Raphaël Danchin

9.2k citations
96 papers · 5.6k · 1 hit paper · h-index 35

Impact in

Papers in

    • Navier-Stokes equation solutions 84
    • Nonlinear Partial Differential Equations 10
    • Gas Dynamics and Kinetic Theory 8
    • Geometric Analysis and Curvature Flows 7
    • Advanced Mathematical Physics Problems 73

Raphaël Danchin

92 papers receiving 5.2k citations

Raphaël Danchin's Hit Papers

Fourier Analysis and Nonlinear Partial Differential Equations 2011 · 1.7k citations
1.7k0+5+10Years since publication50010001.5k

Peers

Raphaël Danchin
Comparison fields: 5 of 60
  • Mathematical Physics 4.3k
  • Applied Mathematics 4.6k
  • Computational Mechanics 2.2k
  • Statistical and Nonlinear Physics 876
  • Control and Systems Engineering 1.1k
Replace Jean-Yves Chemin with:
Jean-Yves Chemin France
Ronald J. DiPerna United States
Hajer Bahouri France
Daniel Tataru United States
Luis Vega Spain
Camillo De Lellis Switzerland
Kevin Zumbrun United States
Frank Merle France
Loukas Grafakos United States
Jöran Bergh Sweden
Raphaël Danchin relative to Jean-Yves Chemin France Jean-Yves Chemin's profile →
Citations per field
00.5×2.6×
Jean-Yves Chemin · 1×
Citations per year

Countries citing papers authored by Raphaël Danchin

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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.

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

All Works

20 of 20 papers shown

Showing the 20 most-cited of 96 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Fourier Analysis and Nonlinear Partial Differential Equations
Hit paper breakdown →
20111669
2 2000342
3 2001323
4 2003196
5 2001174
6 2003165
7 2010142
8 2001140
9 2009119
10 2001115
11
Fourier Analysis Methods for PDE's
2005111
12 2010107
13 2012102
14 200487
15 200880
16 200280
17 200278
18 200772
19 200771
20 201667

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 96 papers that have together received 5.6k indexed citations. Recurring topics across this work include Navier-Stokes equation solutions (84 papers), Advanced Mathematical Physics Problems (73 papers), Computational Fluid Dynamics and Aerodynamics (26 papers), Stability and Controllability of Differential Equations (20 papers), Fluid Dynamics and Turbulent Flows (17 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 (4.3k citations), Applied Mathematics (4.6k citations), Computational Mechanics (2.2k citations), Statistical and Nonlinear Physics (876 citations) and Control and Systems Engineering (1.1k 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, Communications on Pure and Applied Mathematics, Journal de Mathématiques Pures et Appliquées and Mathematische Annalen.

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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