2026 Camillo De Lellis: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	45	1490	1284	649	520	151	7436

Research.com Recognitions

2021 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
2016 - Member of Academia Europaea

Overview

Camillo De Lellis is affiliated with the Institute for Advanced Study in the United States. The focus of their research lies primarily within the field of Mathematics, with significant contributions to Applied Mathematics, Computational Theory and Mathematics, Computational Mechanics, Mathematical Physics, and Geometry and Topology.

Their published work encompasses diverse topics, including:

Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Advanced Mathematical Modeling in Engineering
Navier-Stokes Equation Solutions
Fluid Dynamics and Turbulent Flows
Advanced Mathematical Physics Problems
Stability and Controllability of Differential Equations

Among recent papers authored or coauthored by Camillo De Lellis are:

"Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves," 2021, published in Archive for Rational Mechanics and Analysis
"Anomalous Dissipation for the Forced 3D Navier-Stokes Equations," 2023, published in Communications in Mathematical Physics
"Regularity theory for 2-dimensional almost minimal currents III: Blowup," 2020, published in Journal of Differential Geometry
"On nonuniqueness of Hölder continuous globally dissipative Euler flows," 2022, published in Analysis & PDE
"Weak stability and closure in turbulence," 2022, published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences

Frequent collaborators in their research include:

Elia Brué
Maria Colombo
Jonas Hirsch
Hyunju Kwon
Vikram Giri

Camillo De Lellis regularly publishes in venues such as:

arXiv (Cornell University)
Archive for Rational Mechanics and Analysis
Journal of Differential Geometry
Nonlinear Analysis
Communications in Mathematical Physics

In addition to journal articles, De Lellis has contributed to academic books published by:

Princeton University Press, with the book "Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik" (2024)
EMS Monographs in Mathematics, with "The Regularity Theory for the Mumford-Shah Functional on the Plane" (2025)

Camillo De Lellis has been recognized by election to the German National Academy of Sciences Leopoldina in 2021 for contributions to mathematics and was named a Member of Academia Europaea in 2016.

Best Publications

The Euler equations as a differential inclusion

Camillo de Lellis;László Székelyhidi

679
Citations
On Admissibility Criteria for Weak Solutions of the Euler Equations

Camillo de Lellis;László Székelyhidi

598
Citations
Estimates and regularity results for the DiPerna-Lions flow

Gianluca Crippa;Camillo de Lellis

374
Citations
Dissipative continuous Euler flows

Camillo De Lellis;László Székelyhidi

354
Citations
Global Ill-Posedness of the Isentropic System of Gas Dynamics

Elisabetta Chiodaroli;Camillo De Lellis;Ondřej Kreml

313
Citations
Onsager's Conjecture for Admissible Weak Solutions

Tristan Buckmaster;Camillo De Lellis;László Székelyhidi;Vlad Vicol

312
Citations
Anomalous dissipation for 1/5-Hölder Euler flows

Tristan Buckmaster;Camillo De Lellis;Philip Isett;László Székelyhidi

224
Citations
The ℎ-principle and the equations of fluid dynamics

Camillo De Lellis;László Székelyhidi

213
Citations
Dissipative Euler flows and Onsager's conjecture

Camillo De Lellis;László Székelyhidi Jr.

206
Citations
Weak-Strong Uniqueness for Measure-Valued Solutions

Yann Brenier;Camillo De Lellis;László Székelyhidi

179
Citations
Dissipative Euler Flows with Onsager-Critical Spatial Regularity

Tristan J. Buckmaster;Camillo De Lellis;László Székelyhidi

145
Citations
Line energies for gradient vector fields in the plane

Luigi Ambrosio;Camillo De Lellis;Carlo Mantegazza

145
Citations
Q-Valued Functions Revisited

Camillo De Lellis;Emanuele Nunzio Spadaro

140
Citations
h -Principle and Rigidity for C 1, α Isometric Embeddings

Sergio Conti;Camillo De Lellis;László Székelyhidi

125
Citations
Optimal rigidity estimates for nearly umbilical surfaces

Camillo De Lellis;Stefan Müller

118
Citations
Structure of Entropy Solutions for Multi-Dimensional Scalar Conservation Laws

Camillo De Lellis;Felix Otto;Michael Westdickenberg

115
Citations
Rectifiable Sets, Densities and Tangent Measures

Camillo De Lellis

110
Citations
Regularity of area minimizing currents III: blow-up

Camillo De Lellis;Emanuele Nunzio Spadaro

107
Citations
Regularity of area minimizing currents I: gradient L p estimates

Camillo De Lellis;Emanuele Spadaro

94
Citations
Minimal entropy conditions for Burgers equation

Camillo De Lellis;Felix Otto;Michael Westdickenberg

93
Citations
The h-principle and equations of fluid dynamics

Camillo De Lellis;László Székelyhidi

3
Citations
The min--max construction of minimal surfaces

Tobias H. Colding;Camillo De Lellis

1
Citations
Partial Differential Equations

Steven G. Krantz

0
Citations

Frequent Co-Authors

Tobias H. Colding MIT

Sergio Conti University of Bonn

Luigi Ambrosio National Research Council (CNR)

Felix Otto Max Planck Institute for Mathematics in the Sciences

Helmut Bölcskei ETH Zurich

Yann Brenier École Normale Supérieure

William P. Minicozzi MIT

Vlad Vicol Courant Institute of Mathematical Sciences

Tristan Rivière ETH Zurich

Alberto Bressan Pennsylvania State University

External Links

Wikipedia of Camillo De Lellis Personal website of Camillo De Lellis Google Scholar page

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