Raphaël Danchin

9.0k total citations · 1 hit paper
88 papers, 5.3k citations indexed

About

Raphaël Danchin is a scholar working on Applied Mathematics, Mathematical Physics and Computational Mechanics. According to data from OpenAlex, Raphaël Danchin has authored 88 papers receiving a total of 5.3k indexed citations (citations by other indexed papers that have themselves been cited), including 81 papers in Applied Mathematics, 69 papers in Mathematical Physics and 39 papers in Computational Mechanics. Recurrent topics in Raphaël Danchin's work include Navier-Stokes equation solutions (78 papers), Advanced Mathematical Physics Problems (67 papers) and Computational Fluid Dynamics and Aerodynamics (25 papers). Raphaël Danchin is often cited by papers focused on Navier-Stokes equation solutions (78 papers), Advanced Mathematical Physics Problems (67 papers) and Computational Fluid Dynamics and Aerodynamics (25 papers). Raphaël Danchin collaborates with scholars based in France, Poland and China. Raphaël Danchin's co-authors include Hajer Bahouri, Jean-Yves Chemin, Marius Paicu, Piotr B. Mucha, Benoı̂t Desjardins, Frédéric Charve, Sylvie Benzoni-Gavage, Stéphane Descombes, Jiang Xu and Bernard Ducomet and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Raphaël Danchin

85 papers receiving 4.9k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Fourier Analysis and Nonlinear Partial Differential Equations

2011 1.6k citations Raphaël Danchin et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Raphaël Danchin France	34	4.3k	4.1k	2.0k	1.0k	851	88	5.3k
Jean-Yves Chemin France	21	2.9k 0.7×	2.5k 0.6×	1.1k 0.5×	779 0.8×	330 0.4×	49	3.4k
Zhouping Xin Hong Kong	45	6.1k 1.4×	4.3k 1.1×	3.9k 2.0×	902 0.9×	678 0.8×	160	7.1k
Ronald J. DiPerna United States	22	3.7k 0.9×	2.0k 0.5×	1.9k 0.9×	645 0.6×	392 0.5×	27	4.5k
Hajer Bahouri France	12	1.7k 0.4×	1.9k 0.5×	503 0.3×	501 0.5×	374 0.4×	35	2.3k
Jean‐Claude Saut France	37	1.8k 0.4×	3.2k 0.8×	640 0.3×	729 0.7×	2.2k 2.6×	118	4.4k
Luis Vega Spain	38	3.3k 0.8×	5.6k 1.4×	289 0.1×	1.1k 1.0×	2.7k 3.2×	136	6.1k
Frank Merle France	39	1.9k 0.4×	3.9k 0.9×	219 0.1×	1.1k 1.0×	2.2k 2.5×	98	4.6k
Daniel Tataru United States	38	2.1k 0.5×	3.7k 0.9×	265 0.1×	1.6k 1.6×	725 0.9×	113	4.4k
Kevin Zumbrun United States	32	2.4k 0.5×	1.6k 0.4×	1.6k 0.8×	681 0.7×	465 0.5×	146	3.4k
Camillo De Lellis Switzerland	27	2.1k 0.5×	956 0.2×	821 0.4×	379 0.4×	124 0.1×	97	2.5k

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-authorship network of co-authors of Raphaël Danchin

This figure shows the co-authorship network connecting the top 25 collaborators of Raphaël Danchin. A scholar is included among the top collaborators of Raphaël Danchin 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 Raphaël Danchin. Raphaël Danchin 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

Danchin, Raphaël. (2023). Partially dissipative systems in the critical regularity setting, and strong relaxation limit. arXiv (Cornell University). 9(1). 135–192. 9 indexed citations

Danchin, Raphaël & Piotr B. Mucha. (2023). Compressible Navier‐Stokes equations with ripped density. Communications on Pure and Applied Mathematics. 76(11). 3437–3492. 4 indexed citations

Danchin, Raphaël, et al.. (2017). On the global existence and time decay estimates in critical spaces for the Navier–Stokes–Poisson system. Mathematische Nachrichten. 290(13). 1939–1970. 15 indexed citations

Danchin, Raphaël, et al.. (2014). On the well-posedness of the full compressible Navier-Stokes system in\n critical Besov spaces. arXiv (Cornell University). 23 indexed citations

Danchin, Raphaël & Ping Zhang. (2014). Inhomogeneous Navier–Stokes equations in the half-space, with only bounded density. Journal of Functional Analysis. 267(7). 2371–2436. 23 indexed citations

Danchin, Raphaël, et al.. (2012). ON THE WELL-POSEDNESS OF THE FULL LOW MACH NUMBER LIMIT SYSTEM IN GENERAL CRITICAL BESOV SPACES. Communications in Contemporary Mathematics. 14(3). 1250022–1250022. 11 indexed citations

Danchin, Raphaël, et al.. (2011). The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces. Journal de Mathématiques Pures et Appliquées. 96(3). 253–278. 23 indexed citations

Danchin, Raphaël. (2009). On the well-posedness of the incompressible density-dependent Euler equations in theLpframework. Journal of Differential Equations. 248(8). 2130–2170. 50 indexed citations

Danchin, Raphaël & Piotr B. Mucha. (2008). A critical functional framework for the inhomogeneous Navier–Stokes equations in the half-space. Journal of Functional Analysis. 256(3). 881–927. 36 indexed citations

10.

Danchin, Raphaël. (2007). On perfect fluids with bounded vorticity. Comptes Rendus Mathématique. 345(7). 391–394. 1 indexed citations

11.

Benzoni-Gavage, Sylvie, Raphaël Danchin, & Stéphane Descombes. (2007). On the well-posedness for the Euler-Korteweg model in several space dimensions. Indiana University Mathematics Journal. 56(4). 1499–1579. 66 indexed citations

12.

Benzoni-Gavage, Sylvie, Raphaël Danchin, & Stéphane Descombes. (2006). WELL-POSEDNESS OF ONE-DIMENSIONAL KORTEWEG MODELS. SHILAP Revista de lepidopterología. 2006. 27 indexed citations

13.

Danchin, Raphaël. (2006). The inviscid limit for density-dependent incompressible fluids. Annales de la faculté des sciences de Toulouse Mathématiques. 15(4). 637–688. 42 indexed citations

14.

Danchin, Raphaël. (2005). Low Mach number limit for viscous compressible flows. ESAIM Mathematical Modelling and Numerical Analysis. 39(3). 459–475. 47 indexed citations

15.

Danchin, Raphaël. (2003). Fluides incompressibles à densité variable. French digital mathematics library (Numdam). 1–16. 2 indexed citations

16.

Danchin, Raphaël. (2003). A note on well-posedness for Camassa–Holm equation. Journal of Differential Equations. 192(2). 429–444. 192 indexed citations

17.

Danchin, Raphaël. (2002). Zero Mach number limit in critical spaces for compressible Navier–Stokes equations. Annales Scientifiques de l École Normale Supérieure. 35(1). 27–75. 72 indexed citations

18.

Danchin, Raphaël. (1999). Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque. Bulletin de la Société mathématique de France. 127(2). 179–227. 7 indexed citations

19.

Danchin, Raphaël. (1999). Existence globale dans des espaces critiques pour le système de Navier-Stokes compressible. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 328(8). 649–652. 2 indexed citations

20.

Danchin, Raphaël. (1997). Poches de tourbillon visqueuses. Journal de Mathématiques Pures et Appliquées. 76(7). 609–647. 38 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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