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Diego Córdoba

Diego Córdoba's picture

ICMAT Member

Data

Institution: Consejo Superior de Investigaciones Científicas

Position: Profesor de Investigación

Office: 418          Phone: 798

E-mail: dcg()icmat.es

Personal webpage
http://www.icmat.es/dcordoba
Research Interest

 Partial Differential Equations and Fluid Mechanics

 

 Short CV

Publications

                                                                             Paper Submitted

  1. “Porous media: the Muskat problem in 3D ” (with A. Córdoba and F. Gancedo), Preprint arXiv:1005.3536.

  2. “Breakdown of smoothness for the Muskat problem” (with A. Castro, C. Fefferman and F. Gancedo). Preprint arXiv:1201.2525.
  3. "Finite time singularities for the free boundary incompressible Euler equations" (with A. Castro, C. Fefferman, F. Gancedo and J. Goméz-Serrano). Preprint arXiv:1112.2170.

                                                                             Paper to Appear

  1. “On the global existence for the Muskat problem” (with P. Constantin, F. Gancedo and R. Strain), To appear in JEMS.  arXiv:1007.3744.

  2. "A naive parametrization for the vortex-sheet problem". (with A. Castro and F. Gancedo) To appear in Partial differential equations and fluid mechanics. London Math. Soc. Lecture., Cambridge  Univ. Press, Cambridge. arXiv:0810.0731.

  3. "Generalized surface quasi-geostrophic equations with singular velocities". (with  D. Chae, P. Constantin, F. Gancedo and J. Wu). To appear in Comm. Pure Appl. Math.  arXiv:1101.3537.

          

                                                                        Publications (2012) 

  1. "Splash singularities for water waves". (with A. Castro, C. Fefferman, F. Gancedo and J. Gómez-Serrano) Proc. Natl. Acad. Sci. 109 (3):733-738 (2012). (arXiv:1106.2120)
  2. "Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves". (with A. Castro, Ch. Fefferman, F.Gancedo and M. López-Fernández) Annals of Math. 175 (2): 909-948 (2012). (arXiv:1102.1902)

       

                                                                        Publications (2011)

 

  1. “ Lack of uniqueness for weak solutions of the incompressible porous media equation. (with D. Faraco and F. Gancedo) Arch. Rat. Mech. Anal. 20 (2011), 725-746. 
  2. “Turning waves and breakdown for incompressible flows” (with A. Castro, C. Fefferman, F. Gancedo and M. López), Proc. Natl. Acad. Sci. 108 (2011), 12, 4754-4759.
  3. “Interface evolution: the Hele-Shaw and Muskat problems” (with A. Córdoba and F. Gancedo), Annals of Math. 173 (2011), (1), 477-544.