World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
5596
World Ranking
1628
National Ranking
24

Overview

Diego Córdoba is affiliated with the Institute of Mathematical Sciences in Spain and has contributed extensively to research in mathematics and engineering. Their work spans a variety of specialized fields, including applied mathematics, mathematical physics, computational mechanics, control and systems engineering, and earth-surface processes.

The main topics covered in Córdoba's research include:

  • Navier-Stokes equation solutions
  • Advanced mathematical physics problems
  • Stability and controllability of differential equations
  • Geometric analysis and curvature flows
  • Computational fluid dynamics and aerodynamics
  • Nonlinear partial differential equations
  • Numerical methods in inverse problems

Their publication record features prominent venues, highlighting a strong presence in:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Annals of PDE
  • Annales Scientifiques de l'École Normale Supérieure
  • UCrea (University of Cantabria)

Among recent papers authored or coauthored by Córdoba are:

  • Global well-posedness for the 2D stable Muskat problem in Annales Scientifiques de l'École Normale Supérieure, 2021
  • The confined muskat problem: differences with the deep water regime in UCrea (University of Cantabria), 2023
  • Mixing solutions for the Muskat problem in Inventiones mathematicae, 2021
  • Non existence and strong ill-posedness in C and Sobolev spaces for SQG in Advances in Mathematics, 2022
  • Global Smooth Solutions for the Inviscid SQG Equation in Memoirs of the American Mathematical Society, 2020

Their collaborative network is marked by frequent coauthorship with several researchers, including:

  • Luis Martínez-Zoroa
  • Ángel Castro
  • Wojciech S. Ożański
  • Fan Zheng
  • Alberto Enciso

Their research involves substantial work in nonlinear partial differential equations and stability issues, with a particular focus on fluid dynamics problems such as the Muskat problem and Surface Quasi-Geostrophic (SQG) equations. The diversity of publication venues reflects an interdisciplinary approach bridging pure and applied mathematical contexts.

Best Publications

  • A Maximum Principle Applied to Quasi-Geostrophic Equations

    Antonio Córdoba;Diego Córdoba

  • On the critical dissipative quasi-geostrophic equation

    Peter Constantin;Diego Cordoba;Jiahong Wu

  • Generalized surface quasi-geostrophic equations with singular velocities

    Dongho Chae;Peter Constantin;Diego Córdoba;Francisco Gancedo

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

    Diego Cordoba

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

    Ángel Castro;Diego Córdoba;Charles Louis Fefferman;Francisco Gancedo

  • Contour Dynamics of Incompressible 3-D Fluids in a Porous Medium with Different Densities

    Diego Córdoba;Francisco Gancedo

  • Interface evolution: the Hele-Shaw and Muskat problems

    Antonio Córdoba;Diego Córdoba;Francisco Gancedo

  • On the global existence for the Muskat problem

    Peter Constantin;Diego Córdoba;Francisco Gancedo;Robert M. Strain

  • Finite time singularities for the free boundary incompressible Euler equations

    Angel Castro;Diego Córdoba;Charles Fefferman;Francisco Gancedo

  • Lack of Uniqueness for Weak Solutions of the Incompressible Porous Media Equation

    Diego Cordoba;Daniel Faraco;Francisco Gancedo

  • Evidence of singularities for a family of contour dynamics equations

    Diego Córdoba;Marco A. Fontelos;Ana M. Mancho;Jose L. Rodrigo

  • Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

    Angel Castro;Diego Córdoba;Javier Gómez-Serrano

  • On the Muskat problem: Global in time results in 2D and 3D

    Peter Constantin;Diego Córdoba;Francisco Gancedo;Luis Rodríguez-Piazza

  • Growth of solutions for QG and 2D Euler equations

    Diego Cordoba;Diego Cordoba;Charles Fefferman

  • A pointwise estimate for fractionary derivatives with applications to partial differential equations.

    Antonio Córdoba;Diego Córdoba

  • Finite time singularities in a 1D model of the quasi-geostrophic equation

    Dongho Chae;Antonio Córdoba;Diego Córdoba;Marco A. Fontelos

  • Breakdown of Smoothness for the Muskat Problem

    Ángel Castro;Diego Córdoba;Charles Fefferman;Francisco Gancedo

  • Uniformly Rotating Analytic Global Patch Solutions for Active Scalars

    Angel Castro;Angel Castro;Diego Córdoba;Diego Córdoba;Javier Gómez-Serrano

  • Infinite energy solutions of the surface quasi-geostrophic equation

    A. Castro;D. Córdoba

  • Formation of singularities for a transport equation with nonlocal velocity

    Antonio Cordoba;Diego Cordoba;Marco A. Fontelos

Frequent Co-Authors

Charles Fefferman
Charles Fefferman Princeton University
Peter Constantin
Peter Constantin Princeton University
Jiahong Wu
Jiahong Wu University of Notre Dame
Dongho Chae
Dongho Chae Chung-Ang University
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Rafael de la Llave
Rafael de la Llave Georgia Institute of Technology

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