Listar Artículos (Análisis Matemático) por autor 

Listar Artículos (Análisis Matemático) por autor "Córdoba Gazolaz, Diego"  

Mostrando ítems 1-20 de 26

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      A maximum principle for the Muskat problem for fluids with different densities 

      Córdoba Gazolaz, Diego; Gancedo García, Francisco (Springer, 2009-03)
      We consider the fluid interface problem given by two incompressible fluids with different densities evolving by Darcy’s ...
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      A note on interface dynamics for convection in porous media 

      Córdoba Gazolaz, Diego; Gancedo García, Francisco; Orive Illera, Rafael (Elsevier, 2008-07-15)
      We study the fluid interface problem through porous media given by two incompressible 2-D fluids of different densities. ...
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      Absence of squirt singularities for the multi-phase Muskat problem 

      Córdoba Gazolaz, Diego; Gancedo García, Francisco (Springer, 2010-10)
      In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical ...
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      Analytical behavior of two-dimensional incompressible flow in porous media 

      Córdoba Gazolaz, Diego; Gancedo García, Francisco; Orive Illera, Rafael (AIP Publishing (American Institute of Physics), 2007-06)
      In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a ...
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      Breakdown of smoothness for the Muskat problem 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco (Springer, 2013-06)
      In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, i.e., no longer belongs to C4.
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      Contour dynamics for 2D active scalars 

      Córdoba Gazolaz, Diego; Gancedo García, Francisco (European Mathematical Society, 2009-03)
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      Contour dynamics of incompressible 3-D fluids in a porous medium with different densities 

      Córdoba Gazolaz, Diego; Gancedo García, Francisco (Springer, 2007-07)
      We consider the problem of the evolution of the interface given by two incompressible fluids through a porous medium, which ...
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      Finite time singularities for the free boundary incompressible Euler equations 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier (Princeton University, 2013)
      In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also ...
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      Finite time singularities for water waves with surface tension 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier (AIP Publishing, 2012-11)
      Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension ...
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      Generalized surface quasi-geostrophic equations with singular velocities 

      Chae, Dongho; Constantin, Peter; Córdoba Gazolaz, Diego; Gancedo García, Francisco; Wu, Jiahong (Wiley, 2012)
      This paper establishes several existence and uniqueness results for two families of active scalar equations with velocity ...
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      Incompressible flow in porous media with fractional diffusion 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Gancedo García, Francisco; Orive Illera, Rafael (IOP Publishing, 2009-08)
      In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous ...
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      Interface evolution: the Hele-Shaw and Muskat problems 

      Córdoba Barba, Antonio; Córdoba Gazolaz, Diego; Gancedo García, Francisco (Princeton University, 2011)
      We study the dynamics of the interface between two incompressible 2-D flows where the evolution equation is obtained from ...
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      Interface evolution: water waves in 2-D 

      Córdoba Barba, Antonio; Córdoba Gazolaz, Diego; Gancedo García, Francisco (Elsevier, 2010-01-15)
      We study the free boundary evolution between two irrotational, incompressible and inviscid fluids in 2-D without surface ...
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      Lack of uniqueness for weak solutions of the incompressible porous media equation 

      Córdoba Gazolaz, Diego; Faraco Hurtado, Daniel; Gancedo García, Francisco (Springer, 2011-06)
      In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Sz´ekelyhidi we prove non-uniqueness for solutions in L∞ in space and time.
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      On the global existence for the Muskat problem 

      Constantin, Peter; Córdoba Gazolaz, Diego; Gancedo García, Francisco; Strain, Robert M. (European Mathematical Society, 2013)
      The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids with different constant ...
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      On the Muskat problem: global in time results in 2D and 3D 

      Constantin, Peter; Córdoba Gazolaz, Diego; Gancedo García, Francisco; Rodríguez Piazza, Luis; Strain, Robert M. (Johns Hopkins University Press, 2016-12)
      This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conservation law which provides ...
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      Porous media: the Muskat problem in 3D 

      Córdoba Barba, Antonio; Córdoba Gazolaz, Diego; Gancedo García, Francisco (Mathematical Sciences Publishers, 2013)
      The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In this paper we shall ...
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      Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; López Fernández, María (Princeton University, 2012)
      The Muskat problem models the evolution of the interface between two different fluids in porous media. The Rayleigh-Taylor ...
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      Singularity formations for a surface wave model 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Gancedo García, Francisco (IOP Publishing, 2010-11)
      In this paper we study the Burgers equation with a nonlocal term of the form Hu where H is the Hilbert transform. This ...
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      Some recent results on the Muskat problem 

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Gancedo García, Francisco (Cellule MathDoc, 2010)
      We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by ...