139 citations · 833 across the 40 of their papers we have counts for
49 papers · 1 filter
Nonlinear Stability of 3D Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Susanna V. Haziot +2
This paper studies the three-dimensional Muskat problem for two immiscible fluids in a porous medium subject to gravity and surface tension. We consider the setting in which one fl…
Unstable Interface Dynamics for Gravity Stokes Flow
Francisco Gancedo, Rafael Granero-Belinchón, Zhongtian Hu +2
We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unsta…
On 2D Navier-Stokes free boundary: nonnegative density and small viscosity contrast
Francisco Gancedo, Eduardo García-Juárez, Paula Luna-Velasco
This paper is concerned with the evolution of two incompressible, immiscible fluids in two dimensions governed by the inhomogeneous Navier-Stokes equations. We prove global-in-time…
Global-in-time estimates for the 2D one-phase Muskat problem with contact points
Edoardo Bocchi, Ángel Castro, Francisco Gancedo
In this paper, we study the dynamics of a two-dimensional viscous fluid evolving through a porous medium or a Hele-Shaw cell, driven by gravity and surface tension. A key feature o…
Dissipative Euler flows originating from circular vortex filaments
Francisco Gancedo, Antonio Hidalgo-Torné, Francisco Mengual
In this paper, we prove the first existence result of weak solutions to the 3D Euler equation with initial vorticity concentrated in a circle and velocity field in $C([0,T],L^{2^-}…
On the global well-posedness of interface dynamics for gravity Stokes flow
Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero
In this paper we establish the global-in-time well-posedness for an arbitrary , , initial internal wave for the free boundary gravity Stokes system in two dimension…
On Nonlinear Stability of Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Neel Patel +1
In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement…
On the Cauchy problem for 3D Navier-Stokes helical vortex filament
Francisco Gancedo, Antonio Hidalgo-Torné
This paper studies the Cauchy problem for a helical vortex filament evolving by the 3D incompressible Navier-Stokes equations. We prove global-in-time well-posedness and smoothing…
Long time interface dynamics for gravity Stokes flow
Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero
We study the dynamics of the interface given by two incompressible viscous fluids in the Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravi…
Rigorous thin film approximations of the one-phase unstable Muskat problem
Edoardo Bocchi, Francisco Gancedo
This paper studies the one-phase Muskat problem driven by gravity and surface tension. The regime considered here is unstable with the fluid on top of a dry region. By a novel appr…
Global Regularity of 2D Navier-Stokes Free Boundary with Small Viscosity Contrast
Francisco Gancedo, Eduardo Garcia-Juarez
This paper studies the dynamics of two incompressible immiscible fluids in 2D modeled by the inhomogeneous Navier-Stokes equations. We prove that if initially the viscosity contras…
Quantitative Hölder Estimates for Even Singular Integral Operators on Patches
Francisco Gancedo, Eduardo Garcia-Juarez
In this paper we show a constructive method to obtain estimates of even singular integral operators on characteristic functions of domains with regularity, $0…
Well-posedness for SQG sharp fronts with unbounded curvature
Francisco Gancedo, Huy Q. Nguyen, Neel Patel
Patch solutions for the surface quasigeostrophic (SQG) equation model sharp temperature fronts in atmospheric and oceanic flows. We establish local well-posedness for SQG sharp fro…
Global well-posedness for the one-phase Muskat problem
Hongjie Dong, Francisco Gancedo, Huy Q. Nguyen
The free boundary problem for a two-dimensional fluid filtered in porous media is studied. This is known as the one-phase Muskat problem and is mathematically equivalent to the ver…
Global existence in the Lipschitz class for the N-Peskin problem
Francisco Gancedo, Rafael Granero-Belinchón, Stefano Scrobogna
In this paper we study a toy model of the Peskin problem that captures the motion of the full Peskin problem in the normal direction and discards the tangential elastic stretching…
Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space
Francisco Gancedo, Omar Lazar
We prove that the 3D stable Muskat problem is globally well-posed in the critical Sobolev space provided that the semi-norm $\Vert f_0 \Vert_{\dot…
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
Francisco Gancedo, Rafael Granero-Belinchon, Stefano Scrobogna
This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayle…
Global Regularity for Gravity Unstable Muskat Bubbles
Francisco Gancedo, Eduardo Garcia-Juarez, Neel Patel +1
In this paper, we study the dynamics of fluids in porous media governed by Darcy's law: the Muskat problem. We consider the setting of two immiscible fluids of different densities…
On the local existence and blow-up for generalized SQG patches
Francisco Gancedo, Neel Patel
We study patch solutions of a family of transport equations given by a parameter , , with the cases and corresponding to the Euler and the surface quasi-geos…
Regularity results for viscous 3D Boussinesq temperature fronts
Francisco Gancedo, Eduardo García-Juárez
This paper is about the dynamics of non-diffusive temperature fronts evolving by the incompressible viscous Boussinesq system in . We provide local in time existence…
On The Muskat Problem With Viscosity Jump: Global In Time Results
Francisco Gancedo, Eduardo Garcia-Juarez, Neel Patel +1
The Muskat problem models the filtration of two incompressible immiscible fluids of different characteristics in porous media. In this paper, we consider both the 2D and 3D setting…
Global regularity of 2D density patches for inhomogeneous Navier-Stokes
Francisco Gancedo, Eduardo Garcia-Juarez
This paper is about Lions' open problem on density patches \cite{LIONS}: whether inhomogeneous incompressible Navier-Stokes equations preserve the initial regularity of the free bo…
Global regularity for 2D Boussinesq temperature patches with no diffusion
Francisco Gancedo, Eduardo Garcia-Juarez
This paper considers the temperature patch problem for the incompressible Boussinesq system with no diffusion and viscosity in the whole space . We prove that for ini…
Uniqueness for SQG patch solutions
Antonio Córdoba, Diego Córdoba, Francisco Gancedo
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 w…