World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
8800
World Ranking
2583
National Ranking
154

Yann Brenier publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Yann Brenier sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 98 publications — 10th percentile

10% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Yann Brenier D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Yann Brenier sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Yann Brenier is affiliated with the École Normale Supérieure in France. Their research focuses primarily on mathematics and physics, with a significant contribution to applied mathematics, geometry and topology, and astrophysics.

The main topics covered in their work include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Cosmology and Gravitation Theories
  • Black Holes and Theoretical Physics
  • Navier-Stokes equation solutions
  • Nonlinear Partial Differential Equations
  • Fluid Dynamics and Turbulent Flows

Yann Brenier has published research in several venues, reflecting a range of mathematical and physical disciplines. These venues include:

  • arXiv (Cornell University)
  • Physical review. D/Physical review. D.
  • Analysis & PDE
  • Annales mathématiques du Québec
  • Comptes Rendus Mathématique

Among their recent papers are:

  • "Monge-Ampère gravitation as a Γ-limit of good rate functions", 2023, Analysis & PDE
  • "Various formulations and approximations of incompressible fluid motions in porous media", 2022, Annales mathématiques du Québec
  • "Monge-Ampère gravity: From the large deviation principle to cosmological simulations through optimal transport", 2024, Physical review. D/Physical review. D.
  • "Γ-convergence for a class of action functionals induced by gradients of convex functions", 2021, arXiv (Cornell University)
  • "Une interprétation variationnelle de la relativité générale dans le vide en termes de transport optimal", 2022, Comptes Rendus Mathématique

The work of Yann Brenier intersects with multiple coauthors in related fields. Frequent collaborators include:

  • Luigi Ambrosio
  • Aymeric Baradat
  • Roya Mohayaee
  • Albert Bonnefous
  • Bruno Lévy

Brenier's research often explores the mathematical structures underlying fluid dynamics, optimal transport, and gravitational theories. The combination of interests in complex geometry, partial differential equations, and theoretical physics manifests in their work on geometric flows, nonlinear PDEs, and cosmology.

Best Publications

  • Polar Factorization and Monotone Rearrangement of Vector-Valued Functions

    Yann Brenier

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

    Jean-David Benamou;Yann Brenier

  • Sticky Particles and Scalar Conservation Laws

    Yann Brenier;Emmanuel Grenier

  • convergence of the vlasov-poisson system to the incompressible euler equations

    Y. Brenier

  • The least action principle and the related concept of generalized flows for incompressible perfect fluids

    Yann Brenier

  • Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations

    Yann Brenier

  • Averaged Multivalued Solutions for Scalar Conservation Laws

    Yann Brenier

  • Reconstruction of the early Universe as a convex optimization problem

    Y. Brenier;U. Frisch;U. Frisch;M. Hénon;G. Loeper

  • Extended Monge-Kantorovich Theory

    Yann Brenier

  • Weak-Strong Uniqueness for Measure-Valued Solutions

    Yann Brenier;Camillo De Lellis;László Székelyhidi

  • Solutions with Concentration to the Riemann Problem for the One-Dimensional Chaplygin Gas Equations

    Y. Brenier

  • Upstream differencing for multiphase flow in reservoir simulation

    Yann Brenier;Jérôme Jaffré

  • Weak existence for the semigeostrophic equations formulated as a coupled Monge-Ampère/transport problem

    J.-D. Benamou;Y. Brenier

  • Optimal Transportation and Applications

    Luigi Ambrosio;Luis A. Caffarelli;Yann Brenier;Giuseppe Buttazzo

  • Reconstruction of the early Universe as a convex optimization problem

    Y. Brenier;U. Frisch;M. Henon;G. Loeper

  • Homogeneous hydrostatic flows with convex velocity profiles

    Yann Brenier

  • Hydrodynamic Structure of the Augmented Born-Infeld Equations

    Yann Brenier

  • A kinetic formulation for multi-branch entropy solutions of scalar conservation laws

    Y. Brenier;L. Corrias

  • Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1

    Yann Brenier

  • The dual Least Action Problem for an ideal, incompressible fluid

    Y. Brenier

Frequent Co-Authors

Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Roberto Natalini
Roberto Natalini National Research Council (CNR)
Wilfrid Gangbo
Wilfrid Gangbo University of California, Los Angeles
Camillo De Lellis
Camillo De Lellis Institute for Advanced Study
Sabino Matarrese
Sabino Matarrese University of Padua
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Stanley Osher
Stanley Osher University of California, Los Angeles
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Uriel Frisch
Uriel Frisch Observatoire de la Côte d’Azur

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