139 citations · 833 across the 40 of their papers we have counts for
49 papers
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…