Patrick Gérard
Impact in
- Mathematical Physics top 0.2%
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics
- Applied Mathematics top 0.5%
- Mathematical Analysis and Transform Methods
- Navier-Stokes equation solutions
Papers in
-
- Advanced Mathematical Physics Problems 46
- Spectral Theory in Mathematical Physics 14
-
- Mathematical Analysis and Transform Methods 16
- Co-authors
- Nicolas BurqHajer BahouriNikolay TzvetkovSandrine GrellierÉric LeichtnamClotilde Fermanian KammererSerge AlinhacManfred O. Krause
- Journals
- Annales de l Institut Henri Poincaré C Analyse Non Linéaire (4 papers)Communications in Partial Differential Equations (3 papers)Communications on Pure and Applied Mathematics (3 papers)The Journal of Chemical Physics (3 papers)Physical Review Letters (3 papers)
- Partner nations
- FranceUnited StatesSwitzerland
In The Last Decade
Patrick Gérard
95 papers receiving 2.8k citations
Peers
Comparison fields: 5 of 71
- Mathematical Physics 2.0k
- Applied Mathematics 1.0k
- Statistical and Nonlinear Physics 867
- Computational Theory and Mathematics 517
- Control and Systems Engineering 668
Countries citing papers authored by Patrick Gérard
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
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
The 25 scholars most cited alongside Patrick Gérard, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2025 | 0 | |
| 2 | 2024 | 1 | |
| 3 | 2023 | 6 | |
| 4 | 2023 | 13 | |
| 5 | 2022 | 8 | |
| 6 | On the growth of Sobolev norms for the cubic Szegő equation | 2015 | 1 |
| 7 | 2010 | 2 | |
| 8 | L’équation de Szegö cubique | 2009 | 4 |
| 9 | 2008 | 25 | |
| 10 | 2007 | 85 | |
| 11 | Équations de champ moyen pour la dynamique quantique d’un grand nombre de particules | 2004 | 1 |
| 12 | 2004 | 8 | |
| 13 | Inégalités de Sogge bilinéaires et équation de Schrödinger non linéaire | 2003 | 1 |
| 14 | 2002 | 1 | |
| 15 | Inégalités de Sobolev précisées | 1997 | 17 |
| 16 | 1996 | 62 | |
| 17 | Remarques sur l'analyse semi-classique de l'équation de Schrödinger non linéaire | 1993 | 20 |
| 18 | Mesures semi-classiques et ondes de Bloch | 1991 | 70 |
| 19 | Solutions globales du problème de Cauchy pour l'équation de Boltzmann | 1988 | 5 |
| 20 | Moyennes de solutions d'équations aux dérivées partielles | 1987 | 6 |
About Patrick Gérard
Patrick Gérard is a scholar working on Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Surfaces, Coatings and Films and Computational Theory and Mathematics, having authored 101 papers that have together received 3.1k indexed citations. Recurring topics across this work include Advanced Mathematical Physics Problems (46 papers), Nonlinear Waves and Solitons (23 papers), Advanced Mathematical Modeling in Engineering (18 papers), Mathematical Analysis and Transform Methods (16 papers), Spectral Theory in Mathematical Physics (14 papers), Atomic and Molecular Physics (12 papers), Nonlinear Photonic Systems (12 papers) and Electron and X-Ray Spectroscopy Techniques (10 papers). The work is most often cited by research in Mathematical Physics (2.0k citations), Applied Mathematics (1.0k citations), Statistical and Nonlinear Physics (867 citations), Computational Theory and Mathematics (517 citations) and Control and Systems Engineering (668 citations). Patrick Gérard has collaborated with scholars based in France, United States and Switzerland. Frequent 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. Their work appears in journals such as Annales de l Institut Henri Poincaré C Analyse Non Linéaire, Communications in Partial Differential Equations, Communications on Pure and Applied Mathematics, The Journal of Chemical Physics and Physical Review Letters.
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.