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…
A new asymptotic model of multilayer tumor growth
Rafael Granero-Belinchón, Martina Magliocca
In this paper we study the growth of a tumor colony of multilayer type and focus on how the tumor grows from a near flat (when compared to the length of the tumor as, for instance,…
Quasi-linear parabolic equations having a superlinear gradient term which depends on the solution
Andrea Dall'Aglio, Martina Magliocca, Sergio Segura de León
In this paper, we study existence and regularity for solutions to parabolic equations having a superlinear lower order term depending on both the solution and its gradient. Two dif…
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…
Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking
Claudia GarcÃa, Martina Magliocca, Nicolas Meunier
Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In https://doi.org/10.1103/PhysRevLett.110.078102, Blanch-Mercader and Casademunt perfomed a no…
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 $…