Patrick Gérard

5.6k citations
112 papers · 3.5k · h-index 31

Impact in

    • Advanced Mathematical Physics Problems
    • Spectral Theory in Mathematical Physics
    • Navier-Stokes equation solutions
    • Mathematical Analysis and Transform Methods

Papers in

Patrick Gérard

105 papers receiving 3.1k citations

Peers

Patrick Gérard
Comparison fields: 5 of 71
  • Mathematical Physics 2.3k
  • Applied Mathematics 1.1k
  • Statistical and Nonlinear Physics 965
  • Computational Theory and Mathematics 580
  • Control and Systems Engineering 735
Replace Fritz Gesztesy with:
Fritz Gesztesy United States
J. M. Combes France
J. Levin United States
Thomas Hoffmann-Ostenhof Austria
Ira Herbst United States
Arnold F. Nikiforov Russia
Vasilii B. Uvarov Russia
Israel Michael Sigal Canada
Norbert J. Mauser Austria
Raphaël Høegh-Krohn Norway
Patrick Gérard relative to Fritz Gesztesy United States Fritz Gesztesy's profile →
Citations per field
00.5×8.4×
Fritz Gesztesy · 1×
Citations per year

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-authors

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.

Border = papers with Patrick Gérard Line = papers co-authored together Patrick Gérard links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 112 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1991342
2 1999264
3 2004220
4 1993168
5 1998137
6 1997131
7 198895
8 200791
9
Mesures semi-classiques et ondes de Bloch
199181
10 201078
11 199670
12 200669
13 200266
14 200665
15 199365
16 198762
17 200561
18 200761
19 200259
20 200453

About Patrick Gérard

Patrick Gérard is a scholar working on Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Computational Theory and Mathematics, having authored 112 papers that have together received 3.5k indexed citations. Recurring topics across this work include Advanced Mathematical Physics Problems (51 papers), Nonlinear Waves and Solitons (25 papers), Advanced Mathematical Modeling in Engineering (21 papers), Mathematical Analysis and Transform Methods (17 papers), Spectral Theory in Mathematical Physics (16 papers), Nonlinear Photonic Systems (13 papers), Quantum chaos and dynamical systems (12 papers) and Atomic and Molecular Physics (12 papers). The work is most often cited by research in Mathematical Physics (2.3k citations), Applied Mathematics (1.1k citations), Statistical and Nonlinear Physics (965 citations), Computational Theory and Mathematics (580 citations) and Control and Systems Engineering (735 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, F. J. Wuilleumier, Gilles Lebeau and M. O. Krause. Their work appears in journals such as Annales de l Institut Henri Poincaré C Analyse Non Linéaire, Communications on Pure and Applied Mathematics, Annales Scientifiques de l École Normale Supérieure, Communications in Partial Differential Equations and The Journal of Chemical Physics.

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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