Edit Profile (opens in new tab) Gustafson, Stephen J. Compute Distance To: Compute Author ID: gustafson.stephen-j Published as: Gustafson, Stephen; Gustafson, S.; Gustafson, Stephen J. Homepage: https://www.math.ubc.ca/~gustaf/ External Links: MGP Documents Indexed: 35 Publications since 1997, including 3 Books Co-Authors: 16 Co-Authors with 29 Joint Publications 434 Co-Co-Authors all top 5 Co-Authors 5 single-authored 13 Tsai, Tai-Peng 8 Sigal, Israel Michael 6 Nakanishi, Kenji 5 Kang, Kyungkeun 3 Guan, Meijiao 2 Coles, Matt 2 Fröhlich, Jürg Martin 2 Jonsson, B. Lars G. 2 Roxanas, Dimitrios 1 Chang, Shu-Ming 1 Comech, Andrew 1 Le Coz, Stefan 1 Phan, Tuoc Van 1 Shatah, Jalal 1 Ting, Fan 1 Tzaneteas, Tim all top 5 Serials 4 Communications in Mathematical Physics 3 Journal of Differential Equations 3 Universitext 2 Communications on Pure and Applied Mathematics 2 IMRN. International Mathematics Research Notices 2 SIAM Journal on Mathematical Analysis 2 Annales Henri Poincaré 1 Journal of Mathematical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Nonlinear Science 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 AMRX. Applied Mathematics Research eXpress all top 5 Fields 32 Partial differential equations (35-XX) 13 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Special functions (33-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 613 times in 454 Documents Cited by ▼ Year ▼ Spectra of linearized operators for NLS solitary waves. Zbl 1168.35041Chang, Shu-Ming; Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 65 2007 Solitary wave dynamics in an external potential. Zbl 1075.35075Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 52 2004 Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. Zbl 1126.35042Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 49 2007 Scattering theory for the Gross-Pitaevskii equation in three dimensions. Zbl 1180.35481Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 48 2009 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 Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002Gustafson, Stephen J.; Sigal, Israel Michael 36 2011 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2006 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Zbl 1375.35485Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2007 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 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 24 2006 Schrödinger flow near harmonic maps. Zbl 1144.53085Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 24 2007 Effective dynamics of magnetic vortices. Zbl 1081.35102Gustafson, S.; Sigal, I. M. 24 2006 Asymptotic stability of harmonic maps under the Schrödinger flow. Zbl 1170.35091Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai-Peng 21 2008 The stability of magnetic vortices. Zbl 0955.58015Gustafson, S.; Sigal, I. M. 20 2000 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 Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033Gustafson, S.; Sigal, I. M.; Tzaneteas, T. 16 2010 The stability of localized solutions of Landau-Lifshitz equations. Zbl 1028.35059Gustafson, Stephen; Shatah, Jalal 15 2002 Mathematical concepts of quantum mechanics. Zbl 1033.81004Gustafson, Stephen J.; Sigal, Israel Michael 15 2003 Stability of periodic waves of 1D cubic nonlinear Schrödinger equations. Zbl 1403.35277Gustafson, Stephen; Le Coz, Stefan; Tsai, Tai-Peng 12 2017 On linear instability of solitary waves for the nonlinear Dirac equation. Zbl 1297.35029Comech, Andrew; Guan, Meijiao; Gustafson, Stephen 11 2014 Global existence and blow-up for harmonic map heat flow. Zbl 1177.35104Guan, Meijiao; Gustafson, Stephen; Tsai, Tai-Peng 11 2009 Symmetric solutions of the Ginzburg-Landau equation in all dimensions. Zbl 0883.35041Gustafson, S. 7 1997 Dynamic stability of magnetic vortices. Zbl 1010.35007Gustafson, S. 6 2002 Stable directions for degenerate excited states of nonlinear Schrödinger equations. Zbl 1230.35129Gustafson, Stephen; Phan, Tuoc Van 6 2011 Dynamic stability and instability of pinned fundamental vortices. Zbl 1180.35496Gustafson, S.; Ting, F. 4 2009 Global, decaying solutions of a focusing energy-critical heat equation in \(\mathbb{R}^4\). Zbl 1391.35173Gustafson, Stephen; Roxanas, Dimitrios 2 2018 Symmetric solutions of Ginzburg-Landau equations. Zbl 0904.35084Gustafson, S. 1 1998 A degenerate edge bifurcation in the 1D linearized nonlinear Schrödinger equation. Zbl 1335.35229Coles, Matt; Gustafson, Stephen 1 2016 Solitary waves and dynamics for subcritical perturbations of energy critical NLS. Zbl 1462.35350Coles, Matt; Gustafson, Stephen 1 2020 Solitary waves and dynamics for subcritical perturbations of energy critical NLS. Zbl 1462.35350Coles, Matt; Gustafson, Stephen 1 2020 Global, decaying solutions of a focusing energy-critical heat equation in \(\mathbb{R}^4\). Zbl 1391.35173Gustafson, Stephen; Roxanas, Dimitrios 2 2018 Stability of periodic waves of 1D cubic nonlinear Schrödinger equations. Zbl 1403.35277Gustafson, Stephen; Le Coz, Stefan; Tsai, Tai-Peng 12 2017 A degenerate edge bifurcation in the 1D linearized nonlinear Schrödinger equation. Zbl 1335.35229Coles, Matt; Gustafson, Stephen 1 2016 On linear instability of solitary waves for the nonlinear Dirac equation. Zbl 1297.35029Comech, Andrew; Guan, Meijiao; Gustafson, Stephen 11 2014 Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002Gustafson, Stephen J.; Sigal, Israel Michael 36 2011 Stable directions for degenerate excited states of nonlinear Schrödinger equations. Zbl 1230.35129Gustafson, Stephen; Phan, Tuoc Van 6 2011 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 Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033Gustafson, S.; Sigal, I. M.; Tzaneteas, T. 16 2010 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 Dynamic stability and instability of pinned fundamental vortices. Zbl 1180.35496Gustafson, S.; Ting, F. 4 2009 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 Scattering for the Gross-Pitaevskii equation. Zbl 1119.35084Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng 30 2006 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 24 2006 Effective dynamics of magnetic vortices. Zbl 1081.35102Gustafson, S.; Sigal, I. M. 24 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 Solitary wave dynamics in an external potential. Zbl 1075.35075Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 52 2004 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 Mathematical concepts of quantum mechanics. Zbl 1033.81004Gustafson, Stephen J.; Sigal, Israel Michael 15 2003 The stability of localized solutions of Landau-Lifshitz equations. Zbl 1028.35059Gustafson, Stephen; Shatah, Jalal 15 2002 Dynamic stability of magnetic vortices. Zbl 1010.35007Gustafson, S. 6 2002 The stability of magnetic vortices. Zbl 0955.58015Gustafson, S.; Sigal, I. M. 20 2000 Symmetric solutions of Ginzburg-Landau equations. Zbl 0904.35084Gustafson, S. 1 1998 Symmetric solutions of the Ginzburg-Landau equation in all dimensions. Zbl 0883.35041Gustafson, S. 7 1997 all cited Publications top 5 cited Publications all top 5 Cited by 515 Authors 25 Sigal, Israel Michael 15 Cuccagna, Scipio 14 Ionescu, Alexandru D. 14 Raphael, Pierre 12 Wang, Yanqing 11 Gustafson, Stephen J. 10 Maeda, Masaya 9 Wei, Juncheng 8 Martel, Yvan 8 Muñoz, Claudio 8 Yang, Minsuk 7 Holmer, Justin 7 Merle, Frank 7 Pausader, Benoît 6 Bambusi, Dario 6 Comech, Andrew 6 Fröhlich, Jürg Martin 6 Guo, Boling 6 Kang, Kyungkeun 6 Le Coz, Stefan 6 Pusateri, Fabio 6 Squassina, Marco 6 Tsai, Tai-Peng 6 Wang, Youde 6 Wu, Gang 5 Boussaid, Nabile 5 Choe, Hi Jun 5 Collot, Charles 5 Dong, Hongjie 5 Lenzmann, Enno 5 Nakanishi, Kenji 5 Soffer, Avraham 5 Wolf, Jörg 4 Banica, Valeria 4 Dejak, Steven I. 4 Donninger, Roland 4 Farah, Luiz Gustavo 4 Frank, Rupert L. 4 Gang, Zhou 4 Germain, Pierre 4 Ghimenti, Marco G. 4 Kowalczyk, Michał 4 Li, Gongbao 4 Li, Ze 4 Liu, Qiao 4 Marzuola, Jeremy L. 4 Phan, Tuoc Van 4 Roudenko, Svetlana 4 Saut, Jean-Claude 4 Schlag, Wilhelm 4 Spirn, Daniel P. 4 Ting, Fan 4 Vega, Luis 4 Wang, Wendong 4 Xiang, Changlin 4 Yang, Ganshan 4 Zarnescu, Arghir Dani 4 Zhang, Zhifei 4 Zhou, Daoguo 3 Abou-Salem, Walid K. 3 Adami, Riccardo 3 Audiard, Corentin 3 Bejenaru, Ioan 3 Cacciapuoti, Claudio 3 Chae, Dongho 3 d’Avenia, Pietro 3 de Suzzoni, Anne-Sophie 3 Del Pino, Manuel A. 3 Deng, Qingquan 3 Faupin, Jérémy 3 Georgiev, Vladimir S. 3 Guo, Yan 3 Jerrard, Robert Leon 3 Jiu, Quansen 3 Jonsson, B. Lars G. 3 Kim, Jaemyoung 3 Krieger, Joachim 3 Mashkin, Timur 3 Noja, Diego 3 Pelinovsky, Dmitry Efimovich 3 Pisante, Adriano 3 Pu, Xueke 3 Seiringer, Robert 3 Shatah, Jalal 3 Stanislavova, Milena 3 Stefanov, Atanas G. 3 Stuart, David M. A. 3 Sun, Xiaowei 3 Szeftel, Jérémie 3 Tarulli, Mirko 3 Tataru, Daniel 3 Tzaneteas, Tim 3 Wang, Yuexun 3 Yang, Yisong 3 Yao, Xiaohua 3 Yu, Yong 3 Zeng, Chongchun 3 Zhao, Lifeng 2 Alejo, Miguel A. 2 Babin, Anatoli V. ...and 415 more Authors all top 5 Cited in 120 Serials 44 Communications in Mathematical Physics 28 Journal of Differential Equations 20 Archive for Rational Mechanics and Analysis 18 Journal of Mathematical Physics 17 SIAM Journal on Mathematical Analysis 17 Discrete and Continuous Dynamical Systems 15 Journal of Mathematical Analysis and Applications 14 Journal of Functional Analysis 10 Advances in Mathematics 10 Physica D 8 Communications on Pure and Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Communications in Partial Differential Equations 8 Calculus of Variations and Partial Differential Equations 7 Nonlinearity 6 Journal of the European Mathematical Society (JEMS) 6 Séminaire Laurent Schwartz. EDP et Applications 5 Letters in Mathematical Physics 5 Reviews in Mathematical Physics 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Journal of Nonlinear Science 5 Annales Henri Poincaré 5 Communications on Pure and Applied Analysis 4 Applicable Analysis 4 Journal of Statistical Physics 4 Quarterly of Applied Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Evolution Equations 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Journal d’Analyse Mathématique 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Memoirs of the American Mathematical Society 3 Journal of the American Mathematical Society 3 European Journal of Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 3 Communications in Contemporary Mathematics 3 Science China. Mathematics 2 Mathematical Methods in the Applied Sciences 2 Russian Mathematical Surveys 2 Duke Mathematical Journal 2 Applied Mathematics Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 St. Petersburg Mathematical Journal 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Hyperbolic Differential Equations 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Bulletin of Mathematical Sciences 2 Annals of PDE 2 Annales Henri Lebesgue 1 Computer Physics Communications 1 Journal of Computational Physics 1 Mathematics of Computation 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Automated Reasoning 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Differential Equations 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Regular and Chaotic Dynamics 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems ...and 20 more Serials all top 5 Cited in 40 Fields 408 Partial differential equations (35-XX) 97 Fluid mechanics (76-XX) 75 Quantum theory (81-XX) 55 Dynamical systems and ergodic theory (37-XX) 52 Statistical mechanics, structure of matter (82-XX) 25 Global analysis, analysis on manifolds (58-XX) 18 Optics, electromagnetic theory (78-XX) 16 Operator theory (47-XX) 16 Numerical analysis (65-XX) 12 Differential geometry (53-XX) 10 Functional analysis (46-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Ordinary differential equations (34-XX) 5 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Relativity and gravitational theory (83-XX) 5 Biology and other natural sciences (92-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 4 Geophysics (86-XX) 3 Statistics (62-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year