11 citations · 17 across the 3 of their papers we have counts for
3 papers
math.AP2023
Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects
Charles Elbar, Alexandre Poulain
We propose a new generalized compressible diphasic Navier-Stokes Cahn-Hilliard model that we name G-NSCH. This new G-NSCH model takes into account important properties of diphasic…
math.AP2021★ 11 cited
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model
Charles Elbar, Benoît Perthame, Alexandre Poulain
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study the convergence of a generalized nonlinear variant of the Keller-Segel to the de…
math.AP2021★ 6 cited
Effective interface conditions for a porous medium type problem
Giorgia Ciavolella, Noemi David, Alexandre Poulain
Motivated by biological applications on tumour invasion through thin membranes, we study a porous-medium type equation where the density of the cell population evolves under Darcy'…