Yann Brenier

6.9k total citations · 2 hit papers
68 papers, 3.8k citations indexed

About

Yann Brenier is a scholar working on Applied Mathematics, Computational Mechanics and Geometry and Topology. According to data from OpenAlex, Yann Brenier has authored 68 papers receiving a total of 3.8k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Applied Mathematics, 28 papers in Computational Mechanics and 14 papers in Geometry and Topology. Recurrent topics in Yann Brenier's work include Navier-Stokes equation solutions (33 papers), Geometric Analysis and Curvature Flows (23 papers) and Computational Fluid Dynamics and Aerodynamics (20 papers). Yann Brenier is often cited by papers focused on Navier-Stokes equation solutions (33 papers), Geometric Analysis and Curvature Flows (23 papers) and Computational Fluid Dynamics and Aerodynamics (20 papers). Yann Brenier collaborates with scholars based in France, Italy and United States. Yann Brenier's co-authors include Jean‐David Benamou, Emmanuel Grenier, Jérôme Jaffré, Grégoire Loeper, Camillo De Lellis, László Székelyhidi, Stanley Osher, Luigi Ambrosio, Cédric Villani and Luis Caffarelli and has published in prestigious journals such as Monthly Notices of the Royal Astronomical Society, Computer Methods in Applied Mechanics and Engineering and Communications in Mathematical Physics.

In The Last Decade

Yann Brenier

64 papers receiving 3.4k 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.

A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

2000 843 citations Yann Brenier et al. profile →
Polar factorization and monotone rearrangement of vector‐valued functions

1991 837 citations Yann Brenier profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Yann Brenier France	27	2.3k	1.1k	678	620	397	68	3.8k
Giuseppe Savaré Italy	28	2.3k 1.0×	553 0.5×	709 1.0×	722 1.2×	329 0.8×	81	3.6k
Lokenath Debnath United States	32	1.9k 0.8×	586 0.5×	404 0.6×	543 0.9×	860 2.2×	226	5.8k
Jean‐David Benamou France	22	850 0.4×	600 0.5×	281 0.4×	308 0.5×	268 0.7×	50	2.4k
James Glimm United States	53	2.4k 1.0×	3.9k 3.5×	2.7k 4.0×	422 0.7×	868 2.2×	260	9.0k
Lawrence C. Evans United States	27	3.0k 1.3×	636 0.6×	1.4k 2.1×	541 0.9×	335 0.8×	55	4.9k
Shing Tung Yau United States	26	2.8k 1.2×	502 0.4×	1.3k 1.9×	2.2k 3.5×	391 1.0×	62	4.9k
L. C. Evans United States	25	1.4k 0.6×	370 0.3×	548 0.8×	307 0.5×	320 0.8×	34	2.9k
C. David Levermore United States	36	2.3k 1.0×	2.0k 1.8×	1.1k 1.6×	127 0.2×	1.3k 3.2×	81	4.9k
Yves Meyer France	35	4.2k 1.8×	1.0k 0.9×	2.4k 3.6×	181 0.3×	236 0.6×	97	7.5k
Daniel W. Lozier United States	10	765 0.3×	232 0.2×	382 0.6×	220 0.4×	661 1.7×	30	3.8k

Countries citing papers authored by Yann Brenier

Since Specialization

Citations

This map shows the geographic impact of Yann Brenier'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 Yann Brenier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Yann Brenier more than expected).

Fields of papers citing papers by Yann Brenier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Yann Brenier. 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 Yann Brenier. The network helps show where Yann Brenier may publish in the future.

Co-authorship network of co-authors of Yann Brenier

This figure shows the co-authorship network connecting the top 25 collaborators of Yann Brenier. A scholar is included among the top collaborators of Yann Brenier 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 Yann Brenier. Yann Brenier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Lévy, Bruno, Yann Brenier, & Roya Mohayaee. (2024). Monge-Ampère gravity: From the large deviation principle to cosmological simulations through optimal transport. Physical review. D. 110(6).

Brenier, Yann. (2024). Mathématiques des plasmas et fluides. French digital mathematics library (Numdam). 1–28. 1 indexed citations

Ambrosio, Luigi, et al.. (2023). Monge–Ampère gravitation as a Γ-limit ofgood rate functions. Analysis & PDE. 16(9). 2005–2040. 2 indexed citations

Brenier, Yann. (2022). Various formulations and approximations of incompressible fluid motions in porous media. SPIRE - Sciences Po Institutional REpository. 46(1). 195–206. 1 indexed citations

Ambrosio, Luigi, et al.. (2021). $Γ$-convergence for a class of action functionals induced by gradients of convex functions. arXiv (Cornell University). 1 indexed citations

Brenier, Yann. (2019). Optimal transportation of particles, fluids and currents. Advanced studies in pure mathematics. 59–85.

Brenier, Yann & Xianglong Duan. (2017). From Conservative to Dissipative Systems Through Quadratic Change of Time, with Application to the Curve-Shortening Flow. Archive for Rational Mechanics and Analysis. 227(2). 545–565. 3 indexed citations

Brenier, Yann. (2014). Connections between Optimal Transport, Combinatorial Optimization and\n Hydrodynamics. arXiv (Cornell University). 2 indexed citations

Brenier, Yann. (2013). Rearrangement, convection, convexity and entropy. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 371(2005). 20120343–20120343. 3 indexed citations

10.

Brenier, Yann, Wilfrid Gangbo, Giuseppe Savaré, & Michael Westdickenberg. (2012). Sticky particle dynamics with interactions. Journal de Mathématiques Pures et Appliquées. 99(5). 577–617. 37 indexed citations

11.

Brenier, Yann, Camillo De Lellis, & László Székelyhidi. (2011). Weak-Strong Uniqueness for Measure-Valued Solutions. Communications in Mathematical Physics. 305(2). 75 indexed citations

12.

Brenier, Yann, Félix Otto, & Christian Seis. (2011). Upper Bounds on Coarsening Rates in Demixing Binary Viscous Liquids. SIAM Journal on Mathematical Analysis. 43(1). 114–134. 18 indexed citations

13.

Brenier, Yann. (2011). A modified least action principle allowing mass concentrations for the early universe reconstruction problem. French digital mathematics library (Numdam). 3(3). 361–385. 7 indexed citations

14.

Brenier, Yann. (2003). Remarks on the derivation of the hydrostatic Euler equations. Bulletin des Sciences Mathématiques. 127(7). 585–595. 33 indexed citations

15.

Brenier, Yann, et al.. (2002). Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamique. Comptes Rendus Mathématique. 334(3). 239–244. 1 indexed citations

16.

Brenier, Yann, et al.. (2002). Optimal Multiphase Transportation with prescribed momentum. ESAIM Control Optimisation and Calculus of Variations. 8. 287–343. 5 indexed citations

17.

Brenier, Yann. (1997). Homogénéisation variationnelle des équations d’Euler. French digital mathematics library (Numdam). 1–17. 1 indexed citations

18.

Brenier, Yann. (1990). Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un. Journal of Computational and Applied Mathematics. 31(1). 35–56. 1 indexed citations

19.

Brenier, Yann. (1989). The least action principle and the related concept of generalized flows for incompressible perfect fluids. Journal of the American Mathematical Society. 2(2). 225–255. 91 indexed citations

20.

Brenier, Yann. (1983). Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1. Journal of Differential Equations. 50(3). 375–390. 49 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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