Now showing items 1-5 of 5

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      Interface evolution: the Hele-Shaw and Muskat problems  [Article]

      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 Darcy’s law. The free boundary is given by the discontinuity among the densities and viscosities of ...
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      Interface evolution: water waves in 2-D  [Article]

      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 tension. We prove local-existence in Sobolev spaces when, initially, the difference of the gradients ...
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      Porous media: the Muskat problem in 3D  [Article]

      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 discuss in 3-D the relevance of the RayleighTaylor condition, and the topology of the initial interface, ...
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      The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces  [Article]

      Córdoba Barba, Antonio; Córdoba Gazolaz, Diego; Gancedo García, Francisco (National Academy of Sciences, 2009-07-07)
      For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially ...
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      Uniqueness for SQG patch solutions  [Article]

      Córdoba Barba, Antonio; Córdoba Gazolaz, Diego; Gancedo García, Francisco (American Mathematical Society, 2018-01)
      This paper is about the evolution of a temperature front governed by the surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces was obtained by the third author (2008). ...