Edit Profile (opens in new tab) Tsai, Tai-Peng Co-Author Distance Author ID: tsai.tai-peng Published as: Tsai, Tai-Peng; Tsai, T.-P. External Links: MGP Documents Indexed: 73 Publications since 1998, including 1 Book and 9 Additional arXiv Preprints Co-Authors: 39 Co-Authors with 67 Joint Publications 1,079 Co-Co-Authors all top 5 Co-Authors 6 single-authored 15 Gustafson, Stephen J. 12 Kang, Kyungkeun 11 Bradshaw, Zachary 9 Yau, Horng-Tzer 7 Nakanishi, Kenji 6 Miura, Hideyuki 5 Le Coz, Stefan 3 Fröhlich, Jürg Martin 3 Lai, Chen-Chih 3 Martel, Yvan 3 Merle, Frank 2 Chae, Dongho 2 Chen, Chiun-Chuan 2 Chen, Hui 2 Guan, Meijiao 2 Kim, Hyunseok 2 Kwon, Hyunju 2 Lai, Baishun 2 Phan, Tuoc Van 2 Strain, Robert M. 2 Zwiers, Ian 1 Chang, Shu-Ming 1 Chernobai, Misha 1 Combet, Vianney 1 Frigaard, Ian A. 1 Kfoury, Perla 1 Korobkov, Mikhail V. 1 Kukavica, Igor 1 Li, Dong 1 Liang, Su 1 Lin, Liren 1 Liu, Fei Justina 1 Luo, Yuwen 1 Morrison, Theo 1 Moyers-Gonzalez, Miguel A. 1 Scherzer, Otmar 1 Šverák, Vladimír 1 Takaoka, Hideo 1 Zhang, Ting all top 5 Serials 7 Communications in Mathematical Physics 7 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 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Graduate Studies in Mathematics 1 Pure and Applied Analysis all top 5 Fields 68 Partial differential equations (35-XX) 36 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) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-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 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 60 Publications have been cited 1,446 times in 854 Documents Cited by ▼ Year ▼ Stability and asymptotic stability for subcritical gKdV equations. Zbl 1017.35098 Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 111 2002 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041 Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 89 2007 On Leray’s self-similar solutions of the Navier-Stokes equations satisfying local energy estimates. Zbl 0916.35084 Tsai, Tai-Peng 82 1998 Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137 Tsai, Tai-Peng; Yau, Horng-Tzer 68 2002 Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. Zbl 1099.35134 Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 66 2006 Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. Zbl 1126.35042 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 64 2007 Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095 Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer 64 2009 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 63 2009 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068 Chen, Chiun-Chuan; Strain, Robert M.; Yau, Horng-Tzer; Tsai, Tai-Peng 58 2008 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015 Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 48 2002 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 46 2004 Lectures on Navier-Stokes equations. Zbl 1414.35001 Tsai, Tai-Peng 42 2018 Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120 Tsai, Tai-Peng; Yau, Horng-Tzer 41 2002 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 41 2010 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 40 2006 Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113 Tsai, Tai-Peng; Yau, Horng-Tzer 34 2002 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 34 2007 Asymptotic stability of harmonic maps under the Schrödinger flow. Zbl 1170.35091 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 29 2008 Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034 Tsai, Tai-Peng; Yau, Horng-Tzer 28 2002 Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data. Zbl 1258.35159 Kang, Kyungkuen; Miura, Hideyuki; Tsai, Tai-Peng 28 2012 Schrödinger flow near harmonic maps. Zbl 1144.53085 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 27 2007 Forward discretely self-similar solutions of the Navier-Stokes equations. Zbl 1293.35218 Tsai, Tai-Peng 25 2014 Forward discretely self-similar solutions of the Navier-Stokes equations. II. Zbl 1368.35204 Bradshaw, Zachary; Tsai, Tai-Peng 23 2017 Asymptotic dynamics of nonlinear Schrödinger equations with many bound states. Zbl 1038.35128 Tsai, Tai-Peng 22 2003 Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary. Zbl 1159.35396 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 21 2006 On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015 Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 20 2000 Forward self-similar solutions of the Navier-Stokes equations in the half space. Zbl 1358.35094 Korobkov, Mikhail; Tsai, Tai-Peng 18 2016 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360 Bradshaw, Zachary; Tsai, Tai-Peng 18 2020 Stability of periodic waves of 1D cubic nonlinear Schrödinger equations. Zbl 1403.35277 Gustafson, Stephen; Le Coz, Stefan; Tsai, Tai-Peng 17 2017 Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation. Zbl 1441.35185 Kwon, Hyunju; Tsai, Tai-Peng 16 2020 On the spatial decay of 3-D steady-state Navier-Stokes flows. Zbl 0971.35059 Šverák, Vladimír; Tsai, Tai-Peng 14 2000 Global existence and blow-up for harmonic map heat flow. Zbl 1177.35104 Guan, Meijiao; Gustafson, Stephen; Tsai, Tai-Peng 12 2009 Short time regularity of Navier-Stokes flows with locally \(L^3\) initial data and applications. Zbl 1479.35618 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 12 2021 Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality. Zbl 1431.35100 Bradshaw, Zachary; Tsai, Tai-Peng 11 2019 Rotationally corrected scaling invariant solutions to the Navier-Stokes equations. Zbl 1386.35171 Bradshaw, Zachary; Tsai, Tai-Peng 9 2017 Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations. Zbl 1304.35646 Le Coz, Stefan; Tsai, Tai-Peng 9 2014 Point singularities of 3D stationary Navier-Stokes flows. Zbl 1294.35071 Miura, Hideyuki; Tsai, Tai-Peng 8 2012 Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136 Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng 8 2015 Discretely self-similar solutions to the Navier-Stokes equations with Besov space data. Zbl 1394.35316 Bradshaw, Zachary; Tsai, Tai-Peng 8 2018 Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. Zbl 1436.35125 Kim, Hyunseok; Tsai, Tai-Peng 8 2020 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136 Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 7 2012 Self-similar solutions to the Navier-Stokes equations: a survey of recent results. Zbl 1408.35119 Bradshaw, Zachary; Tsai, Tai-Peng 6 2018 Existence of global weak solutions to the Navier-Stokes equations in weighted spaces. Zbl 1507.35137 Bradshaw, Zachary; Kukavica, Igor; Tsai, Tai-Peng 5 2022 Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations. Zbl 1487.35295 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 5 2021 Transient effects in oilfield cementing flows: Qualitative behaviour. Zbl 1153.76428 Moyers-González, M. A.; Frigaard, I. A.; Scherzer, O.; Tsai, T.-P. 4 2007 Regularity criteria in weak \(L^3\) for 3D incompressible Navier-Stokes equations. Zbl 1353.35226 Luo, Yuwen; Tsai, Tai-Peng 4 2015 Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248 Chae, Dongho; Tsai, Tai-Peng 4 2015 Local energy solutions to the Navier-Stokes equations in Wiener amalgam spaces. Zbl 1464.35172 Bradshaw, Zachary; Tsai, Tai-Peng 4 2021 Remarks on local regularity of axisymmetric solutions to the 3D Navier-Stokes equations. Zbl 1492.35219 Chen, Hui; Tsai, Tai-Peng; Zhang, Ting 4 2022 On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543 Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 3 2000 On the local pressure expansion for the Navier-Stokes equations. Zbl 1521.76079 Bradshaw, Zachary; Tsai, Tai-Peng 3 2022 Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space. Zbl 1497.35344 Kang, Kyungkeun; Lai, Baishun; Lai, Chen-Chih; Tsai, Tai-Peng 3 2022 Green tensor of the Stokes system and asymptotics of stationary Navier-Stokes flows in the half space. Zbl 1382.35192 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 2 2018 On discretely self-similar solutions of the Euler equations. Zbl 1304.35514 Chae, Dongho; Tsai, Tai-Peng 2 2014 Liouville type theorems for stationary Navier-Stokes equations. Zbl 1462.35113 Tsai, Tai-Peng 2 2021 Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities. Zbl 1487.35170 Liu, Fei Justina; Tsai, Tai-Peng; Zwiers, Ian 2 2021 Global questions for map evolution equations. Zbl 1146.35083 Guan, Meijiao; Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 1 2008 Mixed dimensional infinite soliton trains for nonlinear Schrödinger equations. Zbl 1359.35178 Lin, Liren; Tsai, Tai-Peng 1 2017 Finite and infinite soliton and kink-soliton trains of nonlinear Schrödinger equations. Zbl 1381.35162 Le Coz, Stefan; Tsai, Tai-Peng 1 2017 Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations. Zbl 1480.35311 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 1 2022 Existence of global weak solutions to the Navier-Stokes equations in weighted spaces. Zbl 1507.35137 Bradshaw, Zachary; Kukavica, Igor; Tsai, Tai-Peng 5 2022 Remarks on local regularity of axisymmetric solutions to the 3D Navier-Stokes equations. Zbl 1492.35219 Chen, Hui; Tsai, Tai-Peng; Zhang, Ting 4 2022 On the local pressure expansion for the Navier-Stokes equations. Zbl 1521.76079 Bradshaw, Zachary; Tsai, Tai-Peng 3 2022 Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space. Zbl 1497.35344 Kang, Kyungkeun; Lai, Baishun; Lai, Chen-Chih; Tsai, Tai-Peng 3 2022 Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations. Zbl 1480.35311 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 1 2022 Short time regularity of Navier-Stokes flows with locally \(L^3\) initial data and applications. Zbl 1479.35618 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 12 2021 Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations. Zbl 1487.35295 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 5 2021 Local energy solutions to the Navier-Stokes equations in Wiener amalgam spaces. Zbl 1464.35172 Bradshaw, Zachary; Tsai, Tai-Peng 4 2021 Liouville type theorems for stationary Navier-Stokes equations. Zbl 1462.35113 Tsai, Tai-Peng 2 2021 Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities. Zbl 1487.35170 Liu, Fei Justina; Tsai, Tai-Peng; Zwiers, Ian 2 2021 Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations. Zbl 1448.35360 Bradshaw, Zachary; Tsai, Tai-Peng 18 2020 Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation. Zbl 1441.35185 Kwon, Hyunju; Tsai, Tai-Peng 16 2020 Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. Zbl 1436.35125 Kim, Hyunseok; Tsai, Tai-Peng 8 2020 Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality. Zbl 1431.35100 Bradshaw, Zachary; Tsai, Tai-Peng 11 2019 Lectures on Navier-Stokes equations. Zbl 1414.35001 Tsai, Tai-Peng 42 2018 Discretely self-similar solutions to the Navier-Stokes equations with Besov space data. Zbl 1394.35316 Bradshaw, Zachary; Tsai, Tai-Peng 8 2018 Self-similar solutions to the Navier-Stokes equations: a survey of recent results. Zbl 1408.35119 Bradshaw, Zachary; Tsai, Tai-Peng 6 2018 Green tensor of the Stokes system and asymptotics of stationary Navier-Stokes flows in the half space. Zbl 1382.35192 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 2 2018 Forward discretely self-similar solutions of the Navier-Stokes equations. II. Zbl 1368.35204 Bradshaw, Zachary; Tsai, Tai-Peng 23 2017 Stability of periodic waves of 1D cubic nonlinear Schrödinger equations. Zbl 1403.35277 Gustafson, Stephen; Le Coz, Stefan; Tsai, Tai-Peng 17 2017 Rotationally corrected scaling invariant solutions to the Navier-Stokes equations. Zbl 1386.35171 Bradshaw, Zachary; Tsai, Tai-Peng 9 2017 Mixed dimensional infinite soliton trains for nonlinear Schrödinger equations. Zbl 1359.35178 Lin, Liren; Tsai, Tai-Peng 1 2017 Finite and infinite soliton and kink-soliton trains of nonlinear Schrödinger equations. Zbl 1381.35162 Le Coz, Stefan; Tsai, Tai-Peng 1 2017 Forward self-similar solutions of the Navier-Stokes equations in the half space. Zbl 1358.35094 Korobkov, Mikhail; Tsai, Tai-Peng 18 2016 Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136 Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng 8 2015 Regularity criteria in weak \(L^3\) for 3D incompressible Navier-Stokes equations. Zbl 1353.35226 Luo, Yuwen; Tsai, Tai-Peng 4 2015 Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. Zbl 1364.35248 Chae, Dongho; Tsai, Tai-Peng 4 2015 Forward discretely self-similar solutions of the Navier-Stokes equations. Zbl 1293.35218 Tsai, Tai-Peng 25 2014 Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations. Zbl 1304.35646 Le Coz, Stefan; Tsai, Tai-Peng 9 2014 On discretely self-similar solutions of the Euler equations. Zbl 1304.35514 Chae, Dongho; Tsai, Tai-Peng 2 2014 Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data. Zbl 1258.35159 Kang, Kyungkuen; Miura, Hideyuki; Tsai, Tai-Peng 28 2012 Point singularities of 3D stationary Navier-Stokes flows. Zbl 1294.35071 Miura, Hideyuki; Tsai, Tai-Peng 8 2012 Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136 Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng 7 2012 Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\). Zbl 1205.35294 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 41 2010 Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095 Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer 64 2009 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 63 2009 Global existence and blow-up for harmonic map heat flow. Zbl 1177.35104 Guan, Meijiao; Gustafson, Stephen; Tsai, Tai-Peng 12 2009 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068 Chen, Chiun-Chuan; Strain, Robert M.; Yau, Horng-Tzer; Tsai, Tai-Peng 58 2008 Asymptotic stability of harmonic maps under the Schrödinger flow. Zbl 1170.35091 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 29 2008 Global questions for map evolution equations. Zbl 1146.35083 Guan, Meijiao; Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 1 2008 Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041 Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 89 2007 Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. Zbl 1126.35042 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 64 2007 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 34 2007 Schrödinger flow near harmonic maps. Zbl 1144.53085 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 27 2007 Transient effects in oilfield cementing flows: Qualitative behaviour. Zbl 1153.76428 Moyers-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 1099.35134 Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 66 2006 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 40 2006 Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary. Zbl 1159.35396 Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 21 2006 Asymptotic stability and completeness in the energy space for nonlinear Schrödinger equations with small solitary waves. Zbl 1072.35167 Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 46 2004 Asymptotic dynamics of nonlinear Schrödinger equations with many bound states. Zbl 1038.35128 Tsai, Tai-Peng 22 2003 Stability and asymptotic stability for subcritical gKdV equations. Zbl 1017.35098 Martel, Yvan; Merle, Frank; Tsai, Tai-Peng 111 2002 Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137 Tsai, Tai-Peng; Yau, Horng-Tzer 68 2002 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015 Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 48 2002 Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120 Tsai, Tai-Peng; Yau, Horng-Tzer 41 2002 Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113 Tsai, Tai-Peng; Yau, Horng-Tzer 34 2002 Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034 Tsai, Tai-Peng; Yau, Horng-Tzer 28 2002 On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015 Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 20 2000 On the spatial decay of 3-D steady-state Navier-Stokes flows. Zbl 0971.35059 Šverák, Vladimír; Tsai, Tai-Peng 14 2000 On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543 Fröhlich, 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 0916.35084 Tsai, Tai-Peng 82 1998 all cited Publications top 5 cited Publications all top 5 Cited by 747 Authors 34 Tsai, Tai-Peng 29 Martel, Yvan 26 Cuccagna, Scipio 21 Chae, Dongho 21 Muñoz, Claudio 18 Merle, Frank 18 Raphael, Pierre 15 Kang, Kyungkeun 14 Ionescu, Alexandru D. 14 Wang, Yanqing 13 Maeda, Masaya 11 Bradshaw, Zachary 10 Côte, Raphaël 10 Pusateri, Fabio 10 Yang, Minsuk 9 Albritton, Dallas 9 Gustafson, Stephen J. 9 Nakanishi, Kenji 9 Pausader, Benoît 9 Sigal, Israel Michael 9 Wolf, Jörg 8 Barker, Tobias 8 Germain, Pierre 8 Lai, Baishun 8 Lei, Zhen 8 Miura, Hideyuki 8 Roudenko, Svetlana 8 Šverák, Vladimír 8 Wu, Gang 8 Zhang, Qi-Shuhuason 8 Zhang, Ting 7 Alejo, Miguel A. 7 Dong, Hongjie 7 Galdi, Giovanni Paolo 7 Jendrej, Jacek 7 Komech, Alexander Ilich 7 Kopylova, Elena A. 7 Kowalczyk, Michał 7 Le Coz, Stefan 7 Liu, Qiao 7 Liu, Yue 7 Pan, Xinghong 7 Phan, Tuoc Van 7 Prange, Christophe 7 Qu, Changzheng 7 Soffer, Avraham 7 Wang, Wendong 6 Audiard, Corentin 6 Guo, Yan 6 Holmer, Justin 6 Hou, Thomas Yizhao 6 Léger, Tristan 6 Lenzmann, Enno 6 Li, Ze 6 Miao, Changxing 6 Seregin, Gregory A. 6 Wang, Jun 6 Wang, Zhong 5 Chen, Gong 5 Choe, Hi Jun 5 Cingolani, Silvia 5 Collot, Charles 5 Farah, Luiz Gustavo 5 Farwig, Reinhard 5 Fernández-Dalgo, Pedro Gabriel 5 Fröhlich, Jürg Martin 5 Gravejat, Philippe 5 Guo, Boling 5 Lai, Chen-Chih 5 Lawrie, Andrew G. W. 5 Li, Gongbao 5 Liu, Xiaochuan 5 Liu, Xingxing 5 Palacios, José Manuel 5 Pelinovsky, Dmitry Efimovich 5 Vega, Luis 5 Wang, Youde 5 Xu, Guixiang 5 Zhang, Zhifei 5 Zhou, Daoguo 4 Arora, Anudeep Kumar 4 Banica, Valeria 4 Boussaid, Nabile 4 de Laire, André 4 Elgindi, Tarek Mohamed 4 Frigaard, Ian A. 4 Gang, Zhou 4 Georgiev, Vladimir S. 4 Ibrahim, Slim 4 Kenig, Carlos Eduardo 4 Kim, Jaemyoung 4 Korobkov, Mikhail V. 4 Krieger, Joachim 4 Lemarié-Rieusset, Pierre Gilles 4 Liu, Yanlin 4 Lührmann, Jonas 4 Maekawa, Yasunori 4 Molinet, Luc 4 Nakatsuka, Tomoyuki 4 Perelman, Galina ...and 647 more Authors all top 5 Cited in 156 Serials 62 Communications in Mathematical Physics 60 Journal of Differential Equations 42 Archive for Rational Mechanics and Analysis 34 Discrete and Continuous Dynamical Systems 33 Journal of Mathematical Fluid Mechanics 30 SIAM Journal on Mathematical Analysis 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Journal of Mathematical Physics 23 Communications in Partial Differential Equations 20 Journal of Functional Analysis 19 Nonlinearity 19 Advances in Mathematics 18 Journal of Mathematical Analysis and Applications 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Transactions of the American Mathematical Society 16 Calculus of Variations and Partial Differential Equations 13 Communications on Pure and Applied Mathematics 12 Physica D 10 Mathematische Annalen 10 Nonlinear Analysis. Real World Applications 10 Annals of PDE 9 Séminaire Laurent Schwartz. EDP et Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Dynamics and Differential Equations 8 Journal of Evolution Equations 7 Inventiones Mathematicae 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Communications on Pure and Applied Analysis 6 Applicable Analysis 6 Mathematical Methods in the Applied Sciences 6 Duke Mathematical Journal 6 Indiana University Mathematics Journal 6 Revista Matemática Iberoamericana 6 Annals of Mathematics. Second Series 6 Annales Henri Poincaré 6 Science China. Mathematics 5 Proceedings of the American Mathematical Society 5 Quarterly of Applied Mathematics 5 Acta Applicandae Mathematicae 5 Applied Mathematics Letters 5 Journal of Nonlinear Science 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Journal of Hyperbolic Differential Equations 4 Memoirs of the American Mathematical Society 4 Discrete and Continuous Dynamical Systems. Series B 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Analysis & PDE 4 Advances in Nonlinear Analysis 4 SN Partial Differential Equations and Applications 3 Journal d’Analyse Mathématique 3 Journal of Fluid Mechanics 3 Letters in Mathematical Physics 3 Russian Mathematical Surveys 3 Reviews in Mathematical Physics 3 Acta Mathematica 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 3 Journal of the American Mathematical Society 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications in Contemporary Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematics in Engineering 3 Pure and Applied Analysis 2 Journal of Engineering Mathematics 2 Journal of Statistical Physics 2 Annales de l’Institut Fourier 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 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 Chaos 2 Complex Variables and Elliptic Equations 2 Advances in Mathematical Physics 2 Forum of Mathematics, Sigma 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 Lithuanian Mathematical Journal 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 American Journal of Mathematics 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 Numerische Mathematik ...and 56 more Serials all top 5 Cited in 37 Fields 829 Partial differential equations (35-XX) 341 Fluid mechanics (76-XX) 114 Dynamical systems and ergodic theory (37-XX) 47 Quantum theory (81-XX) 35 Statistical mechanics, structure of matter (82-XX) 20 Optics, electromagnetic theory (78-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Numerical analysis (65-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Functional analysis (46-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Differential geometry (53-XX) 8 Mechanics of particles and systems (70-XX) 8 Relativity and gravitational theory (83-XX) 8 Geophysics (86-XX) 7 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year