11 citations · 14 across the 19 of their papers we have counts for
Showing 2024 · math.APShow all
2 papers · 2 filters
math.AP2024
Sobolev estimates for the Keller-Segel system and applications to the JKO scheme
Charles Elbar
We prove Sobolev estimates in the Keller-Segel system with linear diffusion in any dimensionby proving a functional inequality, inspired by the Brezis-G…
math.AP2024
Nonlocal-to-local convergence of the Cahn-Hilliard equation with degenerate mobility and the Flory-Huggins potential
Charles Elbar, Jakub Skrzeczkowski
The Cahn-Hilliard equation is a fundamental model for phase separation phenomena. Its rigorous derivation from the nonlocal aggregation equation, motivated by the desire to link in…