A. Mellet

activity

20052025

most citedFractional diffusion limit for collisional kinetic equations: A moments method

3 citations · 6 across the 10 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

Density-constrained Chemotaxis and Hele-Shaw flow

Inwon Kim, Antoine Mellet, Yijing Wu

We consider a model of congestion dynamics with chemotaxis, where the density of cells follows the chemical signal it generates, while observing an incompressibility constraint. We…

math.AP2022

$Γ$ -convergence of some nonlocal perimeters in bounded subsets of $R^{n}$ with general boundary conditions

Antoine Mellet, Yijing Wu

We establish the $Γ$ -convergence of some energy functionals describing nonlocal attractive interactions in bounded domains. The interaction potential solves an elliptic equation (l…

Density-constrained Chemotaxis and Hele-Shaw flow

Γ-convergence of some nonlocal perimeters in bounded subsets of Rn with general boundary conditions

$Γ$ -convergence of some nonlocal perimeters in bounded subsets of $R^{n}$ with general boundary conditions