2 papers
math.AP2023
Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states
Charles Elbar, Benoît Perthame, Andrea Poiatti +1
The link between compressible models of tissue growth and the Hele-Shaw free boundary problem of fluid mechanics has recently attracted a lot of attention. In most of these models,…
math.AP2023
A phase-field system arising from multiscale modeling of thrombus biomechanics in blood vessels: local well-posedness in dimension two
Maurizio Grasselli, Andrea Poiatti
We consider a phase-field model which describes the interactions between the blood flow and the thrombus. The latter is supposed to be a viscoelastic material. The potential descri…