Philippe Gravejat

681 total citations
21 papers, 329 citations indexed

About

Philippe Gravejat is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Philippe Gravejat has authored 21 papers receiving a total of 329 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Mathematical Physics, 14 papers in Statistical and Nonlinear Physics and 11 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Philippe Gravejat's work include Advanced Mathematical Physics Problems (17 papers), Nonlinear Photonic Systems (14 papers) and Cold Atom Physics and Bose-Einstein Condensates (11 papers). Philippe Gravejat is often cited by papers focused on Advanced Mathematical Physics Problems (17 papers), Nonlinear Photonic Systems (14 papers) and Cold Atom Physics and Bose-Einstein Condensates (11 papers). Philippe Gravejat collaborates with scholars based in France. Philippe Gravejat's co-authors include Fabrice Béthuel, Didier Smets, Jean‐Claude Saut, Éric Séré, Mathieu Lewin and Dirk Smets and has published in prestigious journals such as Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Philippe Gravejat

19 papers receiving 296 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Philippe Gravejat France 13 264 249 95 59 14 21 329
Spyridon Kamvissis Greece 10 213 0.8× 286 1.1× 78 0.8× 46 0.8× 4 0.3× 21 360
Dirk Hundertmark United States 13 389 1.5× 139 0.6× 88 0.9× 187 3.2× 17 1.2× 42 456
Zaher Hani United States 10 249 0.9× 175 0.7× 40 0.4× 68 1.2× 34 2.4× 12 286
Yuri Safarov United Kingdom 7 151 0.6× 57 0.2× 31 0.3× 62 1.1× 22 1.6× 9 201
Claudio Cacciapuoti Italy 11 290 1.1× 196 0.8× 79 0.8× 53 0.9× 46 3.3× 28 363
Valeria Banica France 11 179 0.7× 91 0.4× 23 0.2× 88 1.5× 27 1.9× 27 232
Ivan Veselić Germany 10 286 1.1× 80 0.3× 29 0.3× 32 0.5× 46 3.3× 47 336
Jean-Luc Joly France 10 145 0.5× 87 0.3× 32 0.3× 84 1.4× 29 2.1× 19 229
Tetsu Mizumachi Japan 13 325 1.2× 292 1.2× 38 0.4× 40 0.7× 54 3.9× 29 373
Christian Remling Germany 14 387 1.5× 80 0.3× 36 0.4× 194 3.3× 11 0.8× 36 436

Countries citing papers authored by Philippe Gravejat

Since Specialization
Citations

This map shows the geographic impact of Philippe Gravejat'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 Philippe Gravejat with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philippe Gravejat more than expected).

Fields of papers citing papers by Philippe Gravejat

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philippe Gravejat. 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 Philippe Gravejat. The network helps show where Philippe Gravejat may publish in the future.

Co-authorship network of co-authors of Philippe Gravejat

This figure shows the co-authorship network connecting the top 25 collaborators of Philippe Gravejat. A scholar is included among the top collaborators of Philippe Gravejat 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 Philippe Gravejat. Philippe Gravejat 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.
Gravejat, Philippe, et al.. (2025). Minimizing travelling waves for the Gross–Pitaevskii equation on × 𝕋 . Annales de la faculté des sciences de Toulouse Mathématiques. 34(1). 135–192.
2.
Gravejat, Philippe, et al.. (2024). Construction of minimizing traveling waves forthe Gross–Pitaevskii equation on ℝ × 𝕋. SPIRE - Sciences Po Institutional REpository. 6(1). 157–188. 3 indexed citations
3.
Gravejat, Philippe, et al.. (2023). Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation. Indiana University Mathematics Journal. 72(2). 603–650. 5 indexed citations
4.
Gravejat, Philippe, et al.. (2022). On the stability of the Ginzburg–Landau vortex. Proceedings of the London Mathematical Society. 125(5). 1015–1065.
5.
Gravejat, Philippe & Didier Smets. (2017). Smooth Travelling-Wave Solutions to the Inviscid Surface Quasi-Geostrophic Equation. International Mathematics Research Notices. 2019(6). 1744–1757. 21 indexed citations
6.
Béthuel, Fabrice, Philippe Gravejat, & Didier Smets. (2015). Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation. Annales Scientifiques de l École Normale Supérieure. 48(6). 1327–1381. 22 indexed citations
7.
Gravejat, Philippe & Didier Smets. (2015). Asymptotic stability of the black soliton for the Gross–Pitaevskii equation. Proceedings of the London Mathematical Society. 111(2). 305–353. 23 indexed citations
8.
Béthuel, Fabrice, Philippe Gravejat, & Dirk Smets. (2014). Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation. Annales de l’institut Fourier. 64(1). 19–70. 13 indexed citations
9.
Gravejat, Philippe, et al.. (2014). Stability in the energy space for chains of solitons of the Landau–Lifshitz equation. Journal of Differential Equations. 258(1). 1–80. 8 indexed citations
10.
Gravejat, Philippe, et al.. (2013). Construction of the Pauli–Villars-Regulated Dirac Vacuum in Electromagnetic Fields. Archive for Rational Mechanics and Analysis. 208(2). 603–665. 5 indexed citations
11.
Béthuel, Fabrice, Philippe Gravejat, Jean‐Claude Saut, & Didier Smets. (2009). On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation II. Communications in Partial Differential Equations. 35(1). 113–164. 18 indexed citations
12.
Béthuel, Fabrice, Philippe Gravejat, & Jean‐Claude Saut. (2008). Travelling Waves for the Gross-Pitaevskii Equation II. Communications in Mathematical Physics. 285(2). 567–651. 65 indexed citations
13.
Gravejat, Philippe, Mathieu Lewin, & Éric Séré. (2008). Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms. Communications in Mathematical Physics. 286(1). 179–215. 13 indexed citations
14.
Béthuel, Fabrice, Philippe Gravejat, & Jean‐Claude Saut. (2008). On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Dynamics of Partial Differential Equations. 5(3). 241–280. 17 indexed citations
15.
Gravejat, Philippe. (2006). First order asymptotics for the travelling waves in the Gross-Pitaevskii equation. Advances in Differential Equations. 11(3). 12 indexed citations
16.
Gravejat, Philippe. (2005). Asymptotics for the travelling waves in the Gross–Pitaevskii equation. Asymptotic Analysis. 45(3-4). 227–299. 16 indexed citations
17.
Gravejat, Philippe. (2004). Decay for travelling waves in the Gross–Pitaevskii equation. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 21(5). 591–637. 25 indexed citations
18.
Gravejat, Philippe. (2004). Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation. Differential and Integral Equations. 17(11-12). 19 indexed citations
19.
Gravejat, Philippe. (2003). Limit at infinity for travelling waves in the Gross–Pitaevskii equation. Comptes Rendus Mathématique. 336(2). 147–152. 10 indexed citations
20.
Gravejat, Philippe. (2003). A Non-Existence Result for Supersonic Travelling Waves in the Gross-Pitaevskii Equation. Communications in Mathematical Physics. 243(1). 93–103. 26 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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