2 papers
math.NA2020
Scalar auxiliary variable finite element scheme for the parabolic-parabolic Keller-Segel model
Alexandre Poulain
We describe and analyze a finite element numerical scheme for the parabolic-parabolic Keller-Segel model. The scalar auxiliary variable method is used to retrieve the monotonic dec…
math.AP2019
Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility
Benoît Perthame, Alexandre Poulain
The degenerate Cahn-Hilliard equation is a standard model to describe living tissues. It takes into account cell populations undergoing short-range attraction and long-range repuls…