47 citations · 265 across the 22 of their papers we have counts for
4 papers · 2 filters
On a nonlocal differential equation describing roots of polynomials under differentiation
Rafael Granero-Belinchón
In this work we study the nonlocal transport equation derived recently by Steinerberger when studying how the distribution of roots of a polynomial behaves under iterated different…
On an asymptotic model for free boundary Darcy flow in porous media
Rafael Granero-Belinchón, Stefano Scrobogna
We provide a rigorous mathematical study of an asymptotic model describing Darcy flow with free boundary in a low amplitude/large wavelength approximation. In particular, we prove…
Asymptotic models for free boundary flow in porous media
Rafael Granero-Belinchón, Stefano Scrobogna
We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness par…
Global existence and decay to equilibrium for some crystal surface models
Rafael Granero-Belinchón, Martina Magliocca
In this paper we study the large time behavior of the solutions to the following nonlinear fourth-order equations Thes…