50 citations · 87 across the 8 of their papers we have counts for
9 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…
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…
The Peskin Problem with Viscosity Contrast
Eduardo Garcia-Juarez, Yoichiro Mori, Robert M. Strain
The Peskin problem models the dynamics of a closed elastic filament immersed in an incompressible fluid. In this paper, we consider the case when the inner and outer viscosities ar…
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…
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…