, Daniel 1 Han-Kwan, Daniel 1 Métivier, Guy 1 Meunier, Nicolas 1 Smets, Didier
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Serials

 4 Archive for Rational Mechanics and Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annals of PDE 2 Séminaire Laurent Schwartz. EDP et Applications 2 Water Waves 1 Communications in Mathematical Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Advances in Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Astérisque 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Universitext
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Fields

 40 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

Citations contained in zbMATH Open

34 Publications have been cited 618 times in 343 Documents Cited by Year
Low Mach number limit of the full Navier-Stokes equations. Zbl 1108.76061
Alazard, Thomas
2006
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
2014
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
2011
Global solutions and asymptotic behavior for two dimensional gravity water waves. (Solutions globales et comportement asymptotique pour l’équation des ondes de gravité en dimension deux.) Zbl 1347.35198
Alazard, Thomas; Delort, Jean-Marc
2015
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050
Alazard, Thomas
2005
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Zbl 1207.35082
Alazard, Thomas; Métivier, Guy
2009
Sobolev estimates for two dimensional gravity water waves. Zbl 1360.35002
Alazard, Thomas; Delort, Jean-Marc
2015
Gravity capillary standing water waves. Zbl 1317.35181
Alazard, Thomas; Baldi, Pietro
2015
Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047
Alazard, Thomas; Carles, Rémi
2009
Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227
Alazard, T.; Burq, N.; Zuily, C.
2016
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2011
A minicourse on the low Mach number limit. Zbl 1160.35060
Alazard, Thomas
2008
Low Mach number flows and combustion. Zbl 1121.35092
Alazard, Thomas
2006
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2013
Paralinearization of the Muskat equation and application to the Cauchy problem. Zbl 1437.35563
Alazard, Thomas; Lazar, Omar
2020
Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302
Alazard, Thomas; Carles, Rémi
2009
Control of water waves. Zbl 1384.93024
Alazard, Thomas; Baldi, Pietro; Han-Kwan, Daniel
2018
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2018
Lyapunov functions, identities and the Cauchy problem for the Hele-Shaw equation. Zbl 1442.35319
Alazard, Thomas; Meunier, Nicolas; Smets, Didier
2020
Semi-classical limit of Schrödinger–Poisson equations in space dimension $$n\geqslant 3$$. Zbl 1107.35018
Alazard, Thomas; Carles, Rémi
2007
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328
Alazard, Thomas; Carles, Rémi
2009
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
2013
Stabilization of the water-wave equations with surface tension. Zbl 1403.35226
Alazard, Thomas
2017
Boundary observability of gravity water waves. Zbl 1445.76016
Alazard, Thomas
2018
A stationary phase type estimate. Zbl 1364.35012
Alazard, T.; Burq, N.; Zuily, C.
2017
On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430
Alazard, Thomas; Nguyen, Quoc-Hung
2021
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. Zbl 1477.35151
Alazard, Thomas; Nguyen, Quoc-Hung
2021
Stabilization of gravity water waves. Zbl 1393.35253
Alazard, Thomas
2018
Controllability and stabilization of water waves. Zbl 1360.35163
Alazard, Thomas
2016
About global existence and asymptotic behavior for two dimensional gravity water waves. Zbl 1319.35179
Alazard, Thomas
2014
Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem. Zbl 07496429
Alazard, Thomas; Nguyen, Quoc-Hung
2022
Paralinearization of the Dirichlet-Neumann operator and applications to progressive gravity waves. Zbl 1239.35031
Alazard, Thomas
2012
Convexity and the Hele-Shaw equation. Zbl 1476.35191
Alazard, Thomas
2021
Morawetz inequalities for water waves. Zbl 1458.35077
Alazard, Thomas; Ifrim, Mihaela; Tataru, Daniel
2020
Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem. Zbl 07496429
Alazard, Thomas; Nguyen, Quoc-Hung
2022
On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430
Alazard, Thomas; Nguyen, Quoc-Hung
2021
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data. Zbl 1477.35151
Alazard, Thomas; Nguyen, Quoc-Hung
2021
Convexity and the Hele-Shaw equation. Zbl 1476.35191
Alazard, Thomas
2021
Paralinearization of the Muskat equation and application to the Cauchy problem. Zbl 1437.35563
Alazard, Thomas; Lazar, Omar
2020
Lyapunov functions, identities and the Cauchy problem for the Hele-Shaw equation. Zbl 1442.35319
Alazard, Thomas; Meunier, Nicolas; Smets, Didier
2020
Morawetz inequalities for water waves. Zbl 1458.35077
Alazard, Thomas; Ifrim, Mihaela; Tataru, Daniel
2020
Control of water waves. Zbl 1384.93024
Alazard, Thomas; Baldi, Pietro; Han-Kwan, Daniel
2018
Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2018
Boundary observability of gravity water waves. Zbl 1445.76016
Alazard, Thomas
2018
Stabilization of gravity water waves. Zbl 1393.35253
Alazard, Thomas
2018
Stabilization of the water-wave equations with surface tension. Zbl 1403.35226
Alazard, Thomas
2017
A stationary phase type estimate. Zbl 1364.35012
Alazard, T.; Burq, N.; Zuily, C.
2017
Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227
Alazard, T.; Burq, N.; Zuily, C.
2016
Controllability and stabilization of water waves. Zbl 1360.35163
Alazard, Thomas
2016
Global solutions and asymptotic behavior for two dimensional gravity water waves. (Solutions globales et comportement asymptotique pour l’équation des ondes de gravité en dimension deux.) Zbl 1347.35198
Alazard, Thomas; Delort, Jean-Marc
2015
Sobolev estimates for two dimensional gravity water waves. Zbl 1360.35002
Alazard, Thomas; Delort, Jean-Marc
2015
Gravity capillary standing water waves. Zbl 1317.35181
Alazard, Thomas; Baldi, Pietro
2015
On the Cauchy problem for gravity water waves. Zbl 1308.35195
Alazard, T.; Burq, N.; Zuily, C.
2014
About global existence and asymptotic behavior for two dimensional gravity water waves. Zbl 1319.35179
Alazard, Thomas
2014
The water-wave equations: from Zakharov to Euler. Zbl 1273.35220
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2013
Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277
Alazard, T.; Burq, N.; Zuily, C.
2013
Paralinearization of the Dirichlet-Neumann operator and applications to progressive gravity waves. Zbl 1239.35031
Alazard, Thomas
2012
On the water-wave equations with surface tension. Zbl 1258.35043
Alazard, T.; Burq, N.; Zuily, C.
2011
Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140
Alazard, Thomas; Burq, Nicolas; Zuily, Claude
2011
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Zbl 1207.35082
Alazard, Thomas; Métivier, Guy
2009
Loss of regularity for supercritical nonlinear Schrödinger equations. Zbl 1161.35047
Alazard, Thomas; Carles, Rémi
2009
Supercritical geometric optics for nonlinear Schrödinger equations. Zbl 1179.35302
Alazard, Thomas; Carles, Rémi
2009
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity. Zbl 1167.35328
Alazard, Thomas; Carles, Rémi
2009
A minicourse on the low Mach number limit. Zbl 1160.35060
Alazard, Thomas
2008
Semi-classical limit of Schrödinger–Poisson equations in space dimension $$n\geqslant 3$$. Zbl 1107.35018
Alazard, Thomas; Carles, Rémi
2007
Low Mach number limit of the full Navier-Stokes equations. Zbl 1108.76061
Alazard, Thomas
2006
Low Mach number flows and combustion. Zbl 1121.35092
Alazard, Thomas
2006
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Zbl 1101.35050
Alazard, Thomas
2005
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Cited by 367 Authors

 24 Alazard, Thomas 14 Fan, Jishan 11 Feireisl, Eduard 9 Berti, Massimiliano 9 Carles, Rémi 9 Jiang, Song 9 Li, Fucai 9 Montalto, Riccardo 8 Ou, Yaobin 8 Pusateri, Fabio 7 Ionescu, Alexandru D. 7 Ju, Qiangchang 7 Kukavica, Igor 7 Nguyen, Huy Quang 7 Novotný, Antonín 7 Pausader, Benoît 6 Ifrim, Mihaela 6 Nakamura, Gen 6 Rousset, Frédéric 6 Tataru, Daniel 6 Zhou, Yong 5 Baldi, Pietro 5 Bresch, Didier 5 Burq, Nicolas 5 Gómez-Serrano, Javier 5 Luo, Tao 5 Zuily, Claude 4 Cordoba, Diego 4 Danchin, Raphaël 4 Dimarco, Giacomo 4 Disconzi, Marcelo Mendes 4 Duchêne, Vincent 4 Feola, Roberto 4 Gancedo, Francisco 4 Granero Belinchón, Rafael 4 Gu, Xumin 4 Li, Yeping 4 Liao, Xian 4 Luo, Chenyun 4 Masmoudi, Nader 4 Nguyen, Quang Huy 4 Tuffaha, Amjad M. 4 Tzvetkov, Nikolay 4 Zhang, Zhifei 3 Ambrose, David M. 3 Boscheri, Walter 3 Castro, Ángel 3 Coutand, Daniel 3 de Poyferré, Thibault 3 Deng, Yu 3 Desjardins, Benoît 3 Dinvay, Evgueni 3 Dou, Changsheng 3 Fefferman, Charles Louis 3 Germain, Pierre 3 Giovangigli, Vincent 3 Grenier, Emmanuel 3 Hao, Chengchun 3 Lannes, David 3 Lin, Chikun 3 Loubère, Raphaël 3 Masaki, Satoshi 3 Ming, Mei 3 Nkonga, Boniface 3 Prange, Christophe 3 Ren, Dandan 3 Schochet, Steven H. 3 Scrobogna, Stefano 3 Shkoller, Steve 3 Sparber, Christof 3 Sun, Jianzhu 3 Tang, Tong 3 Vignal, Marie-Hélène 3 Wang, Tianyi 3 Wang, Xuecheng 3 Wang, Yanjin 3 Xin, Zhouping 3 Xu, Xin 3 Yang, Jianwei 3 Zhang, Junyan 2 Agrawal, Siddhant 2 Ai, Albert 2 Calgaro, Caterina 2 Cheng, Peng 2 Cheverry, Christophe 2 Chiron, David 2 Creusé, Emmanuel 2 Düll, Wolf-Patrick 2 Fanelli, Francesco 2 Franzoi, Laura 2 Gallice, Gérard 2 Gallo, Clément 2 Guo, Boling 2 Haus, Emanuele 2 Hu, Yuxi 2 Iandoli, Felice 2 Israwi, Samer 2 Kalisch, Henrik 2 Kreml, Ondřej 2 Lazar, Omar ...and 267 more Authors
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Cited in 100 Serials

 29 Archive for Rational Mechanics and Analysis 22 SIAM Journal on Mathematical Analysis 21 Journal of Differential Equations 16 Communications in Mathematical Physics 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Computational Physics 8 Advances in Mathematics 8 Science China. Mathematics 7 Journal of Mathematical Physics 7 Nonlinearity 7 Inventiones Mathematicae 7 Water Waves 6 Journal of Mathematical Fluid Mechanics 6 Annals of PDE 5 Communications in Partial Differential Equations 5 Nonlinear Analysis. Real World Applications 4 Applied Mathematics and Optimization 4 Mathematische Annalen 4 Memoirs of the American Mathematical Society 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Asymptotic Analysis 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Communications on Pure and Applied Analysis 4 Séminaire Laurent Schwartz. EDP et Applications 3 Computers and Fluids 3 Communications on Pure and Applied Mathematics 3 Journal of Fluid Mechanics 3 Mathematical Methods in the Applied Sciences 3 Bulletin de la Société Mathématique de France 3 Proceedings of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Analysis & PDE 3 Bollettino dell’Unione Matematica Italiana 2 Applicable Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 2 Kinetic and Related Models 2 Electronic Research Archive 1 Analysis Mathematica 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Engineering Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Physica D 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Science in China. Series E 1 Nonlinear Dynamics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 La Gaceta de la Real Sociedad Matemática Española 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Acta Numerica 1 Journal of Fixed Point Theory and Applications 1 Electronic Research Announcements in Mathematical Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Forum of Mathematics, Sigma 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of the American Mathematical Society. Series B 1 Tunisian Journal of Mathematics 1 SMAI Journal of Computational Mathematics
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Cited in 23 Fields

 313 Partial differential equations (35-XX) 261 Fluid mechanics (76-XX) 22 Numerical analysis (65-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Quantum theory (81-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Geophysics (86-XX) 6 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX)