20 citations · 30 across the 19 of their papers we have counts for
14 papers · 1 filter
Well posedness for systems of self-propelled particles
Marc Briant, Nicolas Meunier
This paper deals with the existence and uniqueness of solutions to kinetic equations describing alignment of self-propelled particles. The particularity of these models is that the…
Concentration in an advection-diffusion model with diffusion coefficient depending on the past trajectory
Cosmin Burtea, Nicolas Meunier, Clément Mouhot
We consider a drift-diffusion model, with an unknown function depending on the spatial variable and an additional structural variable, the amount of ingested lipid. The diffusion c…
Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension
Thomas Alazard, Martina Magliocca, Nicolas Meunier
We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is to prove the existence of non-trivial traveling wave solutions and thus validate…
Lyapunov functions, Identities and the Cauchy problem for the Hele-Shaw equation
Thomas Alazard, Nicolas Meunier, Didier Smets
This article is devoted to the study of the Hele-Shaw equation. We introduce an approach inspired by the water-wave theory. Starting from a reduction to the boundary, introducing t…
Modelling the inflammatory process in atherosclerosis: a nonlinear renewal equation
Nicolas Meunier, Nicolas Muller
We present here a population structured model to describe the dynamics of macrophage cells. The model involves the interactions between modified LDL, monocytes/macrophages, cytokin…
Analysis of a non-local and non-linear Fokker-Planck model for cell crawling migration
Christèle Etchegaray, Nicolas Meunier, Raphael Voituriez
Cell movement has essential functions in development, immunity and cancer. Various cell migration patterns have been reported and a general rule has recently emerged, the so-called…