From the 1 of 6 linked papers with an AI index.
6 papers
Remarks on some quasi-linear fourth order parabolic equations arising in mathematical physics
Francesco Fanelli, Rafael Granero-Belinchón, Martina Magliocca +1
The paper proves existence and uniqueness of strong solutions for a broad class of fourth-order quasi-linear parabolic partial differential equations in Wiener spaces, and also add…
Derivation and well-posedness for asymptotic models of cold plasmas
Diego Alonso-Orán, Ãngel 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…
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…
New functional inequalities with applications to the arctan-fast diffusion equation
Rafael Granero-Belinchón, Martina Magliocca, Alejandro Ortega
In this paper, we prove a couple of new nonlinear functional inequalities of Sobolev type akin to the logarithmic Sobolev inequality. In particular, one of the inequalities reads $…
On the global well-posedness of interface dynamics for gravity Stokes flow
Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero
In this paper we establish the global-in-time well-posedness for an arbitrary , , initial internal wave for the free boundary gravity Stokes system in two dimensi…
Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows
Diego Alonso-Orán, Rafael Granero-Belinchón
In this note, we provide two results concerning the global well-posedness and decay of solutions to an asymptotic model describing the nonlinear wave propagation in the troposphere…