4 citations · 4 across the 1 of their papers we have counts for
5 papers
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…
Well-posedness of a water wave model with viscous effects
Rafael Granero-Belinchón, Stefano Scrobogna
Starting from the paper by Dias, Dyachenko and Zakharov (\emph{Physics Letters A, 2008}) on viscous water waves, we derive a model that describes water waves with viscosity moving…
On the local and global existence of solutions to 1D transport equations with nonlocal velocity
Hantaek Bae, Rafael Granero-Belinchón, Omar Lazar
We consider the 1D transport equation with nonlocal velocity field: \begin{equation*}\label{intro eq} \begin{split} &θ_t+uθ_x+νΛ^γθ=0, \\ & u=\mathcal{N}(θ), \end{split} \end{equat…
On the thin film Muskat and the thin film Stokes equations
Gabriele Bruell, Rafael Granero-Belinchón
The present paper is concerned with the analysis of two strongly coupled systems of degenerate parabolic partial differential equations arising in multiphase thin film flows. In pa…
A model for Rayleigh-Taylor mixing and interface turn-over
Rafael Granero-Belinchón, Steve Shkoller
We first develop a new mathematical model for two-fluid interface motion, subjected to the Rayleigh-Taylor (RT) instability in two-dimensional fluid flow, which in its simplest for…