2 citations · 4 across the 11 of their papers we have counts for
5 papers · 1 filter
Global existence for certain fourth order evolution equations
Rafael Granero-Belinchón, Martina Magliocca
In this paper we establish three global in time results for two fourth order nonlinear parabolic equations. The first of such equations involves the Hessian and appears in epitaxia…
A nonlocal equation describing tumor growth
Rafael Granero-Belinchón, Martina Magliocca
Cancer is a very complex phenomenon that involves many different scales and situations. In this paper we consider a free boundary problem describing the evolution of a tumor colony…
Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas
Diego Alonso-Orán, Rafael Granero-Belinchón
In this short note, we provide the well-posedness for an hyperbolic-hyperbolic-elliptic system of PDEs describing the motion of collision free-plasma in magnetic fields. The proof…
Derivation and well-posedness for asymptotic models of cold plasmas
Diego Alonso-Orán, Ángel Durán, Rafael Granero-Belinchón
In this paper we derive three new asymptotic models for an hyperbolic-hyperbolicelliptic system of PDEs describing the motion of a collision-free plasma in a magnetic field. The fi…
Long time interface dynamics for gravity Stokes flow
Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero
We study the dynamics of the interface given by two incompressible viscous fluids in the Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravi…