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math.AP2025
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…
math.AP2025
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…