What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (42.22%)
- Pure mathematics (30.00%)
- Combinatorics (16.11%)
What were the highlights of his more recent work (between 2018-2021)?
- Pure mathematics (30.00%)
- Codimension (15.56%)
- Mathematical analysis (42.22%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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