6 citations · 8 across the 4 of their papers we have counts for
4 papers
Interfaces in incompressible flows
Rafael Granero-Belinchón
The motion of both internal and surface waves in incompressible fluids under capillary and gravity forces is a major research topic. In particular, we review the derivation of some…
Suppression of blow up by a logistic source in D Keller-Segel system with fractional dissipation
Jan Burczak, Rafael Granero-Belinchón
We consider a two dimensional parabolic-elliptic Keller-Segel equation with a logistic forcing and a fractional diffusion of order . We obtain existence of global in time regula…
Global existence for some transport equations with nonlocal velocity
Hantaek Bae, Rafael Granero-Belinchón
In this paper, we study transport equations with nonlocal velocity fields with rough initial data. We address the global existence of weak solutions of an one dimensional model of…
On the effect of boundaries in two-phase porous flow
Rafael Granero-Belinchón, Gustavo Navarro, Alejandro Ortega
In this paper we study a model of an interface between two fluids in a porous medium. For this model we prove several local and global well-posedness results and study some of its…