- Home
- Best Scientists - Mathematics
- Camillo De Lellis

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
5,617
132
World Ranking
1685
National Ranking
738

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

2016 - Member of Academia Europaea

- Mathematical analysis
- Geometry
- Algebra

Mathematical analysis, Euler equations, Conservation law, Dissipative system and Conjecture are his primary areas of study. His Mathematical analysis study combines topics from a wide range of disciplines, such as Rigidity and Geometry. His Euler equations study integrates concerns from other disciplines, such as Weak solution and Compressibility.

His research in Conservation law intersects with topics in Shock wave, Hyperbolic systems, Applied mathematics and Calculus. His research investigates the connection with Lipschitz continuity and areas like Riemann hypothesis which intersect with concerns in Bounded function. His Semi-implicit Euler method research incorporates themes from Measure, Radon measure, Young measure and Pure mathematics.

- On Admissibility Criteria for Weak Solutions of the Euler Equations (394 citations)
- The Euler equations as a differential inclusion (299 citations)
- Estimates and regularity results for the DiPerna-Lions flow (190 citations)

The scientist’s investigation covers issues in Mathematical analysis, Pure mathematics, Combinatorics, Codimension and Bounded function. Camillo De Lellis combines subjects such as Vector field and Compressibility with his study of Mathematical analysis. His Pure mathematics study incorporates themes from Boundary and Integer.

His Codimension research is multidisciplinary, incorporating perspectives in Discrete mathematics, Mod, Dimension, Dimension and Current. His Bounded function research includes themes of Initial value problem and Sobolev space. His studies deal with areas such as Mathematical physics, Conjecture, Kinetic energy, Euler's formula and Weak solution as well as Euler equations.

- Mathematical analysis (42.22%)
- Pure mathematics (30.00%)
- Combinatorics (16.11%)

- Pure mathematics (30.00%)
- Codimension (15.56%)
- Mathematical analysis (42.22%)

His primary scientific interests are in Pure mathematics, Codimension, Mathematical analysis, Mod and Current. His work on Immersion as part of general Pure mathematics study is frequently connected to Isometric exercise, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. He studied Codimension and Dimension that intersect with Uniqueness.

His Mathematical analysis research is multidisciplinary, incorporating elements of Solenoidal vector field and Divergence. His work in Bounded function covers topics such as Number theory which are related to areas like Vector field. Camillo De Lellis interconnects Weak solution and Space in the investigation of issues within Combinatorics.

- Onsager's Conjecture for Admissible Weak Solutions (113 citations)
- A direct approach to the anisotropic Plateau problem (17 citations)
- The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System (12 citations)

- Mathematical analysis
- Geometry
- Pure mathematics

His main research concerns Conjecture, Differential geometry, Fluid dynamics, Turbulence and Classical mechanics. His Conjecture research includes elements of Weak solution, Interval and Euler equations. Camillo De Lellis applies his multidisciplinary studies on Differential geometry and Work in his research.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The Euler equations as a differential inclusion

Camillo de Lellis;László Székelyhidi.

Annals of Mathematics **(2009)**

521 Citations

The Euler equations as a differential inclusion

Camillo de Lellis;László Székelyhidi.

Annals of Mathematics **(2009)**

521 Citations

On Admissibility Criteria for Weak Solutions of the Euler Equations

Camillo de Lellis;László Székelyhidi.

Archive for Rational Mechanics and Analysis **(2010)**

469 Citations

On Admissibility Criteria for Weak Solutions of the Euler Equations

Camillo de Lellis;László Székelyhidi.

Archive for Rational Mechanics and Analysis **(2010)**

469 Citations

Estimates and regularity results for the DiPerna-Lions flow

Gianluca Crippa;Camillo de Lellis.

Crelle's Journal **(2008)**

321 Citations

Estimates and regularity results for the DiPerna-Lions flow

Gianluca Crippa;Camillo de Lellis.

Crelle's Journal **(2008)**

321 Citations

Dissipative continuous Euler flows

Camillo De Lellis;László Székelyhidi.

Inventiones Mathematicae **(2013)**

238 Citations

Dissipative continuous Euler flows

Camillo De Lellis;László Székelyhidi.

Inventiones Mathematicae **(2013)**

238 Citations

Global Ill-Posedness of the Isentropic System of Gas Dynamics

Elisabetta Chiodaroli;Camillo De Lellis;Ondřej Kreml.

Communications on Pure and Applied Mathematics **(2015)**

205 Citations

Global Ill-Posedness of the Isentropic System of Gas Dynamics

Elisabetta Chiodaroli;Camillo De Lellis;Ondřej Kreml.

Communications on Pure and Applied Mathematics **(2015)**

205 Citations

Inventiones Mathematicae

(Impact Factor: 3.128)

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Bonn

National Academies of Sciences, Engineering, and Medicine

Max Planck Institute for Mathematics in the Sciences

ETH Zurich

Courant Institute of Mathematical Sciences

ETH Zurich

École Normale Supérieure

Université Gustave Eiffel

Pennsylvania State University

Karlsruhe Institute of Technology

Saarland University

IBM (United States)

University of California, Berkeley

University of Alberta

Pennsylvania State University

Kumamoto University

Soochow University

Utrecht University

University of Helsinki

Michigan State University

University of Hong Kong

University of East Anglia

National University of Ireland, Galway

Flinders University

Columbia University

Something went wrong. Please try again later.