D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 38 Citations 4,526 78 World Ranking 1612 National Ranking 29

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Mechanics

His primary areas of study are Mathematical analysis, Gravitational singularity, Singularity, Euler equations and Compressibility. His Mathematical analysis research focuses on Geostrophic wind and how it relates to Norm. Diego Córdoba performs multidisciplinary study on Gravitational singularity and Finite time in his works.

Diego Córdoba has researched Singularity in several fields, including Limiting case and Euler's formula. His Euler equations research is multidisciplinary, incorporating perspectives in Class, Surface, Contour dynamics and Mathematical physics. His study in Compressibility focuses on Incompressible flow in particular.

His most cited work include:

  • A Maximum Principle Applied to Quasi-Geostrophic Equations (564 citations)
  • On the critical dissipative quasi-geostrophic equation (203 citations)
  • Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation (168 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Mathematical analysis, Compressibility, Gravitational singularity, Singularity and Euler equations. The various areas that Diego Córdoba examines in his Mathematical analysis study include Incompressible flow and Surface. His studies in Compressibility integrate themes in fields like Sign and Sobolev space.

His work focuses on many connections between Gravitational singularity and other disciplines, such as Classical mechanics, that overlap with his field of interest in Weak solution. His research investigates the link between Singularity and topics such as Initial value problem that cross with problems in Derivative. His Euler equations study integrates concerns from other disciplines, such as Point and Vorticity.

He most often published in these fields:

  • Mathematical analysis (75.21%)
  • Compressibility (32.23%)
  • Gravitational singularity (30.58%)

What were the highlights of his more recent work (between 2018-2021)?

  • Mathematical analysis (75.21%)
  • Compressibility (32.23%)
  • Inviscid flow (9.09%)

In recent papers he was focusing on the following fields of study:

Diego Córdoba focuses on Mathematical analysis, Compressibility, Inviscid flow, Perturbation and Surface. His Mathematical analysis study combines topics in areas such as Stratification, Exponential stability and Boussinesq approximation. His Compressibility research is multidisciplinary, relying on both Singularity and Euler equations.

Diego Córdoba focuses mostly in the field of Singularity, narrowing it down to topics relating to Partial differential equation and, in certain cases, Navier–Stokes equations, Smoothness and Gravitational singularity. As part of one scientific family, Diego Córdoba deals mainly with the area of Inviscid flow, narrowing it down to issues related to the Stationary solution, and often Geostrophic wind and Bifurcation. Many of his studies on Surface apply to Euler's formula as well.

Between 2018 and 2021, his most popular works were:

  • Uniformly Rotating Smooth Solutions for the Incompressible 2D Euler Equations (25 citations)
  • Global Solutions for the Generalized SQG Patch Equation (23 citations)
  • Global smooth solutions for the inviscid SQG equation (17 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Mechanics

His primary areas of investigation include Mathematical analysis, Compressibility, Surface, Inviscid flow and Euler equations. He is interested in Euler's formula, which is a branch of Mathematical analysis. His work blends Euler's formula and Alpha studies together.

You can notice a mix of various disciplines of study, such as Spacetime and Complex system, in his Euler equations studies.

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.

Best Publications

A Maximum Principle Applied to Quasi-Geostrophic Equations

Antonio Córdoba;Diego Córdoba.
Communications in Mathematical Physics (2004)

644 Citations

A Maximum Principle Applied to Quasi-Geostrophic Equations

Antonio Córdoba;Diego Córdoba.
Communications in Mathematical Physics (2004)

644 Citations

On the critical dissipative quasi-geostrophic equation

Peter Constantin;Diego Cordoba;Jiahong Wu.
Indiana University Mathematics Journal (2001)

261 Citations

On the critical dissipative quasi-geostrophic equation

Peter Constantin;Diego Cordoba;Jiahong Wu.
Indiana University Mathematics Journal (2001)

261 Citations

Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation

Diego Cordoba.
Annals of Mathematics (1998)

198 Citations

Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation

Diego Cordoba.
Annals of Mathematics (1998)

198 Citations

Generalized surface quasi-geostrophic equations with singular velocities

Dongho Chae;Peter Constantin;Diego Córdoba;Francisco Gancedo.
Communications on Pure and Applied Mathematics (2012)

166 Citations

Generalized surface quasi-geostrophic equations with singular velocities

Dongho Chae;Peter Constantin;Diego Córdoba;Francisco Gancedo.
Communications on Pure and Applied Mathematics (2012)

166 Citations

Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves

Ángel Castro;Diego Córdoba;Charles Louis Fefferman;Francisco Gancedo.
Annals of Mathematics (2012)

162 Citations

Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves

Ángel Castro;Diego Córdoba;Charles Louis Fefferman;Francisco Gancedo.
Annals of Mathematics (2012)

162 Citations

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