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Listar por autor "Gancedo García, Francisco"
Mostrando ítems 1-20 de 41
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Artículo
2º Congreso de Jóvenes Investigadores
Gancedo García, Francisco; Muro Jiménez, Fernando (Real Sociedad Matematica Española, 2013) -
Artículo
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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Artículo
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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Artículo
A survey for the Muskat problem and a new estimate
Gancedo García, Francisco (Springer, 2017-03)This paper shows a summary of mathematical results about the Muskat problem. The main concern is well-posed scenarios ...
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Artículo
Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem
Gancedo García, Francisco; Strain, Robert M. (National Academy of Sciences (United States), 2014)In this paper, for both the sharp front surface quasi-geostrophic equation and the Muskat problem, we rule out the “splash ...
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Artículo
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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Artículo
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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Artículo
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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Artículo
Contour dynamics for 2D active scalars
Córdoba Gazolaz, Diego; Gancedo García, Francisco (European Mathematical Society, 2009-03) -
Ponencia
Contour dynamics for 2D active scalars
Córdoba Gazolaz, Diego; Gancedo García, Francisco (2010) -
Artículo
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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Trabajo Fin de Grado
Deducción y resolución de las ecuaciones de las olas del mar lineales
Luna Velasco, Paula (2022-06-02)The main goal of this work is to prove the existence and uniqueness of solutions to the water waves equation in 2-D. We ...
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Artículo
Existence for the α-patch model and the QG sharp front in Sobolev spaces
Gancedo García, Francisco (Elsevier, 2008-04-01)We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the ...
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Artículo
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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Artículo
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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Tesis Doctoral
Free boundary and turbulence for incompressible viscous fluids
Salguero Quirós, Elena (2023-06-29)The mathematical bases of the dynamics of viscous fluids are given by the classical Navier- Stokes equations, which model ...
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Artículo
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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Tesis Doctoral
Global regularity for incompressible fluid interfaces.
García Juárez, Eduardo Miguel (2018-06-11)Esta memoria esta dedicada al estudio de tres problemas de frontera libre dadas por interfases entre fluidos incompresibles: ...
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Artículo
Global regularity of 2D density patches for inhomogeneous Navier-Stokes
Gancedo García, Francisco; García Juárez, Eduardo Miguel (Springer, 2018)This paper is about Lions’ open problem on density patches: whether inhomogeneous incompressible Navier-Stokes equations ...
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Artículo
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 ...