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Papers

1. Contour dynamics of incompressible 3-D fluids in a porous medium with different densities, with D. Córdoba.
   Comm. Math. Phys., 273, no. 2, 445-471 (2007).
   
   
2. Analytical behavior of 2D incompressible flow in porous media, with D. Córdoba and R. Orive.
   J. Math. Phys., 48, no. 6 (2007).
   
   
3. Existence for the $\alpha$-patch model and the QG sharp front in Sobolev spaces.
   Adv. Math., 217, no. 6, 2569-2598 (2008).
   
   
4. A maximum principle for the Muskat problem for fluids with different densities, with D. Córdoba.
   Comm. Math. Phys., 286, no. 2, 681-696 (2009).
   
   
5. A note on the interface dynamics for convection in porous media, with D. Córdoba and R. Orive.
   Physica D, 237, no. 10-12, 1488-1497 (2008).
   
   
6. Incompressible flow in porous media with fractional diffusion, with A. Castro, D. Córdoba and R. Orive.
   Nonlinearity, 22, no. 8, 1791-1815 (2009).
   
   
7. Interface evolution: the Hele-Shaw and Muskat problems, with A. Córdoba and D. Córdoba.
   To appear in Annals of Math (2009).
   
   
8. The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces, with A. Córdoba and D. Córdoba.
   Proc. Natl. Acad. Sci., 106, no. 27, 10955-10959 (2009).
   
   
9. A naive parametrization for the vortex sheets problem, with A. Castro and D. Córdoba.
   Submitted (2008).
   
   
10. Interface evolution: water wave in 2-D, with A. Córdoba and D. Córdoba.
    To appear in Adv. Math. (2009).
    
    
11. Contour dynamics for 2D active scalars, with D. Córdoba.
    Newsletter of the European Mathematical Society, no. 71 (March 2009).