4 papers
Asymptotic models for viscoelastic one-dimensional blood flow
Diego Alonso-Orán, Rafael Granero-Belinchón, Carlos Yanes Pérez
We derive a unidirectional asymptotic model for one-dimensional blood flow in viscoelastic arteries. We prove local well-posedness of strong solutions in Sobolev spaces for general…
Weakly nonlinear models for hydroelastic water waves
Diego Alonso-Orán, Rafael Granero-Belinchón, Juliana S. Ziebell
In this work, we derive reduced interface models for hydroelastic water waves coupled to a nonlinear viscoelastic plate. In a weakly nonlinear small-steepness regime we obtain bidi…
A fluid-solid interaction problem in porous media
Diego Alonso-Orán, Rafael Granero-Belinchón
In this work, we derive asymptotic interface models for an elastic Muskat free boundary problem describing Darcy flow beneath an elastic membrane. In a weakly nonlinear regime of s…
Asymptotic models for the evolution of a circular biofilm
Diego Alonso-Orán, Ana Carpio, Rafael Granero-Belinchón
We study a class of lubrication-type equations modeling the spread of thin poroelastic biofilms at air/agar interfaces. Starting from a biofilm slab model, we perform a formal mult…