11 citations · 14 across the 19 of their papers we have counts for
3 papers · 1 filter
Degenerate Cahn-Hilliard equation: From nonlocal to local
Charles Elbar, Jakub Skrzeczkowski
There has been recently an important interest in deriving rigorously the Cahn-Hilliard equation from the nonlocal equation, also called aggregation equation. So far, only non-degen…
From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation
Charles Elbar, Marco Mason, Benoît Perthame +1
We provide a rigorous mathematical framework to establish the hydrodynamic limit of the Vlasov model introduced by Noguchi and Takata in order to describe phase transition of fluid…
Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation
Charles Elbar, Benoît Perthame, Jakub Skrzeczkowski
The Cahn-Hilliard equation with degenerate mobility is used in several areas including the modeling of living tissues. We are interested in quantifying the pressure jump at the int…