4 papers · 1 filter
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…
Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking
Claudia García, 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…
Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension
Thomas Alazard, Martina Magliocca, Nicolas Meunier
We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is to prove the existence of non-trivial traveling wave solutions and thus validate…