20 citations · 30 across the 19 of their papers we have counts for
20 papers
Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension
Ido Lavi, Nicolas Meunier, Olivier Pantz
In this work, we propose and compare three numerical methods to handle the one-phase Hele-Shaw problem with surface tension in dimension two by using three variational approaches i…
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…
A stochastic model for protrusion activity
Christèle Etchegaray, Nicolas Meunier
In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement…