Patrick Gérard

5.5k total citations
101 papers, 3.1k citations indexed

About

Patrick Gérard is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Patrick Gérard has authored 101 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 63 papers in Mathematical Physics, 36 papers in Applied Mathematics and 29 papers in Statistical and Nonlinear Physics. Recurrent topics in Patrick Gérard's work include Advanced Mathematical Physics Problems (46 papers), Nonlinear Waves and Solitons (23 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Patrick Gérard is often cited by papers focused on Advanced Mathematical Physics Problems (46 papers), Nonlinear Waves and Solitons (23 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Patrick Gérard collaborates with scholars based in France, United States and Switzerland. Patrick Gérard's co-authors include Nicolas Burq, Hajer Bahouri, Nikolay Tzvetkov, Sandrine Grellier, Éric Leichtnam, Clotilde Fermanian Kammerer, Serge Alinhac, Manfred O. Krause, Gilles Lebeau and M. O. Krause and has published in prestigious journals such as Physical Review Letters, The Journal of Chemical Physics and Physical review. B, Condensed matter.

In The Last Decade

Patrick Gérard

95 papers receiving 2.8k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Patrick Gérard France	30	2.0k	1.0k	867	668	660	101	3.1k
Thomas Bartsch Germany	41	3.0k 1.5×	4.7k 4.7×	508 0.6×	517 0.8×	717 1.1×	137	6.2k
Fritz Gesztesy United States	38	3.2k 1.6×	1.2k 1.2×	2.1k 2.5×	75 0.1×	1.2k 1.8×	219	4.9k
J. Levin United States	23	198 0.1×	488 0.5×	84 0.1×	199 0.3×	472 0.7×	53	1.4k
Anton Arnold Austria	24	400 0.2×	513 0.5×	448 0.5×	96 0.1×	656 1.0×	93	2.0k
Helmut Hofer United States	33	1.9k 0.9×	1.3k 1.3×	394 0.5×	56 0.1×	72 0.1×	105	3.4k
J. M. Combes France	22	1.1k 0.5×	96 0.1×	828 1.0×	19 0.0×	1.9k 2.9×	38	3.0k
Norbert J. Mauser Austria	25	709 0.3×	364 0.4×	475 0.5×	44 0.1×	831 1.3×	92	1.9k
Fernando Haas Brazil	23	626 0.3×	246 0.2×	525 0.6×	24 0.0×	2.9k 4.4×	96	4.1k
B. C. Carlson United States	25	85 0.0×	1.2k 1.2×	135 0.2×	26 0.0×	544 0.8×	80	2.6k
Raphaël Høegh-Krohn Norway	25	2.0k 1.0×	602 0.6×	1.1k 1.2×	56 0.1×	1.1k 1.7×	70	3.2k

Countries citing papers authored by Patrick Gérard

Since Specialization

Citations

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

Fields of papers citing papers by Patrick Gérard

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Gérard

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Gérard. A scholar is included among the top collaborators of Patrick Gérard 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 Patrick Gérard. Patrick Gérard is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Gérard, Patrick & Enno Lenzmann. (2025). Global well-posedness and soliton resolution for the half-wave maps equation with rational data. Forum of Mathematics Sigma. 13.

Gérard, Patrick & Alexander Pushnitski. (2024). An inverse problem for Hankel operators and turbulent solutions of the cubic Szegő equation on the line. Journal of the European Mathematical Society. 27(11). 4591–4648. 1 indexed citations

Gérard, Patrick. (2023). The Lax pair structure for the spin Benjamin–Ono equation. Advances in Continuous and Discrete Models. 2023(1). 6 indexed citations

Gérard, Patrick, Thomas Kappeler, & Peter Topalov. (2023). Sharp well-posedness results of the Benjamin–Ono equation in $H^s (\mathbb{T}, \mathbb{R})$ and qualitative properties of its solutions. Acta Mathematica. 231(1). 31–88. 13 indexed citations

Gérard, Patrick, Thomas Kappeler, & Peter Topalov. (2022). On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions. Journal of Spectral Theory. 12(1). 169–193. 8 indexed citations

Gérard, Patrick & Sandrine Grellier. (2015). On the growth of Sobolev norms for the cubic Szegő equation. 13(2). 1–20. 1 indexed citations

Gérard, Patrick, et al.. (2010). A mean-field toy model for resonant transport. Kinetic and Related Models. 3(2). 299–309. 2 indexed citations

Gérard, Patrick & Sandrine Grellier. (2009). L’équation de Szegö cubique. French digital mathematics library (Numdam). 1–19. 4 indexed citations

Gérard, Patrick & Zhifei Zhang. (2008). Orbital stability of traveling waves for the one-dimensional Gross–Pitaevskii equation. Journal de Mathématiques Pures et Appliquées. 91(2). 178–210. 25 indexed citations

10.

Alinhac, Serge & Patrick Gérard. (2007). Pseudo-differential Operators and the Nash–Moser Theorem. Graduate studies in mathematics. 85 indexed citations

11.

Gérard, Patrick. (2004). Équations de champ moyen pour la dynamique quantique d’un grand nombre de particules. Astérisque. 46. 147–164. 1 indexed citations

12.

Burq, Nicolas, Patrick Gérard, & Nikolay Tzvetkov. (2004). Multilinear estimates for the Laplace spectral projectors on compact manifolds. Comptes Rendus Mathématique. 338(5). 359–364. 8 indexed citations

13.

Burq, Nicolas, Patrick Gérard, & Nikolay Tzvetkov. (2003). Inégalités de Sogge bilinéaires et équation de Schrödinger non linéaire. French digital mathematics library (Numdam). 1–22. 1 indexed citations

14.

Kammerer, Clotilde Fermanian & Patrick Gérard. (2002). Une formule de Landau–Zener pour un croisement non dégénéré et involutif de codimension 3. French digital mathematics library (Numdam). 1 indexed citations

15.

Meyer, Yves, et al.. (1997). Inégalités de Sobolev précisées. French digital mathematics library (Numdam). 1–8. 17 indexed citations

16.

Gérard, Patrick. (1996). Oscillations and Concentration Effects in Semilinear Dispersive Wave Equations. Journal of Functional Analysis. 141(1). 60–98. 62 indexed citations

17.

Gérard, Patrick. (1993). Remarques sur l'analyse semi-classique de l'équation de Schrödinger non linéaire. French digital mathematics library (Numdam). 1–11. 20 indexed citations

18.

Gérard, Patrick. (1991). Mesures semi-classiques et ondes de Bloch. French digital mathematics library (Numdam). 1–19. 70 indexed citations

19.

Gérard, Patrick. (1988). Solutions globales du problème de Cauchy pour l'équation de Boltzmann. French digital mathematics library (Numdam). 30. 257–281. 5 indexed citations

20.

Gérard, Patrick. (1987). Moyennes de solutions d'équations aux dérivées partielles. French digital mathematics library (Numdam). 1–9. 6 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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