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Córdoba, Diego

  1. Generalized surface quasi-geostrophic equations with singular velocities
    2011/01/18 by Chae, Dongho, Constantin, Peter, Córdoba, Diego +2 · 7 citations
    #35B45 #35B65 #35Q35 #76B03 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
  2. Global smooth solutions for the inviscid SQG equation
    2016/03/10 by Castro, Angel, Córdoba, Diego, Gómez-Serrano, Javier · 6 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. Finite time singularities for the free boundary incompressible Euler equations
    2011/12/09 by Ángel Castro, Angel Castro, Castro, Angel +8 · 6 citations
    Mathematics · Earth and Planetary Sciences · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Aquatic and Environmental Studies
  4. Non existence and strong ill-posedness in Ck and Sobolev spaces for\n SQG
    2021/07/15 by Diego Córdoba, Luis Martínez-Zoroa, Córdoba, Diego +1 · 6 citations
    Mathematics · #Navier-Stokes equation solutions #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  5. Uniformly rotating analytic global patch solutions for active scalars
    2015/08/07 by Castro, Angel, Córdoba, Diego, Gómez-Serrano, Javier · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Non-existence and strong ill-posedness in Ck,β for the generalized Surface Quasi-geostrophic equation
    2022/07/28 by Córdoba, Diego, Martínez-Zoroa, Luis · 6 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation
    2020/07/09 by Ángel Castro, Castro, Ángel, Diego Córdoba +3 · 4 citations
    Mathematics · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Geometric Analysis and Curvature Flows
  8. Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations
    2022/10/31 by Diego Córdoba, Luis Martínez-Zoroa, Córdoba, Diego +3 · 4 citations
    Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
  9. Global solutions for the generalized SQG patch equation
    2017/05/30 by Córdoba, Diego, Gómez-Serrano, Javier, Ionescu, Alexandru D. · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source
    2024/10/30 by Córdoba, Diego, Martínez-Zoroa, Luis · 5 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  11. On the existence of stationary splash singularities for the Euler equations
    2014/12/23 by Córdoba, Diego, Enciso, Alberto, Grubic, Nastasia · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Splash singularities for the free boundary Navier-Stokes equations
    2015/04/10 by Castro, Angel, Córdoba, Diego, Fefferman, Charles +2 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term
    2018/05/11 by Castro, Angel, Córdoba, Diego, Lear, Daniel · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  14. Instantaneous continuous loss of regularity for the SQG equation
    2024/09/27 by Córdoba, Diego, Martínez-Zoroa, Luis, Ożański, Wojciech S. · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion
    2023/03/13 by Diego Córdoba, Luis Martínez-Zoroa, Córdoba, Diego +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
  16. Non Existence and Strong Ill-Posedness in H2 for the Stable IPM Equation
    2024/10/02 by Bianchini, Roberta, Córdoba, Diego, Martínez-Zoroa, Luis · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG
    2025/02/10 by Diego Córdoba, José Lucas-Manchón, Córdoba, Diego +3 · 1 citation
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in engineering #Numerical methods in inverse problems