Edit Profile (opens in new tab) Pusateri, Fabio Co-Author Distance Author ID: pusateri.fabio Published as: Pusateri, Fabio; Pusateri, F. Homepage: https://www.math.toronto.edu/fabiop/ External Links: MGP · Google Scholar Documents Indexed: 38 Publications since 2009, including 1 Book and 7 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 35 Joint Publications 462 Co-Co-Authors all top 5 Co-Authors 3 single-authored 8 Ionescu, Alexandru D. 4 Germain, Pierre 3 Deng, Yu 3 Sigal, Israel Michael 2 Arbunich, Jack 2 Berti, Massimiliano 2 Chen, Gong 2 Feola, Roberto 2 Kairzhan, Adilbek 2 Léger, Tristan 2 Rousset, Frédéric 2 Shatah, Jalal 2 Soffer, Avraham 1 Beck, Thomas L. 1 Chierchia, Luigi 1 Faupin, Jérémy 1 Ginsberg, Daniel 1 Hani, Zaher 1 Kato, Jun 1 Murphy, Jason 1 Oh, Sung-Jin 1 Palacios, José Manuel 1 Pausader, Benoît 1 Sosoe, Phil 1 Widmayer, Klaus 1 Wong, Percy 1 Zhang, Katherine Zhiyuan all top 5 Serials 4 Communications on Pure and Applied Mathematics 3 Communications in Mathematical Physics 2 Archive for Rational Mechanics and Analysis 2 Analysis & PDE 1 Letters in Mathematical Physics 1 Nonlinearity 1 Acta Mathematica 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Journal of Hyperbolic Differential Equations 1 Forum of Mathematics, Pi 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Pure and Applied Analysis 1 Water Waves all top 5 Fields 35 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 3 Quantum theory (81-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 656 times in 387 Documents Cited by ▼ Year ▼ Global solutions for the gravity water waves system in 2d. Zbl 1325.35151 Ionescu, Alexandru D.; Pusateri, Fabio 122 2015 Nonlinear fractional Schrödinger equations in one dimension. Zbl 1304.35749 Ionescu, Alexandru D.; Pusateri, Fabio 109 2014 A new proof of long-range scattering for critical nonlinear Schrödinger equations. Zbl 1249.35307 Kato, Jun; Pusateri, Fabio 49 2011 Global regularity for 2D water waves with surface tension. Zbl 1435.76002 Ionescu, Alexandru D.; Pusateri, Fabio 44 2018 Global solutions of the gravity-capillary water-wave system in three dimensions. Zbl 1397.35190 Deng, Yu; Ionescu, Alexandru D.; Pausader, Benoît; Pusateri, Fabio 43 2017 Global analysis of a model for capillary water waves in two dimensions. Zbl 1351.35117 Ionescu, Alexandru D.; Pusateri, Fabio 31 2016 Asymptotic stability of solitons for mKdV. Zbl 1348.35219 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 30 2016 Space-time resonances and the null condition for first-order systems of wave equations. Zbl 1284.35261 Pusateri, Fabio; Shatah, Jalal 20 2013 Scattering for the Zakharov system in 3 dimensions. Zbl 1307.35278 Hani, Zaher; Pusateri, Fabio; Shatah, Jalal 19 2013 The nonlinear Schrödinger equation with a potential. Zbl 1406.35355 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 19 2018 Modified scattering for the boson star equation. Zbl 1305.35121 Pusateri, Fabio 18 2014 Decay and scattering for the Chern-Simons-Schrödinger equations. Zbl 1332.35341 Oh, Sung-Jin; Pusateri, Fabio 18 2015 Long-time existence for multi-dimensional periodic water waves. Zbl 1420.35243 Ionescu, A. D.; Pusateri, F. 18 2019 Quadratic Klein-Gordon equations with a potential in one dimension. Zbl 1495.35126 Germain, Pierre; Pusateri, Fabio 16 2022 Recent advances on the global regularity for irrotational water waves. Zbl 1404.76041 Ionescu, A. D.; Pusateri, F. 15 2018 Birkhoff normal form for gravity water waves. Zbl 1477.35156 Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 13 2021 On the limit as the surface tension and density ratio tend to zero for the two-phase Euler equations. Zbl 1222.35147 Pusateri, Fabio 10 2011 The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential. Zbl 1498.35189 Chen, Gong; Pusateri, Fabio 10 2022 Analytic Lagrangian tori for the planetary many-body problem. Zbl 1173.37067 Chierchia, Luigi; Pusateri, Fabio 9 2009 On the global behavior of weak null quasilinear wave equations. Zbl 1445.35252 Deng, Yu; Pusateri, Fabio 9 2020 On the global stability of a beta-plane equation. Zbl 1393.35180 Pusateri, Fabio; Widmayer, Klaus 7 2018 Almost global existence for cubic nonlinear Schrödinger equations in one space dimension. Zbl 1360.35254 Pusateri, Fabio; Murphy, Jason 6 2017 On 1d quadratic Klein-Gordon equations with a potential and symmetries. Zbl 1508.35120 Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan 6 2023 Birkhoff normal form and long time existence for periodic gravity water waves. Zbl 07748348 Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 4 2023 Maximal speed of quantum propagation. Zbl 1475.35301 Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 4 2021 Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112 Pusateri, Fabio; Sigal, Israel Michael 4 2021 Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. Zbl 1511.35243 Léger, Tristan; Pusateri, Fabio 2 2022 On global solutions of a Zakharov type system. Zbl 1345.35083 Beck, Thomas; Pusateri, Fabio; Sosoe, Phil; Wong, Percy 1 2015 On 1d quadratic Klein-Gordon equations with a potential and symmetries. Zbl 1508.35120 Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan 6 2023 Birkhoff normal form and long time existence for periodic gravity water waves. Zbl 07748348 Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 4 2023 Quadratic Klein-Gordon equations with a potential in one dimension. Zbl 1495.35126 Germain, Pierre; Pusateri, Fabio 16 2022 The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential. Zbl 1498.35189 Chen, Gong; Pusateri, Fabio 10 2022 Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. Zbl 1511.35243 Léger, Tristan; Pusateri, Fabio 2 2022 Birkhoff normal form for gravity water waves. Zbl 1477.35156 Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 13 2021 Maximal speed of quantum propagation. Zbl 1475.35301 Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 4 2021 Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112 Pusateri, Fabio; Sigal, Israel Michael 4 2021 On the global behavior of weak null quasilinear wave equations. Zbl 1445.35252 Deng, Yu; Pusateri, Fabio 9 2020 Long-time existence for multi-dimensional periodic water waves. Zbl 1420.35243 Ionescu, A. D.; Pusateri, F. 18 2019 Global regularity for 2D water waves with surface tension. Zbl 1435.76002 Ionescu, Alexandru D.; Pusateri, Fabio 44 2018 The nonlinear Schrödinger equation with a potential. Zbl 1406.35355 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 19 2018 Recent advances on the global regularity for irrotational water waves. Zbl 1404.76041 Ionescu, A. D.; Pusateri, F. 15 2018 On the global stability of a beta-plane equation. Zbl 1393.35180 Pusateri, Fabio; Widmayer, Klaus 7 2018 Global solutions of the gravity-capillary water-wave system in three dimensions. Zbl 1397.35190 Deng, Yu; Ionescu, Alexandru D.; Pausader, Benoît; Pusateri, Fabio 43 2017 Almost global existence for cubic nonlinear Schrödinger equations in one space dimension. Zbl 1360.35254 Pusateri, Fabio; Murphy, Jason 6 2017 Global analysis of a model for capillary water waves in two dimensions. Zbl 1351.35117 Ionescu, Alexandru D.; Pusateri, Fabio 31 2016 Asymptotic stability of solitons for mKdV. Zbl 1348.35219 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 30 2016 Global solutions for the gravity water waves system in 2d. Zbl 1325.35151 Ionescu, Alexandru D.; Pusateri, Fabio 122 2015 Decay and scattering for the Chern-Simons-Schrödinger equations. Zbl 1332.35341 Oh, Sung-Jin; Pusateri, Fabio 18 2015 On global solutions of a Zakharov type system. Zbl 1345.35083 Beck, Thomas; Pusateri, Fabio; Sosoe, Phil; Wong, Percy 1 2015 Nonlinear fractional Schrödinger equations in one dimension. Zbl 1304.35749 Ionescu, Alexandru D.; Pusateri, Fabio 109 2014 Modified scattering for the boson star equation. Zbl 1305.35121 Pusateri, Fabio 18 2014 Space-time resonances and the null condition for first-order systems of wave equations. Zbl 1284.35261 Pusateri, Fabio; Shatah, Jalal 20 2013 Scattering for the Zakharov system in 3 dimensions. Zbl 1307.35278 Hani, Zaher; Pusateri, Fabio; Shatah, Jalal 19 2013 A new proof of long-range scattering for critical nonlinear Schrödinger equations. Zbl 1249.35307 Kato, Jun; Pusateri, Fabio 49 2011 On the limit as the surface tension and density ratio tend to zero for the two-phase Euler equations. Zbl 1222.35147 Pusateri, Fabio 10 2011 Analytic Lagrangian tori for the planetary many-body problem. Zbl 1173.37067 Chierchia, Luigi; Pusateri, Fabio 9 2009 all cited Publications top 5 cited Publications all top 5 Cited by 453 Authors 22 Pusateri, Fabio 13 Ionescu, Alexandru D. 11 Pausader, Benoît 11 Tataru, Daniel 10 Ifrim, Mihaela 9 Cho, Yonggeun 9 Feola, Roberto 9 Naumkin, Pavel Ivanovich 8 Dinh, Van Duong 7 Wang, Yushun 6 Alazard, Thomas 6 Berti, Massimiliano 6 Fu, Yayun 6 Kaikina, Elena Igorevna 6 Kukavica, Igor 6 Tzvetkov, Nikolay 5 Baldi, Pietro 5 Chen, Gong 5 Cordoba, Diego 5 Germain, Pierre 5 Gu, Xumin 5 Guo, Yan 5 Haus, Emanuele 5 Hu, Dongdong 5 Kwon, Soonsik 5 Muñoz, Claudio 5 Sigal, Israel Michael 5 Wang, Yuexun 5 Zhang, Zhifei 4 Cai, Wenjun 4 Cuccagna, Scipio 4 Georgiev, Vladimir S. 4 Hayashi, Nakao 4 Hwang, Gyeongha 4 Lee, Kiyeon 4 Lee, Sanghyuk 4 Lindblad, Hans 4 Lührmann, Jonas 4 Luo, Chenyun 4 Maeda, Masaya 4 Ozawa, Tohru 4 Rousset, Frédéric 4 Saut, Jean-Claude 4 Su, Qingtang 4 Uriya, Kota 4 Wang, Xuecheng 4 Widmayer, Klaus 4 Xu, Zhuangzhi 4 Yang, Changhun 3 Castro, Ángel 3 Disconzi, Marcelo Mendes 3 Dong, Shijie 3 Düll, Wolf-Patrick 3 Guo, Boling 3 Hani, Zaher 3 Herr, Sebastian 3 Huang, Jiaxi 3 Iandoli, Felice 3 Kim, Kihyun 3 Kowalczyk, Michał 3 Léger, Tristan 3 Li, Chunhua 3 Li, Yuan 3 Lian, Jiali 3 Martel, Yvan 3 Masmoudi, Nader 3 Maspero, Alberto 3 Montalto, Riccardo 3 Murgante, Federico 3 Nakanishi, Kenji 3 Naumkin, Ivan P. 3 Pomponio, Alessio 3 Ponce, Gustavo 3 Sagawa, Yuji 3 Soffer, Avraham 3 Sulem, Catherine 3 Sunagawa, Hideaki 3 Tesfahun, Achenef 3 Tuffaha, Amjad M. 3 Vega, Luis 3 Wang, Yanjin 3 Wu, Sijue 3 Xu, XinDong 3 Zhang, Jingjun 3 Zhao, Lifeng 3 Zhu, Hao 2 Bianchini, Roberta 2 Burq, Nicolas 2 Butler, Leo T. 2 Chen, Robin Ming 2 Correia, Simão 2 Côte, Raphaël 2 Craig, Walter 2 de Poyferré, Thibault 2 Delort, Jean-Marc 2 Ehrnström, Mats 2 Esquivel, Liliana 2 Fan, Engui 2 Faupin, Jérémy 2 Ginsberg, Daniel ...and 353 more Authors all top 5 Cited in 111 Serials 26 Journal of Differential Equations 24 Archive for Rational Mechanics and Analysis 21 Communications in Mathematical Physics 20 SIAM Journal on Mathematical Analysis 14 Communications on Pure and Applied Analysis 13 Nonlinearity 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Discrete and Continuous Dynamical Systems 9 Journal of Mathematical Physics 9 Advances in Mathematics 8 Annals of PDE 7 Journal of Mathematical Analysis and Applications 7 Journal of Functional Analysis 7 Journal of Evolution Equations 7 Analysis & PDE 6 Communications on Pure and Applied Mathematics 6 Memoirs of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Communications in Partial Differential Equations 6 Journal of Dynamics and Differential Equations 6 Annales Henri Poincaré 5 Inventiones Mathematicae 5 Séminaire Laurent Schwartz. EDP et Applications 5 Water Waves 4 Computers & Mathematics with Applications 4 Physica D 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Calculus of Variations and Partial Differential Equations 4 Forum of Mathematics, Pi 4 Pure and Applied Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Bulletin de la Société Mathématique de France 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Applied Numerical Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Regular and Chaotic Dynamics 3 Journal of Hyperbolic Differential Equations 3 Oberwolfach Reports 3 Forum of Mathematics, Sigma 2 Journal of Computational Physics 2 Wave Motion 2 Applied Mathematics and Optimization 2 Duke Mathematical Journal 2 Mathematics and Computers in Simulation 2 Journal of Scientific Computing 2 Advances in Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Qualitative Theory of Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Journal of Applied Analysis and Computation 1 Applicable Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Ukrainian Mathematical Journal 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 Asymptotic Analysis 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Journal of Fourier Analysis and Applications 1 Vietnam Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 La Gaceta de la Real Sociedad Matemática Española 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 Boundary Value Problems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Communications in Theoretical Physics 1 Differential Equations and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Open Mathematics ...and 11 more Serials all top 5 Cited in 33 Fields 366 Partial differential equations (35-XX) 126 Fluid mechanics (76-XX) 42 Dynamical systems and ergodic theory (37-XX) 25 Numerical analysis (65-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Quantum theory (81-XX) 17 Real functions (26-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Mechanics of particles and systems (70-XX) 9 Geophysics (86-XX) 8 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year