2026 Yann Brenier: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	36	2582	2302	154	145	98	8800

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2582

2302

154

145

8800

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

2035
Citations
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

Jean-David Benamou;Yann Brenier

1823
Citations
Sticky Particles and Scalar Conservation Laws

Yann Brenier;Emmanuel Grenier

440
Citations
convergence of the vlasov-poisson system to the incompressible euler equations

Y. Brenier

335
Citations
The least action principle and the related concept of generalized flows for incompressible perfect fluids

Yann Brenier

269
Citations
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations

Yann Brenier

221
Citations
Averaged Multivalued Solutions for Scalar Conservation Laws

Yann Brenier

215
Citations
Reconstruction of the early Universe as a convex optimization problem

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

198
Citations
Extended Monge-Kantorovich Theory

Yann Brenier

198
Citations
Weak-Strong Uniqueness for Measure-Valued Solutions

Yann Brenier;Camillo De Lellis;László Székelyhidi

179
Citations
Solutions with Concentration to the Riemann Problem for the One-Dimensional Chaplygin Gas Equations

Y. Brenier

169
Citations
Upstream differencing for multiphase flow in reservoir simulation

Yann Brenier;Jérôme Jaffré

156
Citations
Weak existence for the semigeostrophic equations formulated as a coupled Monge-Ampère/transport problem

J.-D. Benamou;Y. Brenier

153
Citations
Optimal Transportation and Applications

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

144
Citations
Reconstruction of the early Universe as a convex optimization problem

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

142
Citations
Homogeneous hydrostatic flows with convex velocity profiles

Yann Brenier

141
Citations
Hydrodynamic Structure of the Augmented Born-Infeld Equations

Yann Brenier

134
Citations
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws

Y. Brenier;L. Corrias

133
Citations
Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1

Yann Brenier

130
Citations
The dual Least Action Problem for an ideal, incompressible fluid

Y. Brenier

101
Citations

Frequent Co-Authors

Luigi Ambrosio National Research Council (CNR)

Roberto Natalini National Research Council (CNR)

Wilfrid Gangbo University of California, Los Angeles

Camillo De Lellis Institute for Advanced Study

Sabino Matarrese University of Padua

Luis A. Caffarelli The University of Texas at Austin

Stanley Osher University of California, Los Angeles

Giuseppe Buttazzo University of Pisa

Cédric Villani École Normale Supérieure de Rennes

Uriel Frisch Observatoire de la Côte d’Azur

External Links

Personal website of Yann Brenier Google Scholar page

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