Raphaël Danchin
Impact in
- Mathematical Physics top 0.05%
- Advanced Mathematical Physics Problems
- Applied Mathematics top 0.05%
- Navier-Stokes equation solutions
- Nonlinear Partial Differential Equations
Papers in
-
- Navier-Stokes equation solutions 78
- Nonlinear Partial Differential Equations 10
- Gas Dynamics and Kinetic Theory 8
- Geometric Analysis and Curvature Flows 7
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- Advanced Mathematical Physics Problems 67
- Co-authors
- Jean-Yves Chemin (3 shared papers)Hajer Bahouri (3 shared papers)Marius Paicu (4 shared papers)Piotr B. Mucha (11 shared papers)Benoı̂t Desjardins (1 shared paper)Frédéric Charve (2 shared papers)Sylvie Benzoni-Gavage (3 shared papers)Stéphane Descombes (3 shared papers)
In The Last Decade
Raphaël Danchin
85 papers receiving 4.9k citations
Raphaël Danchin's Hit Papers
Peers
Comparison fields: 5 of 60
- Mathematical Physics 4.1k
- Applied Mathematics 4.3k
- Computational Mechanics 2.0k
- Statistical and Nonlinear Physics 851
- Control and Systems Engineering 1.0k
Countries citing papers authored by Raphaël Danchin
This map shows the geographic impact of Raphaël Danchin'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 Raphaël Danchin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Raphaël Danchin more than expected).
Fields of papers citing papers by Raphaël Danchin
This network shows the impact of papers produced by Raphaël Danchin. 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 Raphaël Danchin. The network helps show where Raphaël Danchin may publish in the future.
Co-authors
The 24 scholars most cited alongside Raphaël Danchin, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 88 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Fourier Analysis and Nonlinear Partial Differential Equations Hit paper breakdown → | 2011 | 1603 |
| 2 | 2001 | 316 | |
| 3 | 2000 | 310 | |
| 4 | 2003 | 192 | |
| 5 | 2001 | 163 | |
| 6 | 2003 | 158 | |
| 7 | 2010 | 139 | |
| 8 | 2001 | 137 | |
| 9 | 2009 | 116 | |
| 10 | Fourier Analysis Methods for PDE's | 2005 | 111 |
| 11 | 2001 | 104 | |
| 12 | 2010 | 102 | |
| 13 | 2012 | 96 | |
| 14 | 2004 | 84 | |
| 15 | 2008 | 76 | |
| 16 | 2002 | 72 | |
| 17 | 2007 | 68 | |
| 18 | 2002 | 67 | |
| 19 | 2007 | 66 | |
| 20 | 2008 | 63 |
About Raphaël Danchin
Raphaël Danchin is a scholar working on Applied Mathematics, Mathematical Physics, Computational Mechanics, Control and Systems Engineering and Statistical and Nonlinear Physics, having authored 88 papers that have together received 5.3k indexed citations. Recurring topics across this work include Navier-Stokes equation solutions (78 papers), Advanced Mathematical Physics Problems (67 papers), Computational Fluid Dynamics and Aerodynamics (25 papers), Stability and Controllability of Differential Equations (16 papers), Fluid Dynamics and Turbulent Flows (15 papers), Nonlinear Partial Differential Equations (10 papers), Gas Dynamics and Kinetic Theory (8 papers) and Geometric Analysis and Curvature Flows (7 papers). The work is most often cited by research in Mathematical Physics (4.1k citations), Applied Mathematics (4.3k citations), Computational Mechanics (2.0k citations), Statistical and Nonlinear Physics (851 citations) and Control and Systems Engineering (1.0k citations). Raphaël Danchin has collaborated with scholars based in France, Poland and China. Frequent co-authors include Jean-Yves Chemin, Hajer Bahouri, Marius Paicu, Piotr B. Mucha, Benoı̂t Desjardins, Frédéric Charve, Sylvie Benzoni-Gavage, Stéphane Descombes, Jiang Xu and Bernard Ducomet. Their work appears in journals such as Communications in Partial Differential Equations, Archive for Rational Mechanics and Analysis, Journal de Mathématiques Pures et Appliquées, Communications on Pure and Applied Mathematics and Journal of Mathematical Fluid Mechanics.
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.