12 citations · 21 across the 7 of their papers we have counts for
8 papers
Extreme congestion of microswimmers at a bottleneck constriction
Marvin Brun-Cosme-Bruny, Vincent Borne, Sylvain Faure +3
When attracted by a stimulus (e. g. light), microswimmers can build up very densely at a constriction and thus cause clogging. The micro-alga \textit{Chlamydomonas Reinhardtii} is…
Approximation of single layer distributions by Dirac masses in Finite Element computations
Benoit Fabrèges, Bertrand Maury
We are interested in the finite element solution of elliptic problems with a right-hand side of the single layer distribution type. Such problems arise when one aims at accounting…
A congestion model for cell migration
Julien Dambrine, Nicolas Meunier, Bertrand Maury +1
This paper deals with a class of macroscopic models for cell migration in a saturated medium for two-species mixtures. Those species tend to achieve some motion according to a desi…
Handling congestion in crowd motion modeling
B. Maury, A. Roudneff-Chupin, F. Santambrogio +1
We address here the issue of congestion in the modeling of crowd motion, in the non-smooth framework: contacts between people are not anticipated and avoided, they actually occur,…
A 2-adic approach of the human respiratory tree
Frederic Bernicot, Bertrand Maury, Delphine Salort
We propose here a general framework to address the question of trace operators on a dyadic tree. This work is motivated by the modeling of the human bronchial tree which, thanks to…
A macroscopic crowd motion model of gradient flow type
Bertrand Maury, Aude Roudneff-Chupin, Filippo Santambrogio
A simple model to handle the flow of people in emergency evacuation situations is considered: at every point x, the velocity U(x) that individuals at x would like to realize is giv…
A discrete contact model for crowd motion
Bertrand Maury, Juliette Venel
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: We first define a spontaneous ve…
Micro-Macro Modelling of an Array of Spheres Interacting Through Lubrication Forces
Aline Lefebvre-Lepot, Bertrand Maury, Aline Lefebvre
We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of inter…