Edit Profile (opens in new tab) Tsai, Tai-Peng Compute Distance To: Compute Author ID: tsai.tai-peng Published as: Tsai, Tai-Peng; Tsai, T.-P. External Links: MGP Documents Indexed: 59 Publications since 1998, including 1 Book Co-Authors: 29 Co-Authors with 53 Joint Publications 845 Co-Co-Authors all top 5 Co-Authors 6 single-authored 13 Gustafson, Stephen J. 10 Kang, Kyungkeun 9 Bradshaw, Zachary 9 Yau, Horng-Tzer 7 Nakanishi, Kenji 6 Miura, Hideyuki 4 Le Coz, Stefan 3 Fröhlich, Jürg Martin 2 Chae, Dongho 2 Chen, Chiun-Chuan 2 Guan, Meijiao 2 Martel, Yvan 2 Merle, Frank 2 Strain, Robert M. 1 Chang, Shu-Ming 1 Frigaard, Ian A. 1 Kim, Hyunseok 1 Korobkov, Mikhail V. 1 Kukavica, Igor 1 Kwon, Hyunju 1 Li, Dong 1 Lin, Liren 1 Liu, Fei Justina 1 Luo, Yuwen 1 Moyers-Gonzalez, Miguel A. 1 Phan, Tuoc Van 1 Scherzer, Otmar 1 Šverák, Vladimír 1 Zwiers, Ian all top 5 Serials 6 Communications in Mathematical Physics 6 Communications in Partial Differential Equations 4 IMRN. International Mathematics Research Notices 3 Journal of Differential Equations 3 SIAM Journal on Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Duke Mathematical Journal 2 Mathematical Research Letters 2 Journal of Mathematical Fluid Mechanics 2 Annales Henri Poincaré 2 Analysis & PDE 2 SN Partial Differential Equations and Applications 1 Nonlinearity 1 Advances in Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 European Journal of Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Advances in Theoretical and Mathematical Physics 1 Communications in Contemporary Mathematics 1 AMRX. Applied Mathematics Research eXpress 1 Graduate Studies in Mathematics 1 Pure and Applied Analysis all top 5 Fields 57 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 10 Quantum theory (81-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 49 Publications have been cited 1,081 times in 663 Documents Cited by ▼ Year ▼ Stability and asymptotic stability for subcritical gKdV equations. Zbl 1017.35098Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 88 2002 On Leray’s self-similar solutions of the Navier-Stokes equations satisfying local energy estimates. Zbl 0916.35084Tsai, Tai-Peng 71 1998 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 65 2007 Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137Tsai, Tai-Peng; Yau, Horng-Tzer 60 2002 Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. Zbl 1099.35134Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 51 2006 Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. Zbl 1126.35042Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 49 2007 Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer 49 2009 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 48 2009 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068Chen, Chiun-Chuan; Strain, Robert M.; Yau, Horng-Tzer; Tsai, Tai-Peng 40 2008 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 39 2002 Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120Tsai, Tai-Peng; Yau, Horng-Tzer 38 2002 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 37 2004 Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113Tsai, Tai-Peng; Yau, Horng-Tzer 31 2002 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2007 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2006 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 27 2010 Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034Tsai, Tai-Peng; Yau, Horng-Tzer 24 2002 Schrödinger flow near harmonic maps. Zbl 1144.53085Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 24 2007 Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data. Zbl 1258.35159Kang, Kyungkuen; Miura, Hideyuki; Tsai, Tai-Peng 23 2012 Asymptotic dynamics of nonlinear Schrödinger equations with many bound states. Zbl 1038.35128Tsai, Tai-Peng 22 2003 Asymptotic stability of harmonic maps under the Schrödinger flow. Zbl 1170.35091Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 21 2008 Forward discretely self-similar solutions of the Navier-Stokes equations. Zbl 1293.35218Tsai, Tai-Peng 20 2014 Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary. Zbl 1159.35396Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 18 2006 Forward discretely self-similar solutions of the Navier-Stokes equations. II. Zbl 1368.35204Bradshaw, Zachary; Tsai, Tai-Peng 16 2017 Lectures on Navier-Stokes equations. Zbl 1414.35001Tsai, Tai-Peng 15 2018 Stability of periodic waves of 1D cubic nonlinear Schrödinger equations. Zbl 1403.35277Gustafson, Stephen; Le Coz, Stefan; Tsai, Tai-Peng 12 2017 On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 12 2000 Forward self-similar solutions of the Navier-Stokes equations in the half space. Zbl 1358.35094Korobkov, Mikhail; Tsai, Tai-Peng 12 2016 On the spatial decay of 3-D steady-state Navier-Stokes flows. Zbl 0971.35059Šverák, Vladimír; Tsai, Tai-Peng 11 2000 Global existence and blow-up for harmonic map heat flow. Zbl 1177.35104Guan, Meijiao; Gustafson, Stephen; Tsai, Tai-Peng 11 2009 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360Bradshaw, Zachary; Tsai, Tai-Peng 9 2020 Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations. Zbl 1304.35646Le Coz, Stefan; Tsai, Tai-Peng 7 2014 Point singularities of 3D stationary Navier-Stokes flows. Zbl 1294.35071Miura, Hideyuki; Tsai, Tai-Peng 7 2012 Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation. Zbl 1441.35185Kwon, Hyunju; Tsai, Tai-Peng 7 2020 Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality. Zbl 1431.35100Bradshaw, Zachary; Tsai, Tai-Peng 7 2019 Discretely self-similar solutions to the Navier-Stokes equations with Besov space data. Zbl 1394.35316Bradshaw, Zachary; Tsai, Tai-Peng 6 2018 Rotationally corrected scaling invariant solutions to the Navier-Stokes equations. Zbl 1386.35171Bradshaw, Zachary; Tsai, Tai-Peng 6 2017 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 6 2012 Transient effects in oilfield cementing flows: Qualitative behaviour. Zbl 1153.76428Moyers-González, M. A.; Frigaard, I. A.; Scherzer, O.; Tsai, T.-P. 4 2007 Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248Chae, Dongho; Tsai, Tai-Peng 4 2015 Self-similar solutions to the Navier-Stokes equations: a survey of recent results. Zbl 1408.35119Bradshaw, Zachary; Tsai, Tai-Peng 4 2018 Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. Zbl 1436.35125Kim, Hyunseok; Tsai, Tai-Peng 4 2020 Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng 4 2015 On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 3 2000 Regularity criteria in weak \(L^3\) for 3D incompressible Navier-Stokes equations. Zbl 1353.35226Luo, Yuwen; Tsai, Tai-Peng 3 2015 Short time regularity of Navier-Stokes flows with locally \(L^3\) initial data and applications. Zbl 1479.35618Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 3 2021 On discretely self-similar solutions of the Euler equations. Zbl 1304.35514Chae, Dongho; Tsai, Tai-Peng 1 2014 Mixed dimensional infinite soliton trains for nonlinear Schrödinger equations. Zbl 1359.35178Lin, Liren; Tsai, Tai-Peng 1 2017 On the local pressure expansion for the Navier-Stokes equations. Zbl 07425737Bradshaw, Zachary; Tsai, Tai-Peng 1 2022 On the local pressure expansion for the Navier-Stokes equations. Zbl 07425737Bradshaw, Zachary; Tsai, Tai-Peng 1 2022 Short time regularity of Navier-Stokes flows with locally \(L^3\) initial data and applications. Zbl 1479.35618Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 3 2021 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360Bradshaw, Zachary; Tsai, Tai-Peng 9 2020 Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation. Zbl 1441.35185Kwon, Hyunju; Tsai, Tai-Peng 7 2020 Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. Zbl 1436.35125Kim, Hyunseok; Tsai, Tai-Peng 4 2020 Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality. Zbl 1431.35100Bradshaw, Zachary; Tsai, Tai-Peng 7 2019 Lectures on Navier-Stokes equations. Zbl 1414.35001Tsai, Tai-Peng 15 2018 Discretely self-similar solutions to the Navier-Stokes equations with Besov space data. Zbl 1394.35316Bradshaw, Zachary; Tsai, Tai-Peng 6 2018 Self-similar solutions to the Navier-Stokes equations: a survey of recent results. Zbl 1408.35119Bradshaw, Zachary; Tsai, Tai-Peng 4 2018 Forward discretely self-similar solutions of the Navier-Stokes equations. II. Zbl 1368.35204Bradshaw, Zachary; Tsai, Tai-Peng 16 2017 Stability of periodic waves of 1D cubic nonlinear Schrödinger equations. Zbl 1403.35277Gustafson, Stephen; Le Coz, Stefan; Tsai, Tai-Peng 12 2017 Rotationally corrected scaling invariant solutions to the Navier-Stokes equations. Zbl 1386.35171Bradshaw, Zachary; Tsai, Tai-Peng 6 2017 Mixed dimensional infinite soliton trains for nonlinear Schrödinger equations. Zbl 1359.35178Lin, Liren; Tsai, Tai-Peng 1 2017 Forward self-similar solutions of the Navier-Stokes equations in the half space. Zbl 1358.35094Korobkov, Mikhail; Tsai, Tai-Peng 12 2016 Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248Chae, Dongho; Tsai, Tai-Peng 4 2015 Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng 4 2015 Regularity criteria in weak \(L^3\) for 3D incompressible Navier-Stokes equations. Zbl 1353.35226Luo, Yuwen; Tsai, Tai-Peng 3 2015 Forward discretely self-similar solutions of the Navier-Stokes equations. Zbl 1293.35218Tsai, Tai-Peng 20 2014 Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations. Zbl 1304.35646Le Coz, Stefan; Tsai, Tai-Peng 7 2014 On discretely self-similar solutions of the Euler equations. Zbl 1304.35514Chae, Dongho; Tsai, Tai-Peng 1 2014 Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data. Zbl 1258.35159Kang, Kyungkuen; Miura, Hideyuki; Tsai, Tai-Peng 23 2012 Point singularities of 3D stationary Navier-Stokes flows. Zbl 1294.35071Miura, Hideyuki; Tsai, Tai-Peng 7 2012 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 6 2012 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 27 2010 Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer 49 2009 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 48 2009 Global existence and blow-up for harmonic map heat flow. Zbl 1177.35104Guan, Meijiao; Gustafson, Stephen; Tsai, Tai-Peng 11 2009 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068Chen, Chiun-Chuan; Strain, Robert M.; Yau, Horng-Tzer; Tsai, Tai-Peng 40 2008 Asymptotic stability of harmonic maps under the Schrödinger flow. Zbl 1170.35091Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 21 2008 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 65 2007 Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. Zbl 1126.35042Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 49 2007 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2007 Schrödinger flow near harmonic maps. Zbl 1144.53085Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 24 2007 Transient effects in oilfield cementing flows: Qualitative behaviour. Zbl 1153.76428Moyers-González, M. A.; Frigaard, I. A.; Scherzer, O.; Tsai, T.-P. 4 2007 Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. Zbl 1099.35134Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 51 2006 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2006 Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary. Zbl 1159.35396Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 18 2006 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 37 2004 Asymptotic dynamics of nonlinear Schrödinger equations with many bound states. Zbl 1038.35128Tsai, Tai-Peng 22 2003 Stability and asymptotic stability for subcritical gKdV equations. Zbl 1017.35098Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 88 2002 Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137Tsai, Tai-Peng; Yau, Horng-Tzer 60 2002 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 39 2002 Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120Tsai, Tai-Peng; Yau, Horng-Tzer 38 2002 Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113Tsai, Tai-Peng; Yau, Horng-Tzer 31 2002 Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034Tsai, Tai-Peng; Yau, Horng-Tzer 24 2002 On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 12 2000 On the spatial decay of 3-D steady-state Navier-Stokes flows. Zbl 0971.35059Šverák, Vladimír; Tsai, Tai-Peng 11 2000 On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 3 2000 On Leray’s self-similar solutions of the Navier-Stokes equations satisfying local energy estimates. Zbl 0916.35084Tsai, Tai-Peng 71 1998 all cited Publications top 5 cited Publications all top 5 Cited by 623 Authors 28 Martel, Yvan 28 Tsai, Tai-Peng 24 Cuccagna, Scipio 18 Merle, Frank 18 Muñoz, Claudio 18 Raphael, Pierre 17 Chae, Dongho 14 Ionescu, Alexandru D. 12 Wang, Yanqing 10 Bradshaw, Zachary 10 Kang, Kyungkeun 9 Côte, Raphaël 9 Gustafson, Stephen J. 9 Maeda, Masaya 9 Seregin, Gregory A. 9 Sigal, Israel Michael 8 Wolf, Jörg 8 Yang, Minsuk 7 Germain, Pierre 7 Komech, Alexander Ilich 7 Kopylova, Elena A. 7 Lei, Zhen 7 Nakanishi, Kenji 7 Pausader, Benoît 7 Soffer, Avraham 7 Šverák, Vladimír 7 Wu, Gang 6 Alejo, Miguel A. 6 Galdi, Giovanni Paolo 6 Holmer, Justin 6 Le Coz, Stefan 6 Lenzmann, Enno 6 Miura, Hideyuki 6 Pan, Xinghong 6 Pusateri, Fabio 6 Zhang, Ting 5 Choe, Hi Jun 5 Collot, Charles 5 Dong, Hongjie 5 Farwig, Reinhard 5 Fernández-Dalgo, Pedro Gabriel 5 Fröhlich, Jürg Martin 5 Gravejat, Philippe 5 Hou, Thomas Yizhao 5 Kowalczyk, Michał 5 Lai, Baishun 5 Liu, Yue 5 Miao, Changxing 5 Pelinovsky, Dmitry Efimovich 5 Phan, Tuoc Van 5 Roudenko, Svetlana 5 Vega, Luis 5 Wang, Wendong 5 Wang, Youde 5 Zhang, Qi-Shuhuason 5 Zhang, Zhifei 4 Audiard, Corentin 4 Banica, Valeria 4 Barker, Tobias 4 Boussaid, Nabile 4 Elgindi, Tarek Mohamed 4 Farah, Luiz Gustavo 4 Frigaard, Ian A. 4 Gang, Zhou 4 Jendrej, Jacek 4 Kenig, Carlos Eduardo 4 Krieger, Joachim 4 Léger, Tristan 4 Li, Ze 4 Liu, Qiao 4 Liu, Xiaochuan 4 Liu, Xingxing 4 Molinet, Luc 4 Perelman, Galina 4 Qu, Changzheng 4 Saut, Jean-Claude 4 Smets, Didier 4 Squassina, Marco 4 Takada, Ryo 4 Taniuchi, Yasushi 4 Wang, Jun 4 Wang, Zhong 4 Xiang, Changlin 4 Yuan, Xu 4 Zhao, Lifeng 4 Zhou, Daoguo 3 Abou-Salem, Walid K. 3 Adami, Riccardo 3 Albritton, Dallas 3 Bahri, Yakine 3 Bambusi, Dario 3 Bejenaru, Ioan 3 Bethuel, Fabrice 3 Bonheure, Denis 3 Chen, Gong 3 Combet, Vianney 3 Comech, Andrew 3 de Laire, André 3 de Suzzoni, Anne-Sophie 3 Deng, Qingquan ...and 523 more Authors all top 5 Cited in 138 Serials 49 Communications in Mathematical Physics 48 Journal of Differential Equations 39 Archive for Rational Mechanics and Analysis 29 Discrete and Continuous Dynamical Systems 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 SIAM Journal on Mathematical Analysis 21 Journal of Mathematical Fluid Mechanics 20 Journal of Mathematical Physics 19 Communications in Partial Differential Equations 18 Journal of Functional Analysis 16 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Advances in Mathematics 14 Transactions of the American Mathematical Society 13 Calculus of Variations and Partial Differential Equations 11 Communications on Pure and Applied Mathematics 10 Nonlinearity 10 Séminaire Laurent Schwartz. EDP et Applications 9 Physica D 8 Mathematische Annalen 7 Nonlinear Analysis. Real World Applications 7 Journal of Evolution Equations 6 Inventiones Mathematicae 6 Journal of Dynamics and Differential Equations 6 Annales Henri Poincaré 6 Communications on Pure and Applied Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Quarterly of Applied Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Annals of Mathematics. Second Series 5 Journal of Hyperbolic Differential Equations 5 Annals of PDE 4 Applicable Analysis 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Applied Mathematics Letters 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 SN Partial Differential Equations and Applications 3 Journal d’Analyse Mathématique 3 Journal of Fluid Mechanics 3 Letters in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Russian Mathematical Surveys 3 Reviews in Mathematical Physics 3 Acta Mathematica 3 Memoirs of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 Journal of the American Mathematical Society 3 Journal of Nonlinear Science 3 Communications in Contemporary Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Science China. Mathematics 2 Journal of Engineering Mathematics 2 Annales de l’Institut Fourier 2 Indiana University Mathematics Journal 2 Mathematics and Computers in Simulation 2 Pacific Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 St. Petersburg Mathematical Journal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Chaos 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Advances in Nonlinear Analysis 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Annales Henri Lebesgue 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Annals of Global Analysis and Geometry 1 Journal of Scientific Computing 1 Science in China. Series A 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni ...and 38 more Serials all top 5 Cited in 34 Fields 635 Partial differential equations (35-XX) 253 Fluid mechanics (76-XX) 86 Dynamical systems and ergodic theory (37-XX) 40 Quantum theory (81-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 Optics, electromagnetic theory (78-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Numerical analysis (65-XX) 10 Functional analysis (46-XX) 9 Differential geometry (53-XX) 8 Relativity and gravitational theory (83-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operator theory (47-XX) 6 Geophysics (86-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year