139 citations · 833 across the 40 of their papers we have counts for
4 papers · 1 filter
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…