Stephen J. Gustafson

1.6k total citations
32 papers, 762 citations indexed

About

Stephen J. Gustafson is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Stephen J. Gustafson has authored 32 papers receiving a total of 762 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 19 papers in Statistical and Nonlinear Physics and 5 papers in Applied Mathematics. Recurrent topics in Stephen J. Gustafson's work include Advanced Mathematical Physics Problems (24 papers), Nonlinear Photonic Systems (15 papers) and Nonlinear Waves and Solitons (13 papers). Stephen J. Gustafson is often cited by papers focused on Advanced Mathematical Physics Problems (24 papers), Nonlinear Photonic Systems (15 papers) and Nonlinear Waves and Solitons (13 papers). Stephen J. Gustafson collaborates with scholars based in Canada, Japan and United States. Stephen J. Gustafson's co-authors include Tai‐Peng Tsai, Israel Michael Sigal, Kenji Nakanishi, B. L. G. Jonsson, Jürg Fröhlich, Kyungkeun Kang, Shu-Ming Chang, Jalal Shatah, Stefan Le Coz and Andrew Comech and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Journal of Differential Equations.

In The Last Decade

Stephen J. Gustafson

31 papers receiving 687 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Stephen J. Gustafson Canada 17 578 420 191 130 89 32 762
Alexander Komech Russia 18 700 1.2× 485 1.2× 94 0.5× 137 1.1× 148 1.7× 87 850
Atanas Stefanov United States 17 497 0.9× 402 1.0× 226 1.2× 126 1.0× 127 1.4× 65 739
Benoît Grébert France 15 542 0.9× 551 1.3× 68 0.4× 147 1.1× 66 0.7× 62 786
Jeremy L. Marzuola United States 13 400 0.7× 221 0.5× 118 0.6× 117 0.9× 67 0.8× 64 574
A. Shadi Tahvildar‐Zadeh United States 13 616 1.1× 205 0.5× 367 1.9× 34 0.3× 134 1.5× 24 729
Dario Bambusi Italy 19 645 1.1× 1.2k 2.8× 47 0.2× 247 1.9× 128 1.4× 75 1.3k
Vladimir Georgescu France 16 696 1.2× 222 0.5× 225 1.2× 192 1.5× 22 0.2× 34 847
Nicholas M. Ercolani United States 18 288 0.5× 632 1.5× 132 0.7× 193 1.5× 22 0.2× 51 1.0k
Guido Gentile Italy 18 251 0.4× 668 1.6× 39 0.2× 129 1.0× 87 1.0× 70 855
Hellmut Baumgärtel Germany 12 278 0.5× 178 0.4× 167 0.9× 186 1.4× 39 0.4× 53 618

Countries citing papers authored by Stephen J. Gustafson

Since Specialization
Citations

This map shows the geographic impact of Stephen J. Gustafson's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Stephen J. Gustafson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stephen J. Gustafson more than expected).

Fields of papers citing papers by Stephen J. Gustafson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen J. Gustafson. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Stephen J. Gustafson. The network helps show where Stephen J. Gustafson may publish in the future.

Co-authorship network of co-authors of Stephen J. Gustafson

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen J. Gustafson. A scholar is included among the top collaborators of Stephen J. Gustafson based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Stephen J. Gustafson. Stephen J. Gustafson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
2.
Gustafson, Stephen J., et al.. (2022). Threshold odd solutions to the nonlinear Schrödinger equation in one dimension. Partial Differential Equations and Applications. 3(4). 3 indexed citations
3.
Gustafson, Stephen J., et al.. (2018). Global, decaying solutions of a focusing energy-critical heat equation in R4. Journal of Differential Equations. 264(9). 5894–5927. 6 indexed citations
4.
Gustafson, Stephen J., Stefan Le Coz, & Tai‐Peng Tsai. (2016). Stability of periodic waves of 1D cubic nonlinear Schr{\\"o}dinger\n equations. arXiv (Cornell University). 18 indexed citations
5.
Gustafson, Stephen J. & Israel Michael Sigal. (2011). Mathematical Concepts of Quantum Mechanics. Universitext. 39 indexed citations
6.
Gustafson, Stephen J., et al.. (2010). Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings. Journal of Mathematical Physics. 51(1). 15 indexed citations
7.
Gustafson, Stephen J., Hideo Takaoka, & Tai‐Peng Tsai. (2009). Stability in H1/2 of the sum of K solitons for the Benjamin–Ono equation. Journal of Mathematical Physics. 50(1). 5 indexed citations
8.
Gustafson, Stephen J., Kenji Nakanishi, & Tai‐Peng Tsai. (2009). SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS. Communications in Contemporary Mathematics. 11(4). 657–707. 67 indexed citations
9.
Gustafson, Stephen J., et al.. (2008). Global existence and blow-up for harmonic map heat flow. Journal of Differential Equations. 246(1). 1–20. 15 indexed citations
10.
Gustafson, Stephen J., Kyungkeun Kang, & Tai‐Peng Tsai. (2008). Asymptotic stability of harmonic maps under the Schrödinger flow. Duke Mathematical Journal. 145(3). 27 indexed citations
11.
Chang, Shu-Ming, Stephen J. Gustafson, Kenji Nakanishi, & Tai‐Peng Tsai. (2007). Spectra of Linearized Operators for NLS Solitary Waves. SIAM Journal on Mathematical Analysis. 39(4). 1070–1111. 96 indexed citations
12.
Gustafson, Stephen J., Kenji Nakanishi, & Tai‐Peng Tsai. (2006). Scattering for the Gross-Pitaevskii equation. Mathematical Research Letters. 13(2). 273–285. 43 indexed citations
13.
Gustafson, Stephen J., Kyungkeun Kang, & Tai‐Peng Tsai. (2006). Regularity criteria for suitable weak solutions of the Navier–Stokes equations near the boundary. Journal of Differential Equations. 226(2). 594–618. 25 indexed citations
14.
Gustafson, Stephen J., Kyungkeun Kang, & Tai‐Peng Tsai. (2006). Schrödinger flow near harmonic maps. Communications on Pure and Applied Mathematics. 60(4). 463–499. 25 indexed citations
15.
Gustafson, Stephen J. & Israel Michael Sigal. (2005). Effective dynamics of magnetic vortices. Advances in Mathematics. 199(2). 448–498. 26 indexed citations
16.
Fröhlich, Jürg, Stephen J. Gustafson, B. L. G. Jonsson, & Israel Michael Sigal. (2004). Solitary Wave Dynamics in an External Potential. Communications in Mathematical Physics. 250(3). 613–642. 84 indexed citations
17.
Gustafson, Stephen J., Kenji Nakanishi, & Tai‐Peng Tsai. (2004). . International Mathematics Research Notices. 2004(66). 3559–3559. 52 indexed citations
18.
Gustafson, Stephen J. & Jalal Shatah. (2002). The stability of localized solutions of Landau‐Lifshitz equations. Communications on Pure and Applied Mathematics. 55(9). 1136–1159. 25 indexed citations
19.
Gustafson, Stephen J.. (2002). Dynamic stability of magnetic vortices. Nonlinearity. 15(5). 1717–1728. 9 indexed citations
20.
Gustafson, Stephen J.. (1997). . International Mathematics Research Notices. 1997(16). 807–807. 16 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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